Combining Texts

All the ideas for 'Realism in Mathematics', 'Laudatio: Prof Ruth Barcan Marcus' and 'Miscellaneous Observations'

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13 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
If man sacrifices truth he sacrifices himself, by acting against his own convictions [Novalis]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Delusion and truth differ in their life functions [Novalis]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
If a property is possible, there is something which can have it [Williamson]
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 / D. Essence of Objects / 3. Individual Essences
Refinement of senses increasingly distinguishes individuals [Novalis]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Experiences tests reason, and reason tests experience [Novalis]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The seat of the soul is where our inner and outer worlds interpenetrate [Novalis]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Everything is a chaotic unity, then we abstract, then we reunify the world into a free alliance [Novalis]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Only self-illuminated perfect individuals are beautiful [Novalis]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion needs an intermediary, because none of us can connect directly to a godhead [Novalis]