Combining Texts

All the ideas for 'Critical Common-Sensism', 'Contextualism Defended' and 'On the Concept of Number'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22293

Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]

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

12893

Contextualism says sceptical arguments are true, relative to their strict context [Cohen,S]

12896

Knowledge is context-sensitive, because justification is [Cohen,S]

13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism

12894

There aren't invariant high standards for knowledge, because even those can be raised [Cohen,S]