Kant’s analytic-geometric revolution : ostensive judgment as algebraic time–state relation in the Critique of pure reason

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Kant’s analytic-geometric revolution : ostensive judgment as algebraic time–state relation in the Critique of pure reason

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dc.contributor.advisor Higgins, Kathleen Marie
dc.creator Heftler, Christopher Scott
dc.date.accessioned 2012-02-15T22:34:18Z
dc.date.available 2012-02-15T22:34:18Z
dc.date.created 2011-12
dc.date.issued 2012-02-15
dc.date.submitted December 2011
dc.identifier.uri http://hdl.handle.net/2152/ETD-UT-2011-12-4950
dc.description.abstract In the Critique of Pure Reason, Kant defends the mathematically deterministic world of physics by arguing that its essential features arise necessarily from innate forms of intuition and rules of understanding through combinatory acts of imagination. Knowing is active: it constructs the unity of nature by combining appearances in certain mandatory ways. What is mandated is that sensible awareness provide objects that conform to the structure of ostensive judgment: “This (S) is P.” Sensibility alone provides no such objects, so the imagination compensates by combining passing point-data into “pure” referents for the subject-position, predicate-position, and copula. The result is a cognitive encounter with a generic physical object whose characteristics—magnitude, substance, property, quality, and causality—are abstracted as the Kantian categories. Each characteristic is a product of “sensible synthesis” that has been “determined” by a “function of unity” in judgment. Understanding the possibility of such determination by judgment is the chief difficulty for any rehabilitative reconstruction of Kant’s theory. I will show that Kant conceives of figurative synthesis as an act of line-drawing, and of the functions of unity as rules for attending to this act. The subject-position refers to substance, identified as the objective time-continuum; the predicate-position, to quality, identified as the continuum of property values (constituting the second-order type named by the predicate concept). The upshot is that both positions refer to continuous magnitudes, related so that one (time-value) is the condition of the other (property-value). Kant’s theory of physically constructive grammar is thus equivalent to the analytic-geometric formalism at work in the practice of mathematical physics, which schematizes time and state as lines related by an algebraic formula. Kant theorizes the subject–predicate relation in ostensive judgment as an algebraic time–state function. When aimed towards sensibility, “S is P” functions as the algebraic relation “t → ƒ(t).”
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subject Kant
dc.subject Kant's theory of judgment
dc.subject Kant's theory of synthesis
dc.title Kant’s analytic-geometric revolution : ostensive judgment as algebraic time–state relation in the Critique of pure reason
dc.date.updated 2012-02-15T22:34:30Z
dc.identifier.slug 2152/ETD-UT-2011-12-4950
dc.contributor.committeeMember Seung, Thomas
dc.contributor.committeeMember Martinich, Aloysius
dc.contributor.committeeMember Phillips, Stephen
dc.contributor.committeeMember Cleaver, Harry
dc.description.department Philosophy
dc.type.genre thesis
dc.type.material text
thesis.degree.department Philosophy
thesis.degree.discipline Philosophy
thesis.degree.grantor University of Texas at Austin
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy

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