Single Idea 15946

[catalogued under 4. Formal Logic / F. Set Theory ST / 1. Set Theory]

Full Idea

Cantor's development of set theory began with his discovery of the progression 0, 1, ....∞, ∞+1, ∞+2, ..∞x2, ∞x3, ...∞^2, ..∞^3, ...∞^∞, ...∞^∞^∞.....

Gist of Idea

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation

Source

report of George Cantor (Grundlagen (Foundations of Theory of Manifolds) [1883]) by Shaughan Lavine - Understanding the Infinite VIII.2

Book Reference

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.247

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