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Descartes And Our Philosophies, Juan Carlos Moreno Romo
Descartes And Our Philosophies, Juan Carlos Moreno Romo
Western Ontario Early Modern Philosophy (WOEMP) Online Events
We propose to show that, although we think of Descartes as a "modern Parmenides" or as the "father of Modernity", otherwise for excellent reasons, this condition is at least as ambiguous as different are the cultures or societies that arose from the breakdown of Christianity. Where the Protestant Reformation triumphed, the dominant conception of philosophy is manifestly anticartesian, although they recognize, curiously, a debt to Cartesian philosophy; for example, we recognize this due in Wittgenstein and Heidegger. Neither empiricist nor rationalist, neither analytical nor continental, nor national or identitarian either, more than a "French", "European" or "Western" philosopher, Descartes would …
Cognition Without Construction: Kant, Maimon, And The Transcendental Philosophy Of Mathematics, Nicholas A. J. Birmingham
Cognition Without Construction: Kant, Maimon, And The Transcendental Philosophy Of Mathematics, Nicholas A. J. Birmingham
Electronic Thesis and Dissertation Repository
In the Critique of Pure Reason, Immanuel Kant takes the ostensive constructions characteristic of Euclidean-style demonstrations to be the paradigm of both mathematical proofs and synthetic a priori cognition in general. However, the development of calculus included a number of techniques for representing infinite series of sums or differences, which could not be represented with the direct geometrical demonstrations of the past. Salomon Maimon’s Essay on Transcendental Philosophy addresses precisely this disparity. Maimon, owing much to G. W. Leibniz, proposes that differentials of sensation achieve what Kantian constructions could not. More importantly, Maimon develops a kind of symbolic cognition that …