Combining Texts

All the ideas for 'fragments/reports', 'What Numbers Are' and 'Philosophical Essay on Probability'

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6 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

13. Knowledge Criteria / C. External Justification / 7. Testimony

7458	The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking]

16. Persons / F. Free Will / 6. Determinism / a. Determinism

3441	If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace]

26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature

1748	Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]

27. Natural Reality / G. Biology / 3. Evolution

5989	Archelaus said life began in a primeval slime [Archelaus, by Schofield]