Combining Texts

All the ideas for 'Metaphysics: a very short introduction', 'Reals by Abstraction' and 'Presidential Address of Am. Math. Soc'

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6 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

10247

We have no adequate logic at the moment, so mathematicians must create one [Veblen]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

10632

The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]

9. Objects / B. Unity of Objects / 2. Substance / a. Substance

18617

Substances, unlike aggregates, can survive a change of parts [Mumford]

10. Modality / B. Possibility / 3. Combinatorial possibility

18618

Maybe possibilities are recombinations of the existing elements of reality [Mumford]

18619

Combinatorial possibility has to allow all elements to be combinable, which seems unlikely [Mumford]

18620

Combinatorial possibility relies on what actually exists (even over time), but there could be more [Mumford]