Combining Texts

All the ideas for 'Realism in Mathematics', 'The Wanderer and his Shadow' and 'Letters'

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9 ideas

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]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
When we admire a work, we see ourselves as its creator [Weil]
25. Social Practice / B. Equalities / 1. Grounds of equality
Relationships depend on equality, so unequal treatment kills them [Weil]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
The end need not be the goal, as in the playing of a melody (and yet it must be completed) [Nietzsche]
29. Religion / B. Monotheistic Religion / 5. Bible
The cruelty of the Old Testament put me off Christianity [Weil]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil]