Combining Texts

All the ideas for 'Conditionals', 'On the Nature of Mathematical Reasoning' and 'Outline of a System of Utilitarianism'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
15923 Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
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]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
22405 Negative utilitarianism implies that the world should be destroyed, to avoid future misery [Smart]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
22404 Any group interested in ethics must surely have a sentiment of generalised benevolence [Smart]