Combining Texts

All the ideas for 'On Being (frags)', 'Letters to Russell' and 'Metaphysics: a very short introduction'

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7 ideas

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

18253

I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]

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

18166

The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

18269

Logical objects are extensions of concepts, or ranges of values of functions [Frege]

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]