Combining Texts

All the ideas for 'Conditionals', 'The Quest for Certainty' and 'Paradoxes of the Infinite'

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

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7 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9987	An aggregate in which order does not matter I call a 'set' [Bolzano]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

10856

A truly infinite quantity does not need to be a variable [Bolzano]

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]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

21516

We want certainty in order achieve secure results for action [Dewey]