Combining Texts

All the ideas for 'On Aristotle's 'Metaphysics'', 'On Assertion and Indicative Conditionals' and 'works'

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9 ideas

2. Reason / A. Nature of Reason / 1. On Reason

17892

For clear questions posed by reason, reason can also find clear answers [Gödel]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

9188	Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]

5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth

10620

Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

17883

Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

17885

Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]

10614

The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]

7. Existence / E. Categories / 4. Category Realism

16655

Different genera are delimited by modes of predication, which rest on modes of being [Aquinas]

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

14288

'If A,B' affirms that A⊃B, and also that this wouldn't change if A were certain [Jackson, by Edgington]

13769

Conditionals are truth-functional, but should only be asserted when they are confident [Jackson, by Edgington]