Combining Texts

All the ideas for 'Realism in Mathematics', 'The Very Idea of a Conceptual Scheme' and 'Contextualism Defended'

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


11 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Saying truths fit experience adds nothing to truth; nothing makes sentences true [Davidson]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Without the dualism of scheme and content, not much is left of empiricism [Davidson]
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]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Different points of view make sense, but they must be plotted on a common background [Davidson]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Criteria of translation give us the identity of conceptual schemes [Davidson]