Combining Texts

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

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vagueness is a neglected but important part of mathematical thought [Peirce]
All communication is vague, and is outside the principle of non-contradiction [Peirce]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
Contextualism needs a semantics for knowledge sentences that are partly indexical [Schiffer,S]
The indexical aspect of contextual knowledge might be hidden, or it might be in what 'know' means [Schiffer,S]