Browsing All posts tagged under »History of Philosophy«

It’s a Small World: The Leśniewski-Sobociński Theorem.

February 21, 2018 by

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The other day I was reading M. Resnik’s Frege and the Philosophy of Mathematics (1980). In discussing `Frege’s way out’, he mentions a proof by Leśniewski showing that Frege’s attempted fix to the system of the Grundgesetze is inconsistent, but gives a reference to a paper published by Sobociński in 1949. This intrigued me, as […]

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 (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 […]

Grinworthy Quotes (9)

October 8, 2015 by

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I know it’s been a while since I’ve posted one of these — I’ve been reading some fairly dry material recently. The following quote is at the very beginning of Paul Benacerraf’s unpublished PhD dissertation (Princeton, 1960) which I’m reading as part of my dissertation research. The quote is attributed to an unnamed undergraduate student. […]

Grinworthy Quotes (6)

January 27, 2015 by

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Here is Pope Pius II (Aeneas Sylvius Piccolomini) reporting, in his Commentaries, the response of (then Cardinal) Nicolas of Cusa to Pius unilaterally appointing cardinals (quoted in Watanabe, Concord and Reform, Ashgate, 2001, p. 10): The Cardinal of St. Peter (Cusanus)…Finally answered as follows: “…Now you ignore the ordinance of the synod and do ask […]

Peirce, Reid and Kant

October 1, 2014 by

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It is known that C.S. Peirce had a Kantian bent. By his own description he had “devoted two hours a day to the study of Kant’s Critic of the Pure Reason for more than three years, until [he] almost knew the whole book by heart, and had critically examined every section of it.” However, in […]