Combining Texts

All the ideas for 'Prologue to Ordinatio', 'Grundlagen (Foundations of Theory of Manifolds)' and 'The Principles of Science'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

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]

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 / C. Sources of Mathematics / 6. Logicism / a. Early logicism

8628	I hold that algebra and number are developments of logic [Jevons]

11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs

9100	Our intellect only assents to what we believe to be true [William of Ockham]

15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind

9101	Abstractive cognition knows universals abstracted from many singulars [William of Ockham]