Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'The Theory of Transfinite Numbers' and 'reports'

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9 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9616 A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
15896 Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
10580 Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
10579 Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
10577 Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
10578 We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
5517 Individuals don't exist, but are conventional names for sets of elements [Buddha]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
7600 The Buddha believed the gods would eventually disappear, and Nirvana was much higher [Buddha, by Armstrong,K]
7601 Life is suffering, from which only compassion, gentleness, truth and sobriety can save us [Buddha]