Combining Texts

All the ideas for 'works', 'works' and 'Persons, Character and Morality'

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10 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]

10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals

10994

Conditionals are true if minimal revision of the antecedent verifies the consequent [Stalnaker, by Read]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character

23279

It is important that a person can change their character, and not just be successive 'selves' [Williams,B]

23280

Kantians have an poor account of individuals, and insist on impartiality, because they ignore character [Williams,B]

23. Ethics / E. Utilitarianism / 1. Utilitarianism

23278

For utilitarians states of affairs are what have value, not matter who produced them [Williams,B]