Combining Texts

All the ideas for 'Syntagma', 'The Same F' and 'Grundlagen (Foundations of Theory of Manifolds)'

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7 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]

8. Modes of Existence / B. Properties / 8. Properties as Modes

16730

If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi]

9. Objects / F. Identity among Objects / 3. Relative Identity

12155

Statements of 'relative identity' are really statements of resemblance [Perry]

14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction

16619

We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism

16593

Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi]

16729

How do mere atoms produce qualities like colour, flavour and odour? [Gassendi]