Combining Texts

All the ideas for 'Conditionals', 'Letters to De Vries' and 'Logicism, Some Considerations (PhD)'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

13412

Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]

13413

We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

13411

If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

13415

An adequate account of a number must relate it to its series [Benacerraf]

9. Objects / D. Essence of Objects / 14. Knowledge of Essences

4869	Experience does not teach us any essences of things [Spinoza]

10. Modality / B. Possibility / 8. Conditionals / a. Conditionals

13768

Validity can preserve certainty in mathematics, but conditionals about contingents are another matter [Edgington]

10. Modality / B. Possibility / 8. Conditionals / b. Types of conditional

13770

There are many different conditional mental states, and different conditional speech acts [Edgington]

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

13764

Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? [Edgington]

13765

'If A,B' must entail ¬(A & ¬B); otherwise we could have A true, B false, and If A,B true, invalidating modus ponens [Edgington]