Combining Texts

All the ideas for 'Realism in Mathematics', 'Review: Meinong 'Untersuchungen zur..'' and 'Punctual and segmentive Hopi verbs'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
We can't sharply distinguish variables, domains and values, if symbols frighten us [Russell]
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]
9. Objects / A. Existence of Objects / 4. Impossible objects
Common sense agrees with Meinong (rather than Russell) that 'Pegasus is a flying horse' is true [Lackey on Russell]
I prefer to deny round squares, and deal with the difficulties by the theory of denoting [Russell]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Language arranges sensory experience to form a world-order [Whorf]