On Saying What You Really Want to Say: Wittgenstein, Gödel, and the Trisection of the Angle

Parikh and Wittgenstein

“…It sounds as if Turing is making a series of epistemological points, directly continuing the Hilbert finitistic or formalistic tradition, or perhaps broaching a behavioristic theory of cognition and/or perception. 23 This invited the idea of a "language of thought" operating automatically inside the head, as if philosophy of mind and/or our perceptual ability to cognize were central or foundational to his model. This in turn lead to the rather irrelevant criticism that in his modeling of the classical consequence relation by way of an infinite tape Turing was analyzing thought in a way useful only for Martians or cognitive scientists.…”

Meaning and Aesthetic Judgment in Kant

“…(It is this kind of thought that I believe underlies Friedman's [1992,127] claim that mathematical concepts are those such that being able to think them means they are, in fact, instantiated [of course, for Friedman, the in fact is a consequence of a substantial transcendental argument].) But even independently of adopting this view about the role of space in constraining mathematical construction, it might still be argued that we cannot so much as think the Euclidean construction of a pentagon until we know how to perform such a construction; and we can also maintain that in some real sense we cannot so much as think of a (ruler-andcompass) heptagon (see Floyd [1995] for discussion of these themes). But I don't think that Kant had such an idea in mind.…”

‘Around the axis of our real need’: On the Ethical Point of Wittgenstein’s Philosophy

“…Thus, Diamond 1988, Conant 1989and 1991, were written at the end of the decade, and were followed by Diamond 1991, andConant 1993. 14 Floyd 1995Floyd , 1998Floyd , 2000aFloyd , 2000b. 15 Ricketts 1996.…”