Combining Texts

All the ideas for 'works', 'Quantification and Descriptions' and 'Grundlagen (Foundations of Theory of Manifolds)'

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5 ideas

2. Reason / D. Definition / 7. Contextual Definition

18776

Contextual definitions eliminate descriptions from contexts [Linsky,B]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

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

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions

18774

Definite descriptions, unlike proper names, have a logical structure [Linsky,B]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]