Browsing All posts tagged under »Logic«

Frege and Hume at Thanksgiving

October 2, 2018 by

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It’s almost Thanksgiving here in Canada, so here’s a thanksgiving themed post about concepts from Frege and Neo-logicism. In his Grundlagen (1884), Frege proposes that the number that belongs to two concepts is the same just in case the objects falling under those concepts can be correlated one-to-one (i.e. they’re equinumerous). The formalization of that claim is […]

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 […]

The Further Adventures of Hero and Hera.

September 27, 2017 by

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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 […]

Teaching as a Grad Student: Logic End of Semester

May 23, 2017 by

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This is the 5th post in this series, and the third about my experience teaching for the first time (see parts one, and two). As of a couple of weeks ago, I finally managed to submit the final marks for the Logic I course I had been teaching, marking the end of my responsibilities for […]

Teaching as a Grad Student: Guest Lecturing on Logicism

April 26, 2017 by

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I was recently given the opportunity to give a lecture on Frege’s logicism and related topics for our Logic III course (cross-listed as an undergraduate and a graduate course). That class had gotten up to the point of looking at second-order Peano Arithmetic, which is a natural jumping off point for looking at the logic […]

Teaching as a Grad Student: Logic mid-Semester

March 13, 2017 by

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This is the third installment of our occasional series: Teaching as a Grad Student. In the first installment, I discussed preparing to teach for the first time, as well as my first couple of weeks teaching logic. In the second installment, Alison discussed her experiences teaching philosophy of science. We’re just past the half-way point […]

Goldilocks, Bad Company and some Slippery Fish

February 28, 2017 by

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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. […]

Teaching as a Grad Student: Logic Week One

January 22, 2017 by

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I have just started teaching my first course as instructor of record (i.e. I’m lecturing, not TAing), and I thought that this would be a good opportunity to start an occasional series on teaching as a graduate student. What follows are my thoughts after finishing my first (and now second) week of teaching. I plan […]

More About Forallx: Calgary Remix

January 18, 2017 by

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The Winter 2017 edition of Forallx: Calgary remix has been out for a few weeks. Indeed, I’ve started teaching from it. Richard Zach has blogged about our progress here. Later this week I’ll be posting about my experience getting ready to teach “Logic I” for the first time, so stay tuned!   (Photo credit: Richard […]

Call for Applications: Summer School on Mathematical Philosophy for Female Students

December 23, 2016 by

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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, […]

An Open Source Logic Text

October 18, 2016 by

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The Open Logic Project, initiated by my supervisor, Richard Zach, is a project to produce a comprehensive free and open source intermediate logic text. More recently, Richard and I have been putting together a Calgary remix of forallx, a free and open source text for introductory logic, originally written by PD Magnus. Below is the […]

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 […]

Is the Universe Part of the World?

June 11, 2016 by

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First let me head off the suspicion that I’ll be discussing some sort of weird idealist/massively subjectivist/etc metaphysics. I’m concerned with ‘world’ and ‘universe’ as they’re used by analytic metaphysicians, logicians, and philosophers of mathematics. In particular I’m concerned about the cardinalities of the domains of discourse assumed by some philosophers when dealing with, in […]

This Blog Post Is False…and True (or, Is a Denial of the Law of Noncontradiction Self-Refuting?)

March 7, 2016 by

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There is a straightforward objection to any denial of the law of noncontradiction: A denial of the law of noncontradiction is self-refuting because one must presuppose the truth of the law of noncontradiction in order to deny it. That is, to deny the law of noncontradiction is to allow that it is both true and […]

CfP: Graduate Conference on Logic and Language at UoC

November 17, 2015 by

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5th Annual Graduate Conference: Logic & Language Department of Philosophy University of Calgary May 27–28, 2016 The theme of the 2016 University of Calgary Graduate Philosophy Conference will be Logic and Language. Topics at the intersection of philosophy of language and (philosophy of) logic have a long and fruitful history, and continue to be at […]

Deflationism, Conservativity, Truth.

October 19, 2014 by

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Over the summer I spent a lot of time learning about truth, and particularly deflationary theories of truth. In this post I will outline some of my thoughts about one particular criterion that is often argued for (and against) by various players in the recent literature on deflationism about truth: conservativity. The plan is to […]

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