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A group blog discussing philosophical ideas as well as the profession of philosophy
Browsing All posts tagged under »philosophy of mathematics«
The Further Adventures of Hero and Hera.
Those familiar with the neo-logicism literature, may also be familiar with the characters Hero and Hera. Hero was introduced by Crispin Wright in the late `90s, and the story Hero and his sister Hera was fleshed out by Philip Ebert and Marcus Rossberg in 2007*. In that paper, we learn that Hero and Hera both […]
Goldilocks, Bad Company and some Slippery Fish
February 28, 2017 by Aaron Thomas-Bolduc
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No this isn’t a terrible (amazing?) fairy tale. And no, the title isn’t (just) badly thought out clickbait. The Bad Company problem, the Goldilocks problem and the Problem of Fishiness are all problems I’m writing about in my dissertation. More specifically, the overarching idea is to look at ways of solving the Bad Company problem. […]
Call for Applications: Summer School on Mathematical Philosophy for Female Students
December 23, 2016 by Aaron Thomas-Bolduc
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I was reminded by Alison’s post yesterday, that the Munich Center for Mathematical Philosophy (MCMP) has recently put out their call for applications for their summer school for women. It is the fourth iteration of this summer school, and this year’s lecturers are a veritable who’s who of mathematical philosophy. Applications are due March 5th, […]
Grinworthy Quotes (10)
November 5, 2015 by Aaron Thomas-Bolduc
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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 Aaron Thomas-Bolduc
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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 The following quote is at the very beginning of Paul Benacerraf’s unpublished PhD dissertation (Princeton, 1960) which I’m reading as part of my dissertation research.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 (8)
June 5, 2015 by Aaron Thomas-Bolduc
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Here is another quote from John Burgess, this time from his book Fixing Frege (Princeton University Press: 2005). Anyone who reads logic/mathematics/philosophy of mathematics will have come across the phenomenon he’s talking about. Now it is a common mathematical practice, called “abuse of language,” to omit to distinguish notationally between items that are distinct notionally, […]
Hashtag_Octothorpe
April 26, 2015 by Aaron Thomas-Bolduc
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A while back I was reading a paper by Bob Hale and Crispin Wright, first published in 2000 [1], in which they use the symbol “#” to denote an arbitrary matrix sentence. That was over half a decade before twitter went live. That symbol, variously known as the hash sign/symbol, the number sign, or octothorpe […]
Books by Contributors
September 27, 2017 by Aaron Thomas-Bolduc
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