Showing posts with label Leibniz. Show all posts
Showing posts with label Leibniz. Show all posts

Monday, January 13, 2014

Analysis of Descartes on Existence and Continuity

Descartes' analysis in the third meditation which equated the power for creating and preserving existence the same is important for how he sees God in relation to him as a cause.  I think that this moment in Descartes at the same time shows the distinction between two different kinds of causes, and then conceals them once again.  These causes begin to be unraveled again (in the canon passed down) by Leibniz, and the distinction is made again in Kant.
As a result of the second meditation, Descartes has placed the reader, and himself, before his own simple cognitions.  When you remove all inferences, and attempts to judge, Descartes still finds we have the raw activity of cognition - the seeming appearings, the loving and hating, the fact of judging (even if the truth is doubtable).  These shimmerings constitute our existence and this is what is referred to by the famous cogito sum.
The third meditation works on this more or less pure state recovered in the second meditation and attempts to analyze it to discover what else can be found in it.  When Descartes considers the cause of existence to be the same as the cause of the preservation of existence, we can get a clear picture of what he means by looking at our experience, which contains as a matter of fact a continuity as part of what is in every cognition.  How does Descartes take this experience, which contains a temporal depth (in its internal reference to the having been of the previous moment) and decide that it is the same thing to have this continuity as to have the simple existence?  Before I try to speak to this let me make some remarks about its apparent affect on history after him.
In Descartes' inheritors the results of the collapsed distinction between existence and preservation (continuity) are fascinating.  In Malebranche we find that at each moment God must act to set everything in its place (occasionalism).  In Spinoza we find something even more interesting which reveals a lot about what must happen when these things are collapsed: it no longer makes sense to say that the ego is a substance underlying the sequence, but that we must immediately have the absolute substance (God) be the unity of the continuity of events.  In both Malebranche and Spinoza we have God operating at every 'moment': everything is a miracle.
Lurking in the continuity of the cognitions is the 'great principle' put forward by Leibniz: the Principle of Sufficient Reason.  Through this principle, Leibniz will differentiate between the series of events (which is infinite) and the cause of the entire series itself (for Descartes, these were preservation and existence).  Leibniz found it intolerable that God would be performing a miracle at every moment, as apparently had to be the case under Descartes' analysis.  Additionally, the production of the 'I' (ego) in Leibniz is understood on the basis of the continuity of cognitions: in the Monadology, Leibniz discusses how apperception, as that which unified perceptions, is what produces the 'I' through a reflective process.  With differentiating between the continuity and the existence of moments of the series, Leibniz has introduced the substance of the subject again (which allows him to have more substances than just God, as in Spinoza).
Kant, perhaps without knowing it, takes Descartes' result in the second meditation more seriously, and along with the insights off Leibniz, continues more or less where Descartes has left off with an analysis of what is contained in the continuity of the experience.  What Descartes collapsed into the same cause, is for Kant's resolution to the third antinomy, the distinction between natural causes and spontaneous causes.  This distinction, in Kant, is the basis of the division of reason into the theoretical and the practical.  Many other implications in Malebranch and Spinoza, as well as things uncovered again by Leibniz and Kant, could be added to this, but I will save this for another time.
Returning to Descartes, what is it that he was seeing that allowed him to collapse the distinction that he had made between existence and preservation (continuity)?  It seems, to me, that one could see the continuity of the sequence as something that is entirely contained in the moment we are cognizing, and that we have  no reason to refer to the existence of another time before (the moment is entirely self-contained).  In Leibniz we find that the element in the moment which refers back transcends the moment and require just as much existence in the previous state in order to bring about the current one such that one original creation is sufficient for the series to continue.  At this point we have two speculative claims - that only this moment exists and that the whole series must exist.  In both Descartes and Leibniz the cause of existence is thought in terms of something in addition to the cognition of an object as such.
In Kant, the connection of the sequence is a rule of the understanding, and existence is not something we add to the object (as an extra judgment), but as part of the structure of cognition generally.  In Kant we do not find any reason to make the speculative claim that there is something like an 'efficient cause' of existence, or continuity, as seemed demanded by Descartes and Leibniz.
I think it is important to note that the advance that Kant seemed to make in his analysis is all possible in the picture that even Descartes had provided, and it would be interesting to try to carry the clarification through the rest of Descartes analysis (as well as those of other thinkers before and after).  When Descartes and Leibniz turned from their analysis - perhaps too soon - and started deriving knowledge from their conclusions, they turned to a scientific procedure which they hadn't eventuated yet in terms of its possibility.

Tuesday, August 13, 2013

Descartes and the Lowering of God

(While this 'story' surrounds some few thinkers, I recognize that there are many lost to me, and to history, which I leave out.)

   Descartes' Cogito is often read as denying the reality of objects.  This is how I think Descartes understood it as well, but, as I have written on in the past, I think that Cartesian doubt is actually a doubt of the subject, and his ability to act in relation to objects: Cartesian doubt preserves objects unchanged (theoretically), while separating us from them (practically).
   The result of Descartes' interpretation of the cogito as the list of cognitive acts (perceiving, willing, denying, &c), leaves him with a jumble of things which he rightly recognizes as containing nothing that relates them to the same being (as existing) over time.  The unity of these 'representations' is not contained in all of these acts of the mind (taken in an empirically psychological manner).  However, the continuity of his existence he takes as granted, and so can say, analytically, that there is some infinite idea/being that he depends upon for (the unity of) his existence.  This being is God.
   In relation to Descartes, Kant recognizes the pure concepts which are required when we experience representations, and which - under the unity of apperception - explain the unity of experience.  The unity of apperception plays the same role in Kant as God plays for Descartes (in the third meditation).  However, Descartes choice had a peculiar result in the history of philosophy (as we have received it) which we can, perhaps, learn from.
   As a result of God taking the position of the unity of apperception, and becoming responsible for the unity of experience, we found a way of thinking God which was immediately connected in our theoretical experience of the world (analytically).  However, Descartes begins a tradition that results in the lowering of God.
   Malebranche's Occasionalism represents a view where God works a miracle at every moment to position things correctly.  Spinoza's Monist-Deism does more or less the same in terms of making everything in nature an act of God.
   Leibniz is the first thinker (known to me) in the rationalist tradition that has been handed down, and emphasized, to truly recognized the problem here.  Leibniz demanded that God should not be considered to have caused any miracle save for the bringing into existence of the World.  This single miracle is, to Leibniz, worthy of His greatness.  If we consider, also, that the bringing into existence of everything is understood by Leibniz in terms of the triumph of Good (since this is the best of all possible worlds) it is clearer that this reflects a kind of practical attitude at the foundation of his system.  This decision of Leibniz' seemed to be incredibly important for the development of Kant's thought in relation to this same area.
   I do not write this post to plant a knife in Descartes back, nor to complain about Malebranche's or Spinoza's shortcomings.  I think that all of these thinkers were in possession of the answer to the problem I have raised here - the answer just laid dormant in their systems until a genuine concern with goodness could once again take its place at the helm of the structure of the system (and not merely the interest in first attending to it).  In order to learn from Descartes, Malebranche and Spinoza, we can uncover these practical propositions in their work (as well as bring them out more clearly in Leibniz), and so recover a great deal of clarifying thought for our own benefit (and training).

Thursday, June 13, 2013

Leibniz, Kant and the Principle of Sufficient Reason: Part I

   Leibniz and Kant share a great deal in common, and we can come to appreciate both thinkers more through getting a sense of how their thoughts meet.  One point of Kant's thought opened up when related to Leibniz's concerns the principle of sufficient reason which states that there is nothing without a reason.  I will briefly cast a glance at what seems most different about Kant and Leibniz in relation to this principle, and then describe how it is that these differences are different so that they can once again fall into a relationship of sameness.
   Through the principle of sufficient reason Leibniz understands a demand placed on us to provide grounds for every finite truth.  For example, whatever happens depends on something before, and this gives us an infinite series.  But what is the sufficient reason for the existence of this entire causal series?  The being which stands beyond the series of causes as its ground is God, and, being infinite, God requires no further ground.  We recognize this as the cosmological argument, and may remember that Kant found it to be insufficient.  This insufficiency of the cosmological argument is just one instance where Kant found our reasoning goes astray, but this insufficiency is symptomatic of reason's whole functioning.  This signals a marked difference in the attitude Kant has towards the role of the principle of sufficient reason.
   The very first sentence of the Critique of Pure Reason, which I quote on this blog frequently, reads:
"Human reason has this peculiar fate that in one species of its knowledge it is burdened by questions which, as prescribed by the very nature of reason itself, it is not able to ignore, but which, as transcending all its powers, it is also not able to answer."

These "questions prescribed by the very nature of reason" that transcend reason pertain to what Kant describes as the ideas: soul, World and God.  Among other descriptions, Kant calls reason the faculty of ideas.  As the faculty of ideas, it pursues the unconditioned of the different series of relations.  This is much in the same spirit of Leibniz, as we can easily see that what reason demands of us in the questions it prescribes is the same as the demands of the principle of sufficient reason.  However, for Kant, while a sufficient reason is demanded, human cognition is insufficient to the task - at least in its theoretical employment, that is, when it concerns knowledge of what exists.
   Because Leibniz confidently proceeds with the great principle of sufficient reason to God, and Kant does not, it seems to us that this is a great point of difference between these to great thinkers.    However, we may not understand this difference.  We can align Kant with Leibniz by pointing out that even while Kant says that we cannot attain to a knowledge of the unconditioned, reason still has this idea which pushes us towards such completeness.  For Kant, we do posit God as that which grounds coherence, even if it is merely as an idea.  Further, Kant's denial of our knowing God's existence ultimately amounts to the inability to be given any (empirical) intuition of Him.  Leibniz would also agree that we do not sense God, and so Leibniz would agree that if knowledge of existence requires a possible intuition, then we cannot possibly come into this relation to God.  For Kant, God is part of our nature, for Leibniz, God is something we satisfy ourselves about with a proof.
   Leibniz takes the employment - the use - of the principle of sufficient reason in relation to all the finite world demands that we must assent to the existence of God (I must note again that existence does not mean the same thing here that it means for Kant).  Kant, on the other hand, does not speak of the principle of sufficient reason when discussing the ideas, but it is clear that he sees reason as the operation of that principle - not as a piece of equipment which we employ for use relative to this or that truth, but concerning the demand our own nature puts on us a priori.  While Kant denies that we can know the existence of God, God is still a necessary idea of reason governing the coherence of all knowledge.  This is to say, that Leibniz's argument is not wrong, but it is an argument which need not, perhaps should not, be given: our very nature is already entangled with the form of this argument.  But, what is the problem of giving the argument?
   (Heidegger noted that Kant took the scandal of philosophy to be that no proof of the external world has been given, and, maybe, Heidegger thought he improved Kant by saying that the real scandal is that we tried to prove the external world at all.  Perhaps we can see now that Kant did not need any assistance from Heidegger, though we can appreciate his clarification.)  
   Kant does not argue for God's existence, but rather shows how God is posited by our very nature — by reason.  Everything we argue about – that we speak about – is in conformity with our way of thinking, and so has the character of an object in general.  This means that it depends upon the possible application of the categories - it depends upon the temporal.  If we are to give an argument for God's existence (or the existence of the external world) we begin to treat God under the categories, and bring him implicitly into the scheme of the temporal as if he were another thing among others which would required something to cohere it with all other beings - that is to say, the sort of God we argue for is restricted in advance to require an even higher God (just as Parmenides points out for Socrates the problem of the regress in forms).   I hope to deal with this more completely in another place.
   For Kant, God must remain 'problematic', which is to say, indeterminate whether it is possible or impossible.  God must remain this way at least for theoretical reason, which concerns existence, but as a posit that guides our activity - as a maxim - God has a practical reality for us.  Kant's conception of Practical Reason is another key for coming to understand how this difference between Leibniz and Kant, and perhaps will guide us to see how Leibniz is justified in arguing for the existence of God without the result of him being a member of an even high order series.

Wednesday, April 24, 2013

A Discourse on 'Rational' and 'Irrational'

(I found the original passage in the Aristotle's Physics (thanks John) that I had in mind, and it did not mention this distinction as between the rational and irrational, but I will pursue it as such, anyway, since I don't need Aristotle's permission.  For the relevant passage, see Physics Book θ, 251a30.  Also, Book θ is amazing generally.)

   Here is a distinction between rational and irrational:

The rational has many possible effects

The irrational has only one possible effect

   By this, we can say that heat is irrational because it can only bring about heat, but knowledge is rational because it can bring about many different things.
  A recent conversation about this distinction developed it and suggested a number of things that seem peculiar, but may shed some light as a discourse which can cut across the history of philosophy.  I have decided to develop the distinction from that conversation in the following way:

Something absolutely rational is not determinable by us, since it is that from which all possibility itself depends upon.

   Something absolutely irrational is something conceived such that it is entirely determined.  For something to be entirely determined requires that we cannot think of any other possibility for the thing that is either not already understood in it, or is contradictory to it.  (It is impossible - for us - to determine any particular so precisely.)
   I also add the notion of relatively rational, which is how we actually think objects in our finite way.  In this case we have outstanding possibilities which we can think concerning the things which we can think of as determined, but are unknown to us.
   As an additional note, I am thinking 'rational' and 'irrational' here as relating back to the Greek 'logos' (discourse), and not to 'nous' (mind).  This is very important, and I will spend the rest of this post detailing how it is important that 'discourse' is given a central role in this.  (I am understanding 'logos' with an etymological significance of 'gathering'.)
   Generally, I will think of discourse in terms of the manner in which we speak of things.  When we have more and more precise discourse, that is, more determined discourse, we find that it is less and less rational since the terms have more and more narrow uses the more we try to constrain them.  In human discourse, through language, we must necessarily think certain determinations through what we say, and so human discourse is already relatively irrational (in different degrees).
   Pure logical notation is very rational precisely because it minimally determines particulars, and for merely this reason.  A discourse which tries to speak about particulars, such as a first hand description or historical chronicle, are less rational, since they become more and more particular as to how the objects in the discourse are determined.  
   As a discourse becomes less rational, the possibility of contradictions multiply, and the more rational the discourse the fewer possible contradictions.
   When we think of 'God' we are thinking of something that is absolutely rational, and so something we cannot capture in discourse since all discourse must be determinate in at least some manner.  We are also thinking of an extreme which stands as an opposite to all contradiction, since with the absolutely rational no contradiction is possible.  It is interesting and needful to distinguish this kind of opposition to contradiction from what it means when we say other things can't contradict themselves, for example, when we say that what exists never contradicts itself.
   When we say that existence contains no contradictions, we do so while being able to think of alternate possible realities which do contradict what is.  However, with the absolutely rational, which we cannot actually think, we can at least negatively say that we could conceive of no other possibility since it is that which is compatible with the whole realm of  possibilities - even those which we cannot conceive of except for negatively.

Some Random Historical Comments:
   Plato's conception of forms as being the most perfect should not be understood in terms of the absolutely irrational, or totally determined, but in terms of the the absolutely rational or indeterminate.

   This discourse seems helpful for understanding Leibniz' insistence on the importance of possibles, and perhaps can provide some clarity for how he conceives of God as related to all of the possibles, since even for God there are more possibilities.  This is in contrast to Spinoza, where everything follows from Gods nature, and so there is only one possible way things can be, which means that there is no absolutely rational thing in the sense developed above in relation to God.

   Kant's understanding of noumena, or the problematic, would be that which is the most rational, but by being the most rational it is undeterminable by us while being exactly what our reason strives for.

   We can see man, as the rational animal, in terms of being the animal who has less specifically determined about him, and so this definition from Aristotle can be seen as very similar to Nietzsche's own, that we are the hitherto undetermined animal.

   For Hegel, the difference between being and nothing seems to be between the absolutely rational and irrational.

Tuesday, April 16, 2013

Choosing Existence over Possibility

(This post relates in some manner to my other recent post Siding in Favor of Existence as a Problem.  I hope to return to this topic by means of these reflections, as well as the discussion of understanding the question concerning why there is something rather than nothing.)

   Recently, while reading Part I of Either/Or, I was considering what it is ultimately pulls us out of our life of possibilities into the world we often call the actual, or existing world.  There are clear advantages to a life in the possible: I can construct any story I wish, follow the paths of different lives, skip what's not interesting, change elements of my life on a whim, and many other obvious things.  However, we choose to emphasize the world which appears to us apart from our imagining and projecting, and tend towards using this as a standard for organizing our life.  
   From just noting that the actual world does appear to us is not enough to show that we must, even always do, organize our life exclusively around it: sometimes we think through the possibilities available to us to decide what to do, and even when we do not see how these possibilities relate to our current situation, we can understand from them how it is we want to advance in any circumstances.
   It is clear that we require empirical concepts for our projections of possibility, and so possibility must at least take their standard from the world so far as it will project particular possibilities, however, at some point could we simply begin to rank and prioritize the possible over the existent, even when it leads to our doom in the world of existence?  Perhaps we can, but I do not mean to try to develop a view to convince anyone to pursue this goal, but I am interested at least in why it is that the existent continually pulls us back in, not because these things are not obvious in their own way, but because it is important to get clearer on them, and their central role in determining our orientation to life.

   (We could just as well consider how even though we tend towards emphasizing existence, we sometimes are called out into the possibilities and emphasize those; how do we understand this shift in interest in an a priori manner (according to forms of experience)?)
   There are events which involve interest in the existence, such as, pleasure and pain, the beautiful and duty.  All of these play some role in orienting us to the existing. The latter two of these, beauty and duty, place us in a free relation to existence: in the case of the beautiful, we are interested in the object and it is susceptible to our understanding; with duty, we are responsible for something, and so cognize ourselves as able to bring it about ourselves apart from circumstances.  In contrast, pleasure and pain place relate us to existence through interest in continuing or ending a feeling, and not to us in a free determining relation to nature (as minds, with beauty, or agents with duty).  
   Not only is our enjoyment (and pain) tied to existence, but also the source of our sense of higher calling, and self worth.  From this, it seems little wonder why we prefer to concern ourselves with the existing, and would laugh at anyone who pursues a life of pure possibilities - to the degree they could attain this life, they also could not have actual enjoyment or actual self-worth.  (However, we learn from Kierkegaard to not have a hard heart towards those who feel they can avoid difficulties by trying to live a poetic existence, as the  aesthete does in Either/Or, even if he is not necessarily to be emulated.)
   These interests of pleasure, pain, beauty and duty all show experience, and us, to be organized in a certain way a priori, and first seem to allow us to start organizing and integrating more and more into a developing perspective.  There is a lot of work to be done in understanding how these different original interests in experience relate and develop in relation to each other.

A note on Leibniz:
   Leibniz maintains that all possibilities have a degree of being, but are not actual.  What determines them as actual cannot merely be their non-contradiction, since there are many non-contradictory possibilities, and so something else needs to play this role of determining the actual from the possibles: goodness.  It is possible to see this as related phenomenologically to the discussion above: we think and project all kinds of possibilities and certain of them are more vivid (have a greater degree of being) for us because of the characteristics which Leibniz emphasizes - goodness.  Perhaps the fact that it is by degree that the possible is separated from the actual is a signal that to Leibniz the interests in the actual illustrated above play a role in settling this ranking, and so Leibniz' rather strange sounding account of the determining of actuals is merely a phenomenological account of how we do cognize the actual from the possible, given that both are available to us with the same level of access.

Tuesday, March 19, 2013

Concerning A-Moral Situations

   Most situations in life lack a clear moral imperative.  Do you feel a moral compulsion regarding the manner with which you walk down the street, or is it clear what you ought to do with yourself during an elevator ride?  These a-moral situations can be easily overlooked concerning the possibility of their acquiring a moral character, and perhaps this is a problem.  I want to simply reflect on this and draw some implications that I think are interesting.
   It is possible for any situation to acquire a moral character.  We cannot predict what filling the gaps in our understanding will do to how we see situations.  However, granting that any situation may eventually be understood as moral, is there some reason why we should seek to uncover the moral character of every situation?  Before considering this more, I would like to consider just the matter of a situation acquiring a different moral character.
   My most often used example of a sudden shift in the moral character of situation is as follows: imagine a murder in progress which you feel you feel compelled to prevent by a sense of duty (we can ignore whether or not you decide to take action).  Now, imagine you hear, "Cut, cut, cut! What do you think you're doing here?  We're in the middle of a shoot!"  Clearly, you will have realized that the situation was not what you originally supposed, and while you will still feel that you should help people out when an injustice is being done to them, this was not actually a case of injustice, but acting.
   For a long time, situations like this have led me to consider some possible implications concerning the relationship between our theoretical and practical characters.  The moral character of a situation is not discovered like theoretical characters which appear, but emerge as a moral feeling in relation to the understanding of the situation (in a manner well described by Kant's Categorical Imperative).  Our duty itself is never questionable, but our understanding of the situation necessarily is unless we grant ourselves omniscience; because of this, we must ask: does a recognition of our theoretical limitations throw our determinations of duty into doubt, not because we judge incorrectly from a moral standpoint, but because we do not understand the world well enough?  Does this lead to a requirement to understand the world better?
   From the perspective of Kant's critical philosophy, this practical-theoretical feedback loop, which we are all familiar with from experience, can help us to illustrate some of Kant's picture of the relationship between our judgments more acutely.  However, from the perspective of our lives there are different difficulties we face, since we cannot wait until we omniscient before acting from fear of doing something wrong - even pursuing knowledge requires action.  
   When we expand our consideration from shifts in our moral understanding to cases that are currently without a moral determination, we have a question if we should be trying to find out the moral implications involved, and in what order and with what procedure we should go about it (if we should take any special action at all).  
   There are places in the history of philosophy that may be able to be cleared up by considering this further: Plato's determination (and Aristotle's agreement) that all things go towards the good; Descartes, in the Fourth Meditation, discussing how it would be best for every situation to be morally determined; Leibniz' determination of everything actual as being brought into its actuality by the ultimate determination of Goodness.  These things won't all be clarified in the same way, and to the same end, but considering what possible moral determination everything may potentially have, and seeing if we are constrained to feel they all do and why can shed a lot of light here.

Tuesday, February 12, 2013

Siding in Favor of Existence as a Problem

   For some months I have been trying to appreciate the question, "why is there something instead of nothing?"  This question is asked by Heidegger in his Introduction to Metaphysics, but I began by considering the question as it is answered by Leibniz, and torn open again by Kant (as well as in some other  reflections).  In my mind I have been working towards a confrontation with Parmenides, who I see as having made some important determinations regarding 'nothing', as he is considered the origin of the principle ex nihilo nihil fit(Out of nothing comes nothing).
   My confrontation with Parmenides has been postponed indefinitely, as I have come to realize the importance that Kant's little belabored treatment of 'nothing' in the Critique of Pure Reason.  Here I want to provide an opportunity to reflect by challenging the assertion: at least something exists. First I will need to frame this assertion so that the difficulties opened up by Kant can be appreciated.
   Even though our experience is entirely of what appears to us, we at least say for ourselves that something more must exist.  Concerning this something, even if we can be completely wrong about its character, we at least know it exists.  But, what Kant shows in his considerations of the 'problematic' is that really we have no right to even make this claim.
   For Kant, to exist is merely a basic determination of object of a possible experience: existence concerns merely the synthetic unity of representations.  This being said, if we want to show something existing apart from experience, we are going to have an impossible time of it.  Even still, we are confident in claiming that there is something that exists underlying what appears.  We may even go so far as to laugh or roll our eyes at those who would deny that at least something exists.
   Kant himself remarks that the very term 'appearance' suggests something that appears, and so already is in favor of this existing substrate.  However, Kant just as much denies that we can apply the category of existence beyond appearances - at least when we are concerned with what can be known by us - and so it is a belief that we assert when we say that there is a substrate of all experience that has the character of a something.
   With the possibility of the 'ground of existence' being the character of nothing we find ourselves at the threshold of nihilism.  However, there is no grounds for characterizing the 'ground of existence' as having the character of nothing, either.  (Here we are perhaps getting at the heart of Jacobi's misunderstanding when he coined the word 'nihilism' in reference to Kant's Critical Philosophy.)  So far, I have implied that there is a character to something as well as nothing; in Kant's thought this character is determined relative to time.  The 'ground of existence' must be understood out of relation to the temporal.  We may be tempted to suggest that the eternal is what evades time, but it seems that this notion is employed with preference for the character of something, and so I will leave it behind for now.  
   Kant's term of choice for this domain outside of time is the problematic, which is not 'something' or 'nothing', but is indeterminate if it is of the character of something or nothing, possible or impossible.  (It is often the case that impossibility is understood through non-contradiction, and with the problematic we find non-contradiction cannot strictly apply.  This is a clue for understanding logic so far as it takes itself to be founded on such principles.)  In Kant's work, he seemingly resolves the problematic as quickly as it opens us.  He does this by illustrating how we side with 'something' as the character of the problematic due to the constitution of our moral life (that is, not as a moral conclusion, but as the very possibility of our thinking morally).  
   I take Kant's work showing the relation of the moral to the problematic to be perfectly correct, but I think more can be said in emphasizing the manner in which the problematic is determined in favor of 'something'.  The importance of such reflections, I believe, are immeasurable.  Keeping the problematic in view helps to show the deficiency in nihilism as well as enthusiasm, while still respecting the difficulties that those views overcome.  Also, showing how the moral life settles the matter of the problematic provides for   endless amounts of reflection on all domains of thought.  In addition, we can also begin to see how language is completely infiltrated with this determination in favor of existence - not in order to reject such infiltration, but to understand it.

Sunday, January 13, 2013

Kant and the Principle of Sufficient Reason

For Leibniz, the principle of sufficient reason demands that for everything that is there must be a reason. Leibniz reasons that because there is no contingent thing that can be a sufficient reason for all other contingent things, we must look beyond the totality of existing things towards something which the totality can derive its existence from. This being that is the reason for the totality is God, and because God's essence is existence we have no need to demand a further reason for his existence.
Kant is considered to have advanced beyond Leibniz by showing that the sort of proof that Leibniz gives fails in what it promises. However, we should not be too quick to think that this rejection places Kant in complete opposition to Leibniz, since Kant still employs the principle of sufficient reason in the same manner that Leibniz does. We should consider just how different Kant's position is from Leibniz'.
Kant constrains the term 'existence' to apply only to objects of an actual experience, and since God is an object of even a possible experience, existence is improperly applied to him. Further, existence, as well as the other modalities of possibility and necessity, are not properties of things, but only represent the manner in which something is related to our mode of knowing it. In Kant's terminology, God isn't even possible; God is 'problematic', that is, we can think Him consistently, but have no way of knowing if he is possible or impossible (since He cannot be an object of possible experience). From this standpoint we easily see that Kant finds great problems in arguments for the existence of God. However, Kant does not count God out in this way, but realizes he must seek a different approach.
While showing that the ontological argument does not work, Kant still accepts the principle of sufficient reason as making a valid demand on us; the difference between Leibniz and Kant on this point is that Kant doesn't allow the demand from the principle to cause him to overstep the limits of his knowledge. However, Kant does show that we at least thinking beyond the boundary of theoretical reason, but just thinking beyond this boundary does not prove any existence.
However, what Kant calls 'practical reason' thinks intelligible being in terms of a necessary demand of the moral law. Under the heading of practical philosophy, Kant can begin to work towards the same position Leibniz maintained, however Kant will not attempt to maintain it as a known fact, but rather as a postulate of our practical manner of thinking. The best we can do is say 'God ought to be' as an expression of our constitution as knowers struggling against the demand our moral life places on us. I won't dwell on Kant's practical thought in relation to Leibniz here, but will only go into closer detail concerning Kant's use of the principle of sufficient reason for maintaining our capacity to think the intelligible.
Kant considers cause in the following way: whenever something happens, it presupposes something prior - a cause. (It is important to emphasize a happening.) If the cause is thought in terms of a happening, then it also must be thought as having a prior cause; if it is not thought in terms of a happening, then it is thought outside of the temporal order. Thus we can think a causal order stretching back indefinitely in the natural order, as well as spontaneous causes that are technically thought as supernatural. This shift from the natural order to the super-natural order is exactly how Leibniz argues for the existence of God. However, Kant still maintains that our capacity, and even need, to think these supernatural causes does not prove their existence, but a peculiarity of our form of cognition. In the realm of practical reason, Kant maintains that freedom, immortality and God are three postulates (roughly, assumptions); as postulates they are thought as really existing, however, we do not know them to exist even still.
Now, if Leibniz is to be similar to Kant, we would expect to find that there are moral grounds supporting Leibniz' determination of the existence of God, and not merely theoretical grounds as appears to be the case in his argumentation. It is plain to see that Leibniz' work is highly oriented towards living the best life possible, so there may be room to discover a reason to interpret Leibniz as operating from the very beginning in a practical mode, and so potentially being very close to Kant in the end. I hope to continue to look into this in further study.

Sunday, December 30, 2012

Reconciling Rationalism and Empiricism: the Infinite, Finite and Indefinite

Considering the relation between the infinite, finite and indefinite can help overcome the difference between the Rationalists and the Empiricists. This is a rough exploration of this possibility.
A well known way of thinking about the indefinite is to consider a series that has no end, for example, the series of all natural numbers. We can imagine counting this series without having to stop. What does this "without having to stop" consist in?
In some way, it is a characteristic of a natural number is that they are finite. Because of this quality finitude, when we think a number we can always think a larger which will also have the quality of finitude. Since finitude is figured into every natural number in advance, it would be a contradiction to suppose any largest in the series.
From the above, Empiricism concludes that there can not be an absolute largest in the series of natural numbers. We are restricted to experience in our discovery of natural numbers, but we can think no reason the series could end, so we can say the series of natural numbers is indefinite, but not infinite.
This can appear to be a sufficient refutation of various Rationalist arguments that employ the infinite to prove the existence of absolute substances, causes, ideas, &c. We have no justification for saying that the series terminates in an absolute, since the series does not admit of any absolute member.
For example, Leibniz' Principle of Sufficient Reason demands a ground (reason) for everything. Leibniz uses this to argue that in order to have something there had to be an absolute (infinite) ground. From the perspective of a series, this is faulty reasoning, since we cannot see how any particular thing supposes a ground that is absolute rather than finite, and so an Empiricist would reject Leibniz' Principle of Sufficient Reason.
However, if we adjust our view we might see a different way of understanding Leibniz' principle.
When we count our series of natural numbers we can understand that we can count on forever without finding a largest. What grounds this feeling of being able to count on forever? If we turn to the individual numbers, and say that with a natural number we already understand that they are finite, and that we can count higher, we are not in a better position, since we can still ask: what grounds are there for thinking this quality of finitude?
If we understand the discussion of the infinite (absolute) as trying to understand how finite things attain this quality of finitude rather than how they appear in a series, then we can understand the discourse on the infinite as simply saying, we think the finite in contrast with the infinite. In this case, we are not thinking infinite as the largest finite thing - which is a contradiction - but rather we think the infinite strictly as the ground for thinking the quality of finitude distinctly (distinctness has to do with thinking something with a specific different).
If this possibility is employed in understanding the Principle of Sufficient Reason, then we see that the absolute (infinite) ground does not need to be thought in terms of the cause furthest in the past, or first in the series, but rather the absolute ground is that through which we comprehend the finite aspects of the series.
Kant thinks along similar lines in the Critique of Pure Reason.In the resolution to the Third Antinomy - which concerns the thesis, "there is a first cause", and the anti-thesis, "there is no first cause" - Kant concludes that both are true, if you allow yourself to think of them as operating in different ways.
Kant thinks cause in the following way: whenever something happens, something is always presupposed that came before. From this it is easy to see the necessity of an always prior happening. However, Kant asks if we are required to think of the prior thing in terms of a happening. His conclusion is that there is no such requirement, and so we can think the prior thing in a different way. Whenever we think the coming before in terms of happening, we also suppose a further coming before. But, when we do not think the coming before in terms of happening, then we do not suppose an earlier happening, but an intelligible ground. In the first case, cause is thought temporally as happening, and in the second as ground, which is not temporal.
To illustrate thinking a prior thing without thinking it as a happening, consider a basic natural law, such as gravity. When we see an object move towards the Earth, we see it in terms of the series of happenings, this series is an expression of the law of gravity. But in thinking gravity as a ground, we think it as 'something' spontaneous - not in time.Gravity, as a ground, is not an appearance, or a happening; we can't posit existence for it, but it is intelligible.
Applying this back to Leibniz, we can see that his manner of thinking the absolute (infinite) ground could be seen in terms of a law thought as an intelligible something, and not in terms of a most prior element in the series of happenings. According to Leibniz, then, in order to think any element in a series in its particular dependent way, we also think of merely intelligible thing which grants it this dependent status. An element of a series is dependent upon its prior cause in one sense, but in another sense it is dependent on the particular way it is conceived of as dependent.
(Generally, I think a resolution between the Empiricists and Rationalists using a syllogism as a model:
Major Premise
Minor Premise
Conclusion
Empiricists seem generally concerned with the validity of conclusions. Rationalists seem to be concerned with how the major premise (rule) can apply to the minor premise (case).
Asking into the validity of this or that conclusion is asking into the a posteriori. The accounting for the connection of the rule to the particular is asking into the a priori. The former considers cause in terms of the series of events, the latter considers the cause from the perspective of how the rules are applicable at all a priori - in terms of 'logical' ground.)

Wednesday, December 26, 2012

Reflecting on Kinds of Nothing in Kant and Leibniz

Recently I have been working on getting a handle on 'nothing' in order to to more fully appreciate Heidegger's question in Introduction to Metaphysics: Why is there something rather than nothing? I wish to understand this question not simply to understand Heidegger - he can speak for himself well enough - but to help understand some of the history of philosophy where Heidegger drew the question from. And this goal itself is only a stop along the way to unlocking the significance of 'nothing' for continued genuine questioning.
So far I have considered Leibniz and Kant. The reason for considering Leibniz is that he asks and answers our guiding question in a manner that Heidegger is aware of and reflective about. My reason for selecting Kant was my familiarity with him, and that his passage on nothing has a straightforward introduction to some difficulties of the subject; a secondary consideration was that the section that Kant's discussion of 'nothing' appears in - the Amphiboly - is one which Heidegger calls decisive, even if he does not (to my knowledge) directly reference the discussion of 'nothing'.
I also plan to consider 'nothing' in Parmenides, but before I do I want to take an opportunity to reflect on the considerations so far and to add some remarks and refinements.
One thing that has come up in the interpretation so far has been different kinds of nothing. For Leibniz, I attempted to understand nothing as the simple negation of the actual, as well as nothing as a privation (of goodness); in Kant, there was also nothing as a negation of the different ways of being judged objectively, as well as a nothing that was indistinguishable from being: the problematic object, theoretically indeterminable whether it 'is' something or nothing. To help to understand these different types of nothing I will consider the negation of a specific thing (any thing, say, a cup).
For Leibniz, the denial of the actuality of a specific thing means that it is contradictory with whatever is actual and better (more good). The negated object is still a possible object, but it has specific reasons relative to what is actual for not being actual (even if we do not know them). Simply not being actual still allows us to consider why this is so, and so blurs the difference between nothing as not-actual and as privation. If an object is self-contradictory, however, then we get a different sense of nothing for Leibniz which we should consider.
For Kant, the negation of a specific object reveals no other determination about it, but this also does not mean an object is nothing, but simply that we think it as an object of possible experience. A cup is not impossible, and so is not properly nothing, just as in Leibniz we can say that the negation of the actuality of the cup is not nothing.
For Kant, 'nothing' is determined by impossibility of the object being given in any possible experience, and there are four ways of being such an impossible object. However, the impossibility of the object is ultimately determined by its inability of being temporalized. So, for Kant, 'nothing' is relative to the constitution of our experience. On the other hand, the problematic is the positive expression of the limits of our cognition, and reveals some new options.
If something is problematic for us, and intelligible, then it is at least not self-contradictory, but we still cannot say that it is possible or impossible, since it does not relate to a possible experience. Freedom is such a concept as this, which we can think without contradiction, but also cannot be made an object of a possible experience. We can also consider the problematic in stronger terms, according to what is not even intelligible; here, even self-contradictory concepts, such as square circles, are considered problematically. Perhaps there is a being which 'experiences' square circles, and for whom a round circle is a contradiction. This is meaningless for us apart from the recognition that our form of experience is not itself necessary.
In Kant, then, we have, first, the negation of a thing, which still leaves it as possible - the imaginable; second, the nothing, which means something impossible - inability to temporalize; third, the problematic intelligible object, which is also atemporal, and is thought without contradiction - the positive expression of the limits of theoretical reason; fourth, the unintelligible problematic object which is atemporal and self-contradictory, which we can think as possible for some being constituted differently than us - the positive expression of the limits of all human reason.
We may be tempted to consider a fifth: the absolute problematic - a positive expression of the limits of any kind of reason (not only human). But the only reason that this cannot really be considered, is that it is actually just an instance of something unintelligible problematic. The contradiction of absolute limitation is that limitation is always of something, and so a non-relative limitation cannot be thought by us. However, just because it is unintelligible to us, does not discount it absolutely, since it is still unintelligible problematically.
Leibniz considers the self-contradictory to be exactly the absolute problematic (the unconditioned limit), but because this absolute limit is intelligible, it must be different from our determination above. For Leibniz, the absolute limit is self-contradiction, which is even a limit for the absolute being - God. In Kant's terms, Leibniz only goes as far as the intelligible problematic, but this intelligible problematic is determined to exist by Leibniz, and not just as intelligible. From Kant, we see that practical reason is what first gives the (intelligible) problematic determinations beyond self-consistency, such as existence, and on such practical foundations we make further determinations within the problematic. This shows more clearly the moral outlook already unconsidered in Leibniz' position.
Since Leibniz determines the absolute being as existing, and so as having a (theoretical) thingly character, we can see a choice had to be made between how we think God and objects: either the objectivity of objects must be expanded to be moral, or the nature of God must be reduced to conditions of appearance so that he can be determined theoretically. (Perhaps we can see a glimpse of Spinoza's pantheism here.) We know that Leibniz expands on the objectivity of the object, making goodness the determining factor of the actual. But, in order to have real possibilities - actual possibilities - these also must be good, and so a consideration of degrees is employed.

Monday, December 24, 2012

Understanding the Question, "Why there is something rather than nothing?", Part II: Kant

When considering the title question with regards to Leibniz, I found that the Twenty-Four Statements (as titled by Heidegger) supported two different ways of thinking 'nothing'. There was one sense that concerned just that something is actual or not. The other sense of nothing was the privation of goodness in things that were possible; the best of the possibles were the ones that became actual.
The cause (= real ground) of there being something rather than nothing in Leibniz is an absolute being (God), and this being is necessary simply given that there are actual things. There is nothing higher than the absolute being, and so nothing is just privation of what brings something into actuality - relative goodness. Kant determines the thingness of things in a different manner than Leibniz - a manner that does not involve the ethical aspect of life, and the result is very different. For Kant, we are constrained to objects of a possible experience. I will consider, now, how Kant thinks the question of why there is something rather than nothing in terms of the object of possible experience.
In the end of the Appendix to the Analytic of Elements in the Critique of Pure Reason there is a short passage concerned with 'Nothing'. This section begins with the following:
"Before we leave the Transcendental Analytic we must add some remarks which, although in themselves not of special importance, might nevertheless be regarded as requisite for the completeness of the system. The supreme concept with which it is customary to begin a transcendental philosophy is the division into the possible and the impossible. But since all division presupposes a concept to be divided, a still higher one is required, and this is the concept of an object in general, taken problematically, without its having been decided whether it is something or nothing. As the categories are the only concepts which refer to objects in general, the distinguishing of an object, whether it is something or nothing, will proceed according to the order and under the guidance of the categories." (A290 B346)
We can let Kant's discussion of the kinds of nothing stand on its own here, but take up the investigation of the problematic - the merely intelligible object in general which is divided conceptually into the possible and the impossible. The possible is already a something, while the impossible is already a nothing.
The determination of something or nothing is along with the Categories, and the Categories have significance, as we learn in the chapter on the Schematism, as a priori time determinations. The category of possibility means: "the agreement of the synthesis of different representations with the conditions of time in general." (A144 B184) So, if we consider the difference between something and nothing the problematic object which these are divided from, we can see that it is temporality generally that divides them. The problematic object is intelligible while not being in time.
If we ask the question, "why is there something instead of nothing at all?", and try to answer with Kant's conception of nothing, we only get the difference between a thing and the kinds of negations of determinate negations of temporality. There is no answer here. But, as with Leibniz, we can allow ourselves a sense of nothing as negation of 'actuality', and another sense of nothing beyond this sort of negation of something.
For Kant, the problematic is a nothing in more than the sense of negation of something, but in terms of the limits of our theoretical cognition. We could also remark that from the perspective of theoretical reason, Leibniz' 'real ground' would be just as likely absolute Being as it would be absolute Nothing.
If we consider how the problematic can give us an account of question, we can be sure that theoretical reason will have nothing to do with it. Theoretical reason will always send you looking for prior causes forever, which is something we should do, but also cannot answer our question. To get a handle on the answer for our question, we must constrain ourselves to think the problematic in one way or another. Kant gives us the manner in which we do this in his discussion of freedom in the resolution to the third antinomy.
In the third antinomy, Kant is addressing the conflict between a supposed first cause, and the necessity of there always being a prior cause. Kant's resolution is that both sides of this dispute can be true. While we must think everything that happens in terms of something that comes prior, it is not necessary that we think the prior as only appearance. Therefore, we can think something prior in a temporal way - according to an order of nature - and an a-temporal way - according to an order of freedom. But, we cannot arbitrarily decide when to think according to the temporal or not, since cause is a necessary a priori connection of representations. When are we constrained to think in accordance with a cause outside of time? Kant's answer for this is - when we think the moral: when something ought to be.
For Kant, then, the transition to Practical Reason first gives us a determination of the problematic. For theoretical reason, the problematic was indeterminate concerning its being or non-being, but with practical reason we are constrained to think the problematic in terms of being, and so to employ our temporal/theoretical scheme back onto the absolute in order to make it intelligible as a being. This illustrates how the practical determines the noumenal realm in a certain way due to the constraints of our faculties, and so shows how we must operate in relation to the absolute, but at the same time denying any real knowledge of it.
For Kant, the question "why is there something rather than nothing?" is entirely senseless for theoretical reason, but under the constraints of practical reason, the question takes on a significance for us. I not look at the answer that Kant gives to this question, but would rather take some time to consider Leibniz' and Kant's approaches to the question.
For Leibniz, the question already had moral significance, while Kant was restricted at first to a purely theoretical view, from which point the question was senseless, and then showed the transition to the moral view wherein the question takes on sense again. In terms of the ethical being involved in the question, both Kant and Leibniz are in agreement. However, for Leibniz, who didn't clarify the being of beings theoretically, the actual was constrained to be whatever was already the best (highest good), while for Kant, the actual had nothing to do with the good, but rather it was the moral demands placed on us that first allow us to think to the problematic in a determinate way. Kant shows how a system like Leibniz' can first be thought up, which first grounds it critically. I will leave off the fruitful comparison between Kant and Leibniz here.

Thursday, December 20, 2012

Understanding the Question, "Why is there something rather than nothing?", Part I: Leibniz

I have been struggling with finding access, by my own means, to the question Heidegger poses in Introduction to Metaphysicsthrough the history of Philosophy. The question is not an innovation of Heidegger's, but is asked, and often answered, in the history of Philosophy.
Leibniz answers the question in what Heidegger calls the Twenty-four Statements, since, he says, there ought to be a ground for the fact that there is something. For Leibniz, it seems for there to be something requires the possibility of bringing possibilities into actuality. Since there are actual things, it is necessary that these possibilities are brought into actuality, and that whatever is the cause (the 'real ground') of this stepping into reality (coming into existence) is also the necessary ground of the fact of actualities. Of course, this ground is none other than God.
Here is an illustration of Leibniz's work here in terms of the elements involved: 1) the actual that is, and which is known; 2) the demand that we account for the actual's being instead of nothing; 3) the possible from which the actual steps into existence; 4) that which is necessary in the face of the fact that the possible does step into existence.
Any of the actual things could just as well have been nothing, and, for Leibniz, many of possibilities did not come to pass. Coming to pass is determined by God on the basis of the most good. (Goodness now is understood in a way mediated first by the fact that something is rather than not, and should be understood in terms of existence, and not our preference.) For something to not come into existence is for it to have contradicted whatever did come to pass, and also not being as good as what did come to pass.
(I must mention, in defense of Leibniz, that it seems highly important to see the choice to place goodness at the root of the decision of what should be is not arbitrary. The highest order decision about what is actual should align with the highest knowledge of it, and so should be knowledge of what is best, and ultimately good. Here, goodness should not be considered in terms of morally good, since it seems ethics is determined by Leibniz at the end of the Twenty-four Statements in terms of coming to understand the goodness of the world, and to situate our minds to not be at odds with the goodness of existence by expecting things out of it that we should not. This means that the way things are opposed to our desires should have a regulative impact on us so that we come to understand the world better and change ourselves to not be at odds with it.)
So something is, in which case it is the most good, or something is not, which is to say it contradicts the good or is less good. What does nothing mean here? Nothing is not the contradictory, or the less good, since these are still possibilities. Nothing must be understood as something else. Things have less reality if they are less likely to come into existence, and so nothing would seem to be a privation, in some degree, of goodness. So nothing here is not a mere not being actual but a privation. If this is the case, then when we look out and see that there are actual things, we can't suppose that it could have been nothing, since nothing is just privation of what is. This may give us some right to understand nothing is another sense, that is, whatever is not actual is nothing.
The dual notion of nothing we have is first, nothing as privation of goodness or contradiction with what is good, and second, nothing as not being actualized. It appears that the second approach to nothing dominates the question Leibniz answers of why there is something rather than nothing. Because he is focused on the second sense of nothing, he can see the actual in opposition to its alternative, and not just different in degree. The dividing line between something and nothing, then, is determined on the basis of there being goodness (which is our highest way of thinking the best and so the highest kind of knowledge we tend towards). But this goodness is decided on the basis of what simply is (which could have still been anything). This establishes a kind of circle that is driven by the pursuit of the highest kind of knowledge for us.
Looking at the four-fold division above, then we can note that (2) the demand that we determine the question is driven by the demand to know the highest, and so the direction of (4) how we determine what is necessary is established in this practical manner (rather than upon an analysis of the 'objectivity of the object', which is an alternative approach).