Introduction to Mathematical Philosophy


Read by Landon D. C. Elkind

(4.5 stars; 7 reviews)

Bertrand Russell wrote 'Introduction to Mathematical Philosophy' while imprisoned for protesting Britain's involvement in World War I. Russell summarizes the significance of the momentous work of mathematicians in the late nineteenth-century. He further describes his own philosophy of mathematics, Logicism (the view that all mathematical truths are logical truths), and his earlier, influential work solving the paradoxes that plagued mathematical foundations, which crystallized after ten years of dogged effort into the co-authored (with Alfred North Whitehead), three-volume 'Principia Mathematica'. Russell emphasizes the importance of a doctrine of types, the truth of Logicism, and the clarity brought to the philosophy of mathematics by the method of logical analysis. (summary by Landon D. C. Elkind) (8 hr 44 min)

Chapters

Preface 3:43 Read by Landon D. C. Elkind
The Series of Natural Numbers 22:44 Read by Landon D. C. Elkind
Definition of Number 21:54 Read by Landon D. C. Elkind
Finitude and Mathematical Induction 20:56 Read by Landon D. C. Elkind
The Definition of Order 32:34 Read by Landon D. C. Elkind
Kinds of Relations 23:38 Read by Landon D. C. Elkind
Similarity of Relations 24:57 Read by Landon D. C. Elkind
Rational, Real, and Complex Numbers 40:30 Read by Landon D. C. Elkind
Infinite Cardinal Numbers 31:47 Read by Landon D. C. Elkind
Infintie Series of Ordinals 18:53 Read by Landon D. C. Elkind
Limits and Continuity 23:30 Read by Landon D. C. Elkind
Limits and Continuity of Functions 26:46 Read by Landon D. C. Elkind
Selections and the Multiplicative Axiom 39:07 Read by Landon D. C. Elkind
The Axiom of Infinity and Logical Types 33:29 Read by Landon D. C. Elkind
Incompatibility and the Theory of Deduction 29:41 Read by Landon D. C. Elkind
Propositional Functions 31:23 Read by Landon D. C. Elkind
Descriptions 35:00 Read by Landon D. C. Elkind
Classes 32:57 Read by Landon D. C. Elkind
Mathematics and Logic 31:30 Read by Landon D. C. Elkind

Reviews

(4 stars)

Solid reading, found it a bit hard to follow along I am guessing it had to do with the material. It became an exercise in my attention and concentration to not allow myself to become distracted. I am sure this would be very interesting if Bertrand Russell was giving the lecture himself with a board to write out the examples, but it was difficult for me to follow along and visualize all of the various equations and figures even though they were quite elementary, probably because I wasn't sitting doing nothing, but rather doing things that required some of my attention.

Great insite of mathematics

(5 stars)

Makes you appreciate how important mathematics is and teaches you how to think logically