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Categories
Category Archives: Logic
Book Review: Square One
Square One: The Foundations of Knowledge by Steve Patterson The first of a series of planned philosophy books by Steve Patterson, who runs the Patterson in Pursuit podcast that I listen to, Square One is about the ultimate grounding of … Continue reading
Posted in Logic, Rationality, Reviews
Book Review: Approaching Infinity
Approaching Infinity by Michael Huemer “Infinity” is a concept that, if you’re not careful, can really bite you in the ass. In his latest book, Approaching Infinity, the philosopher Michael Huemer attempts to sharpen our idea of infinity to address … Continue reading
Posted in Logic, Mathematics, Reviews
From a contradiction you can prove anything
Premise: 0. P ∧ P’ Theorem 1. P (simplification from 0) 2. P’ (simplification from 0) 3. P ∨ M (addition from 1) 4. M (disjunctive syllogism from 2 and 3) Q.E.D. Or in words: P and not P are … Continue reading
Posted in Logic, Rationality
The reasoning robot, Jaynes’ desiderata, and Cox’s Theorem
I’ve been reading Probability Theory: The Logic of Science by ET Jaynes, and it’s worth sitting down with just for the first two chapters alone. Probabilities are typically introduced as obvious entities in and of themselves, where the chance of something … Continue reading
Posted in Logic, Mathematics, Rationality, Science (general)
Book Review: Gödel, Escher, Bach
Gödel, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter There seems to be a great deal of confusion about what the book GEB is about, as the author alludes in the preface. This is understandable, since there are a … Continue reading
Posted in Biology, Logic, Mathematics, Reviews, Science (general)
Book Review: Logicomix
Logicomix: An Epic Search for Truth by Apostolos Doxiadis et al. Logicomix is a graphic novel about the quest to provide a rigorous, logical foundation for mathematics in the form of a historical narrative. That description alone was suitably leftfield enough for … Continue reading
Posted in Logic, Mathematics, Reviews
Book Review: The Logician and the Engineer
The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age by Paul J. Nahin How well does the mythical average person on the street know about the great scientists and engineers of the past? The … Continue reading
Posted in Electronics, Logic, Mathematics, Physics, Reviews, Technology