On G.F.W. Hegel's The Science of Logic (1812–1816), §1–§129 (i.e., the two prefaces and the introduction), plus The Encyclopaedia Logic (1817) §1–§25, which is supposed to dumb it down more so we can understand what's going on. "Logic" for Hegel isn't about symbolic logic; it's about how thought interacts with the world. In short, our thoughts about fundamental metaphysical Continue Reading …
Ep. 134: Hegel on Thought & World (or “Logic”) (Citizen Edition)
On G.F.W. Hegel's The Science of Logic (1812–1816), §1–§129 (i.e., the two prefaces and the introduction), plus The Encyclopaedia Logic (1817) §1–§25, which is supposed to dumb it down more so we can understand what's going on. "Logic" for Hegel isn't about symbolic logic; it's about how thought interacts with the world. In short, our thoughts about fundamental metaphysical Continue Reading …
From Technologist to Humanist: Google’s “In-House” Philosopher
I had been thinking about the PEL debate on the value of higher education, and came across this compelling story by Damon Horowitz. Did you know that Google has an "in-house philosopher"? Horowitz shares his personal story of self-transformation in this article for the Chronicle of Higher Education. With a background in software engineering, he had developed a career in the Continue Reading …
Bertrand Russell’s Very Short Introduction to His Ontology
Watch in YouTube For those who can't get enough Bertrand Russell, here's an introduction to logical analysis from his History of Western Philosophy. In this concluding chapter, Russell explains his own philosophy, as inspired by Frege, so even critics of Russell-as-historian shouldn't object. I was particularly taken with Russell's ontology, via Einstein. Russell succinctly Continue Reading …
Topic for #38: Russell on Math and Logic
What is a number? Is it some Platonic entity floating outside of space and time that we somehow come into communion with? We'll be following up our foray into analytical philosophy with Frege with some Bertrand Russell: specifically his Introduction to Mathematical Philosophy (1919), which is the much shortened, non-technical version of his famous Principia Mathematica(written Continue Reading …
Yet More on Logic: Quantification
Against both my better judgment and the hue and cry of many, I will continue my semi-informed-by-past-years-of-studying "exposition" of predicate logic which I started here. If I accomplish nothing else, I will give Burl something to complain about for the next week or so. In the previous installment, we talked about how syllogistic statements about "all x's" assert the Continue Reading …
Logicomix!
In the recent Frege episode, Mark related the famous anecdote of how Bertrand Russell, the man who "discovered" Frege, later confounded him by pointing out a paradox apparent within his logical system. As Wes recounted, Russell's own attempt to ground mathematics in logic was also later frustrated by a young Kurt Gödel, whose early incompleteness theorems crippled the central Continue Reading …
Logic: A Quick Remedial Lesson
Episode 34: Frege on the Logic of Language (Citizens Only)
Discussing Gottlob Frege's "Sense and Reference," "Concept and Object" (both from 1892) and "The Thought" (1918). What is it about sentences that make them true or false? Frege, the father of analytic philosophy who invented modern symbolic logic, attempted to codify language in a way that would make this obvious, which would ground mathematics and science. Applying his Continue Reading …
PREVIEW-Episode 34: Frege on the Logic of Language
This is a 33-minute preview of a 1 hr, 48-minute episode.Buy Now Purchase this episode for $2.99. Or become a PEL Citizen for $5 a month, and get access to this and all other paywalled episodes, including 68 back catalogue episodes; exclusive Part 2's for episodes published after September, 2020; and our after-show Nightcap, where the guys respond to listener email and chat Continue Reading …
Topic for #34: Frege on Language, Truth, and Logic
What is it about sentences that expresses truth or falsity? Gottlob Frege is considered one of the fathers of analytic philosophy, but it's hard for someone with a general interest in philosophy to see much of his work as overtly philosophical. He did a lot of the work inventing modern symbolic logic, with an eye to providing a logical foundation for mathematics. But in doing Continue Reading …
Episode 8: Wittgenstein’s Tractatus (and Carnap): What Can We Legitimately Talk About?
Continuing last ep's discussion of Wittgenstein’s Tractatus Logico-Philosophicus with some Rudolph Carnap (a logical positivist from the Vienna Circle: “The Rejection of Metaphysics” from his 1935 book Philosophy and Logical Syntax) about what kind of crazy talk is outside of legitimate discourse. Carnap interprets W as simply ruling out as unscientific most of the talk we'd Continue Reading …