Combining Texts

All the ideas for 'fragments/reports', 'works' and '68: Generation of the soul in 'Timaeus''

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8 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]

18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason

5963	Some say emotion is a sort of reason, and others say virtue concerns emotion [Plutarch]

28. God / A. Divine Nature / 1. God

6011	There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]