Browsing All Posts filed under »Grinworthy Quotes«

Grinworthy Quotes (16): Self-promotion Edition

October 8, 2018 by

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I just had a co-authored (with Eamon Darnell) paper that’s based on a chapter of my dissertation (both titled “Is Hume’s Principle Analytic?” — link to preprint of the paper) accepted for publication (yay!). Near the end of the paper, we raise an issue that seems (to me at least) to have been under the surface […]

Grinworthy Quotes (15)

February 16, 2018 by

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Frege on Euclidean geometry and axioms, but also astrology and alchemy. From his Nachlass*. Now the question is whether to strike Euclidean or non-Euclidean geometry from the ranks of science and to put it alongside of Alchemy and Astrology as mummies. Where one only let himself toy with ideas, he need not take things so […]

Grinworthy Quotes 14

January 18, 2018 by

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In discussing the possibility of adopting category theory as a (the) foundations for mathematics, Jean-Pierre Marquis has this to say in his Stanford Encyclopedia article (2015): To use a well-known metaphor: from a categorical point of view, Neurath’s ship has become a spaceship. I hope there is a literature developing about Neurath’s spaceship.

Grinworthy Quotes 13

August 9, 2017 by

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Avicenna and Gentile da Foligno, woodcut (extract), edition of the Canon and its commentary by Gentile da Foligno, Venice 1520. Public domain via Wikipedia Commons     This gem: At Physics II.8, however, Avicenna had undertaken a detailed analysis and critique of the idea of void and found it empty… is on page 19 of Jon […]

Grinworthy Quotes (12)

July 24, 2016 by

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Here’s W. V. O. Quine discussing the fact that Frege didn’t adopt a type theoretic approach (like Russell and Whitehead’s) when faced with Russell’s paradox. Actually, it is not to be wondered that Frege did not think of this course, or, thinking of it, adopt it. It was by having all his classes at ground […]

Grinworthy Quotes (11)

November 16, 2015 by

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Here are the final three sentences of Alberto Coffa’s “Kant, Bolzano, and the Emergence of Logicism” (Journal of Philosophy, 74, 1982, p. 689): When concepts were finally wedded to the word, a priori knowledge turned from true in virtue of concepts to true in virtue of meanings—as Carnap put it—or true ex vi terminorum—as Wilfred […]

Grinworthy Quotes (10)

November 5, 2015 by

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Here’s other amusing line from Paul Benacerraf’s dissertation (Princeton, 1960, p. 182): It was in fact through [Cantor’s] interest in the infinite and in infinite numbers that he developed the theory of sets. The purpose was to make an honest woman of the infinite, a task held by most mathematicians of his time to be […]