Combining Texts

All the ideas for 'Critical Common-Sensism', 'Contextualism Defended' and 'Realism, Mathematics and Modality'

expand these ideas     |    start again     |     specify just one area for these texts


6 ideas

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H]
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 says sceptical arguments are true, relative to their strict context [Cohen,S]
Knowledge is context-sensitive, because justification is [Cohen,S]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
There aren't invariant high standards for knowledge, because even those can be raised [Cohen,S]