Introduction to Mathematical Philosophy

By Bertrand Russell

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Episodes: 19

Description

In Introduction to Mathematical Philosophy, Bertrand Russell penned a profound exploration while imprisoned for his anti-war activism during World War I. This work delves into the groundbreaking contributions of late nineteenth-century mathematicians and presents Russells own philosophy of mathematics known as Logicism, which posits that all mathematical truths are ultimately logical truths. He reflects on his earlier significant achievements in addressing the paradoxes that challenged the foundations of mathematics, culminating in the renowned three-volume Principia Mathematica, co-authored with Alfred North Whitehead. Russell underscores the necessity of a doctrine of types, the validity of Logicism, and the clarity that logical analysis brings to the philosophy of mathematics. (summary by Landon D. C. Elkind)

Episode Date
019 - Mathematics and Logic
Feb 09, 2026
018 - Classes
Feb 09, 2026
017 - Descriptions
Feb 09, 2026
016 - Propositional Functions
Feb 09, 2026
015 - Incompatibility and the Theory of Deduction
Feb 09, 2026
014 - The Axiom of Infinity and Logical Types
Feb 09, 2026
013 - Selections and the Multiplicative Axiom
Feb 09, 2026
012 - Limits and Continuity of Functions
Feb 09, 2026
011 - Limits and Continuity
Feb 09, 2026
010 - Infintie Series of Ordinals
Feb 09, 2026
009 - Infinite Cardinal Numbers
Feb 09, 2026
008 - Rational Real and Complex Numbers
Feb 09, 2026
007 - Similarity of Relations
Feb 09, 2026
006 - Kinds of Relations
Feb 09, 2026
005 - The Definition of Order
Feb 09, 2026
004 - Finitude and Mathematical Induction
Feb 09, 2026
003 - Definition of Number
Feb 09, 2026
002 - The Series of Natural Numbers
Feb 09, 2026
001 - Preface
Feb 09, 2026