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Ideas for 'fragments/reports', 'Intro to Gdel's Theorems' and 'The Principles of Mathematics'

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4 ideas

8. Modes of Existence / A. Relations / 1. Nature of Relations

21341

Philosophers of logic and maths insisted that a vocabulary of relations was essential [Russell, by Heil]

8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation

10586

'Reflexiveness' holds between a term and itself, and cannot be inferred from symmetry and transitiveness [Russell]

8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation

10585

Symmetrical and transitive relations are formally like equality [Russell]

8. Modes of Existence / A. Relations / 4. Formal Relations / c. Ancestral relation

10617

The 'ancestral' of a relation is a new relation which creates a long chain of the original relation [Smith,P]