Combining Texts

All the ideas for 'Conditionals', 'The Artworld' and 'The Foundations of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

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6 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

18844

You would cripple mathematics if you denied Excluded Middle [Hilbert]

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]

21. Aesthetics / B. Nature of Art / 6. Art as Institution

20441

An ordinary object can be a work of art, but only if some theory of art supports it [Danto]