Kant, Intuition and Direction of Fit

Nothing teaches better than teaching.  I’ve been trying to ease (!) my Intro students into Kant’s Prolegomena.  In the last class, we talked about directions of fit, world-to-mind and mind-to-world.  It had never struck me (clearly) that Kant’s story about intuition makes it the case that pure intuition enjoys one direction of fit, world-to-mind, while empirical intuition enjoys another direction of fit, mind-to-world*.  I suppose that is or ought to have been obvious to me, but it didn’t seem to be.  I may have missed it (if we need an explanation other than my not being overly bright or my being careless) because I had gotten so focused on the distinction between spontaneity and receptivity, and the differences in their respective directions of fit, and in thinking of the categories as spontaneous and intuition as receptive, that it hadn’t occurred to me that intuition could itself embody both directions of fit.

I guess we could say that intuition itself has a spontaneity (call it “anticipation”) and a receptivity.  Its having a spontaneity is what makes pure mathematics possible (since pure mathematics constitutionally involves the spontaneity of intuition).  –The Copernican revolution reaches all the way into intuition.  Huh.  It seems I had thought of it as reaching only into judgment, categorically.  I mean, of course I knew that intuition was both pure and empirical, but I did not (fully) see that as already thematizing the synergy of spontaneity and receptivity.  –Duh.

*I’ve edited the terminology here from the initial post.  I had reversed the use of the standard terms.  Apologies.

Draft of MMP Talk

Here is a draft of a talk I am to give soon.  I was asked to present something that might inspire majors and non-majors, and to do something more like what I would do in a class than what I would do giving a conference paper.  This is the result so far.  It is a  formalization of the sort of thing I might do in an upper-level class.  Since I think of it as a talk and not a paper, it is not bedecked with all the scholarly niceties–footnotes or full footnotes, etc.  Most of the footnotes are really just drawers in which I have stashed useful quotations or (I hope) brief, helpful clarifications.  Comments welcome.

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