Combining Texts

All the ideas for 'Conditionals', 'Explanation in Mathematics' and 'Philosophical Insignificance of A Priori Knowledge'

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10 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism

13407

All worthwhile philosophy is synthetic theorizing, evaluated by experience [Papineau]

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems

13409

Our best theories may commit us to mathematical abstracta, but that doesn't justify the commitment [Papineau]

9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities

13166

Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]

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]

12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts

13406

A priori knowledge is analytic - the structure of our concepts - and hence unimportant [Papineau]

12. Knowledge Sources / E. Direct Knowledge / 2. Intuition

13408

Intuition and thought-experiments embody substantial information about the world [Papineau]

19. Language / A. Nature of Meaning / 5. Meaning as Verification

13410

Verificationism about concepts means you can't deny a theory, because you can't have the concept [Papineau]