A group blog discussing philosophical ideas as well as the profession of philosophy

*November 5, 2015*
by *Aaron Thomas-Bolduc*

Comments Off on Grinworthy Quotes (10)

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 […]

*October 8, 2015*
by *Aaron Thomas-Bolduc*

Comments Off on Grinworthy Quotes (9)

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 The following quote is at the very beginning of Paul Benacerraf’s unpublished PhD dissertation (Princeton, 1960) which I’m reading as part of my dissertation research.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. […]

*June 5, 2015*
by *Aaron Thomas-Bolduc*

Comments Off on Grinworthy Quotes (8)

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, […]

*April 26, 2015*
by *Aaron Thomas-Bolduc*

Comments Off on Hashtag_Octothorpe

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 […]

*March 14, 2015*
by *Aaron Thomas-Bolduc*

Comments Off on Grinworthy Quotes (7)

Here is John Burgess’s amusing description of Quine’s view of mathematical ontology as motivated by the indispensability argument, from “Mathematics and the Bleak House” (Phil. Math. 12, 2004). Quine…urged a very different sort of reason for accepting the existence of numbers (or other abstract mathematical entities to which numbers could be “reduced”). According to Quine, […]

June 11, 2016byAaron Thomas-BolducComments Off on Is the Universe Part of the World?