Combining Texts

All the ideas for 'Reply to Professor Marcus', 'Metaphysics: a very short introduction' and 'The Architecture of Mathematics'

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6 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

10801

Either reference really matters, or we don't need to replace it with substitutions [Quine]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190

From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

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]