Combining Texts

All the ideas for 'fragments/reports', 'What Numbers Are' and 'Philosophy and Politics'

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8 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]

24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy

23169

Democratic institutions become impossible in a fanatical democracy [Russell]

24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics

23170

Liberal opinions are tentative rather than dogmatic, and are always responsive to new evidence [Russell]

23172

Empiricist Liberalism is the only view for someone who favours scientific evidence and happiness [Russell]

23171

Empiricism is ethically superior, because dogmatism favours persecution and hatred [Russell]

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]