Combining Texts

All the ideas for 'Contextualist Solutions to Scepticism', 'Critical Common-Sensism' and 'works'

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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]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

14797

Vagueness is a neglected but important part of mathematical thought [Peirce]

14798

All communication is vague, and is outside the principle of non-contradiction [Peirce]

13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism

19508

Contextualism needs a semantics for knowledge sentences that are partly indexical [Schiffer,S]

19509

The indexical aspect of contextual knowledge might be hidden, or it might be in what 'know' means [Schiffer,S]