Space and time are not pure intuitions in the narrow sense of concrete representations (like mathematical triangles are), they are forms of intuition that enable both them and empirical intuitions. There are no two forms of intuition, the same sensibility is operative in empirical and pure contexts, hence empirical applicability of pure mathematics. And space and time are not categories because they do not operate conceptually, what we can do synthetically in space exceeds conceptual capabilities. As Kant shows with isosceles triangles, pons asinorum does not follow conceptually. –
Conifold
CommentedOct 8, 2024 at 13:15
I can only imagine how easy it would be to misinterpret the technical language used by philosophers by applying the colloquial definitions to them (Sensibility, Understanding, Spirit/Mind/Geist, ). –
Bithov Vinu
CommentedOct 8, 2024 at 13:17
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Excellent question. I've always found that part of Kant's work a little confusing. I can see why they aren't concepts (they aren't abstract) but I don't see how they are intuitions of any kind. –
David Gudeman
CommentedOct 8, 2024 at 13:50
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Why the forms of intuition must be associated with sensibility while the categories are with understanding
The form of intuition, in Aristotelean tradition, has to be understood as opposed to its matter. Kant holds that for us to be able to have an intuition of a particular object, may it be empirical or purely geometrical, it has to be represented in space and time. Only in space and time, these objects of intuition will be objects for us, ie. something our mind can work with.
The categories, in turn, are needed to understand (subsume) these particular objects of intuition under concepts to apprehend them in relation to other objects of intuition, ie. their specifics and thus their being as a thing.
In a way, one could say that sensibility/intuition just presents a this, while understanding enables us to apprehend that mere this as some particular thing with certain properties. Kant later, at the end of the Dialectics, admits that the differentiation between the functions of sensibility and understanding is a bit artificial but it still helps to keep them apart since the functional import is different.
In which way are space and time themselves intuitions?
Space and time do, to the confusion of many a Kant student and scholar, occur in at least three forms in Kant's work:
As forms of intuition
As pure intuitions
As empirical intuitions
In the latter case, it is quite simple: we can experience time and space in daily life. The room you are in is empirical space and the time you need to read these words is experienced. I guess your confusion relates to the first two.
Now, why can we call the forms of intuition "pure intuitions" (since that's how we have to look at this)?
Well, if we concede that space and time are the forms of every intuition, when we do an abstraction from any matter (content) of the intuition, the "pure" (a priori, not empirical) rest that remains are two distinct aspects of any this: space (space-ness) and time (time-ness). They still are "intuition", since what else should they be? while they are not part of the empirical manifold, hence they are two distinct "pure intuitions".
Everything hinges at whether we concede that space and time are necessary forms of intuition. If we do, as often with Kant, it is hard to cop-out at a later stage of the argument.
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edited Oct 8, 2024 at 18:25
answered Oct 8, 2024 at 16:19
Philip Klöcking's user avatar
Philip Klöcking♦
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I believe I understand the point you are making, with regards to why space and time belong to the faculty of sensibility, rather than to understanding or reason. However, I don't think that it cuts to the core of my confusion. My original post was a bit all-over-the-place; the heart of my confusion right now is why space and time are intuitions specifically. I understand the necessity of them being part of the faculty of sensibility. However, in my mind they do not cohere to the definition of intuition (sensory representation of an object). –
Bithov Vinu
CommentedOct 8, 2024 at 17:03
I understand why space and time are a priori, just not why they are intuitions. I understand (thanks to your post) why they belong to the faculty of sensibility. I am just uncertain of the common essence between pure intuitions (space/time) and empirical intuitions. What characteristics/properties do they share, to be classed in the same group?. –
Bithov Vinu
CommentedOct 8, 2024 at 17:06
@BithovVinu Do my additional remarks help to untangle your confusion? –
Philip Klöcking
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CommentedOct 8, 2024 at 17:58
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Another distinction that we must, unfortunately, keep track of here is the difference between terminological and propositional intuition. The former concerns the meanings of individual words or names as particulars, the latter the meanings of whole (particular-minded) sentences.
So Kant does also speak of both forms-of-intuition and something almost identical to your phrase "structural intuition": formal intuition. Space and time as terms are forms of intuition and then are formal intuitions themselves as giving propositional structures which are sufficiently particularized to count as intuitively given. Space and time are pure objects (subjects) but then, especially via the schematism of the imagination, they also are propositionally structuring. Through the structural principles of the axioms of intuition, for example, we get propositions about geometrical representation in particular. (Kant accepted that no abstract proof of the parallel postulate would be forthcoming. His lack of foresight, here, was in still attributing synthetic necessity to that postulate, but had he written in the time after geometers were liberated from dogmatic Euclideanism, we can hope that he would have tried to find room for non-Euclidean considerations to count as intuitive nevertheless. But he at least does supply a natural explanation for the long-standing drive to advance said postulate: it is no wonder that so many people for so long thought it evident enough to be a priori provable if it were a priori intuitive.)
Also, a formal-/form-of-intuition, if a priori, is then not something that we passively experience. It has a static quality which is recognized by transcendental reflection, which reflection is an active exercise of the mind. We cannot see a color just by willing to see it, unless it be in our imagination; and then this is just an arbitrary content of that imagination. But the mathematics of the imagination are isomorphic to those of perception, at least per such possible content. A particular imagining of a particular triangulation yet serves for a code that is interwoven into the possibility of our experience of objects arranged in triangular patterns in empirical space. The scheme of a triangle does the encoding.
In short: Kant's whole system is balanced on the razor's edge of his account of the general/particular distinction. At first glance, he seems to draw this distinction sharply: either something is an intuition, or it's a conception, not both. Yet he will later go on about the schematism of imagination and understanding, as well as offer up the phrases "intellectual intuition" and "intuitive understanding" to characterize such states as are infinitely beyond human attainment.∞ Even when he situates intuitions and conceptions in a graduated list of such notions, he ends up saying that notions themselves are a precisification on that list, with "representation" at the head of the whole list. But he then says that notions coalesce into ideas of pure reason, and the ultimate idea, the transcendental prototype of reality, is supposed to be a particular representation, but not an intuition for us.
It's not quite that there's an inconsistency or incompleteness in the Kantian definition of the intuition/conception distinction. Or rather, such a gap as there is plagues all such philosophy, for even in the modern world we haven't resolved the duality of intensionality and extensionality.
∞To go back to the first point: not only is the distinction between intuition and understanding effaced, but the distinction between understanding and reason also. Yet for us things still bifurcate: intellectual intuition and intuitive understanding map indeterminately to the distinction between lexical and sentential intuition. We represent the ens realissimum as intuiting things "by name" as well as per their encompassing "syntactic" order, of situating those divine names in a system of deontic teleology.
To make things worse for you, then, I will bring up the matter of how Kant will say in the second Critique that we have a synthetic but non-intuitive recognition of the fundamental fact of pure practical reason, which is accompanied by something he calls "the type of the law," a "schema of laws (of reason)," which is again a seemingly particular enough representation after all.
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edited Oct 8, 2024 at 15:19
answered Oct 8, 2024 at 13:59
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OP: "It does not, however, make sense to me why pure intuitions are a form of intuition. If space and time are applied to intuitions for structure, why are they themselves a form of intuition? Why are they not categories that allow for the coherence and structure of knowledge?"
Heidegger's interpretation of Kant identifies the intuition of time as part of the self, not separate or incidental (as affecting).
Time as pure self-affection is that finite, pure intuition which sustains and makes possible the pure concept (the understanding) as that which is essentially at the service of intuition.
Hence, it is not in the second edition that Kant first introduces the idea of pure self-affection, which last, as has now become clear, determines the innermost essence of transcendence. It is simply that the idea is formulated more explicitly in this edition and, characteristically enough, appears [at the beginning of the work] in the transcendental aesthetic.87 To be sure, this passage must remain obscure as long as the interpretation lacks that perspective assured by the more primordial comprehension of the laying of the foundation of metaphysics made possible by the preceding presentation of the stages of this foundation. But given this perspective, the passage is almost "self-evident."
"Now that which, as representation, can be antecedent to any and every act of thinking anything, is intuition; and if it contains nothing but relations, it is the form of intuition. Since this form does not represent anything save insofar as something is posited in the mind, it can be nothing but the mode in which the mind is affected through its own activity (namely, through this positing of [their] representation), and so is affected by itself; in other words, it is nothing but an inner sense in respect of the form of that sense." 88
"Sense" means "finite intuition." The form of sense, therefore, is pure receptivity. The internal sense does not receive "from without" but from the self. In pure receptivity, internal affection must arise from the pure self, i.e., be formed in the essence of selfhood as such, and therefore must constitute the latter. Pure self-affection provides the transcendental ground-structure [Urstruktur] of the finite self as such. Therefore, it is absolutely untrue that the mind exists in such a way that, among other beings, it relates certain things to itself and in so doing posits itself [Selbstsetzungen ausübt]. Rather, this line of orientation from the self toward . . . and back to [the self] first constitutes the mental character of the mind as a finite self.
It is at once obvious, therefore, that time as pure self-affection is not found "in the mind" "beside" pure apperception. On the contrary, as the basis of the possibility of selfhood, time is already included in pure apperception and first enables the mind to be what it is.
The pure finite self has in itself a temporal character. Therefore, if the ego, i.e., pure reason, is essentially temporal, the fundamental determination which Kant provides for transcendental apperception must first become intelligible through this temporal character.
Time and the "I think" are no longer opposed to one another as unlike and incompatible; they are the same. Thanks to the radicalism with which, in the laying of the foundation of metaphysics, Kant for the first time subjected time and the "I think," each taken separately, to a transcendental interpretation, he succeeded in bringing them together in their primordial identity — without, to be sure, having seen this identity expressly as such. Kantbuch 195-7
Pure sensibility (time) and pure reason are not only homogeneous, they belong together in the unity of the same essence which makes possible the finitude of human subjectivity in its totality. Ibid. 201
Space does not seem to be an equal intuition to time in Heidegger's scheme. The fundamental is Being-in-the-world in which time is bound up with being (and reason), then space is discovered. Curious because being-in-the-world implies some spaciality.
Only on the basis of its ecstatico-horizonal temporality is it possible for Dasein to break into space. The world is not present-at-hand in space; yet only within a world does space let itself be discovered. Being & Time 421
It's probably prudent to mention how Heidegger sees ordinary, clock-time. This is distinct from the temporality of the self.
The measurement of time gives it a marked public character, so that only in this way does what we generally call 'the time' become well known. ... That time 'wherein' entities within-the-world are encountered, we know as "world-time". By reason of the ecstatico-horizonal constitution of the temporality which belongs to it, this has the same transcendence as the world itself. Ibid. 471
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edited Oct 9, 2024 at 10:53
answered Oct 8, 2024 at 15:09
Chris Degnen's user avatar
Chris Degnen
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First, I want to clarify a few concepts: an intuition is a singular, immediate and sensible representation (=any content that may be present to consciousness): in other words, we can define it as a many-in-one structured representational consciousness in which manifolds of appearances are originally apprehended. Kant will argue that any intuition, in beings constituted like us, is sensible (as opposed to intellectual), and can be classified in two types: pure (a priori) and empirical (a posteriori). If an intuition involves the consciousness of particular sensations (that occur when something external affects the mind), then it counts as empirical, and it gives us an indeterminate object (appearance); while if it involves the presence of sensations but no consciousness of particular sensational contents, then it is a priori, or pure. Kant will argue that, for us, these pure intuitions are space and time.
So, let's go back a bit: remember that empirical intuitions give us appearances (indeterminate objects)? These appearances have a twofold composition: they have both a matter (the physical realities indicated by sensation) and a form (space and time). This is what Kant means when he says that space and time are forms of appearances: space and time cognitively determine the matter of appearances according to certain relations. In other words, we don't apply the forms of space and time to empirical intuitions: rather, space and time are a condition of possibility for us to have any intuition/appearance.
Moreover, Kant will also argue that space and time are not only forms of appearances, but are themselves (pure) intuitions, because they are also given as indeterminate (and infinite, he will argue) objects; but they count as pure because they don't involve consciousness of any particular sensational content, like I said above. Therefore, they meet all the criteria to be classified as intuitions: singularity, since they are essentially one, and contain all other spaces and times within them, as individuals; immediacy, since they are not mediated by concepts; and presence of sensations.