Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Counterfactuals' and 'Counting and the Natural Numbers'

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8 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

9390	Logic guides thinking, but it isn't a substitute for it [Rumfitt]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

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

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

9389	Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]

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]

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]