Combining Texts

All the ideas for 'Dthat', 'On the Cosmos (lost)' and 'Letters to Russell'

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11 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 / 1. Unifying an Object / a. Intrinsic unification

472	No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus]

19. Language / B. Reference / 3. Direct Reference / b. Causal reference

14080

Are causal descriptions part of the causal theory of reference, or are they just metasemantic? [Kaplan, by Schaffer,J]

26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature

1518	Everything must involve numbers, or it couldn't be thought about or known [Philolaus]

1519	Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus]

473	There is no falsehood in harmony and number, only in irrational things [Philolaus]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited

469	Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus]

26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical

476	Self-created numbers make the universe stable [Philolaus]

27. Natural Reality / E. Cosmology / 1. Cosmology

1787	Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius]