Combining Texts

All the ideas for 'Philosophical Explanations', 'What Numbers Are' and 'Counterfactuals'

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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]

10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals

14361

Lewis says indicative conditionals are truth-functional [Lewis, by Jackson]

10. Modality / B. Possibility / 9. Counterfactuals

8434	In good counterfactuals the consequent holds in world like ours except that the antecedent is true [Lewis, by Horwich]

11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs

3570	Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]

13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts

2748	A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]

26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory

9419	A law of nature is a general axiom of the deductive system that is best for simplicity and strength [Lewis]