Combining Texts

All the ideas for 'fragments/reports', 'What Numbers Are' and 'What is Knowledge-First Epistemology?'

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7 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 / A. Justification Problems / 1. Justification / a. Justification issues

19540

Don't confuse justified belief with justified believers [Dougherty/Rysiew]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification

19539

If knowledge is unanalysable, that makes justification more important [Dougherty/Rysiew]

19. Language / C. Assigning Meanings / 2. Semantics

19538

Entailment is modelled in formal semantics as set inclusion (where 'mammals' contains 'cats') [Dougherty/Rysiew]

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]