Combining Texts

All the ideas for 'fragments/reports', 'The Trouble with Possible Worlds' and 'Realism in Mathematics'

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13 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
The Razor seems irrelevant for Meinongians, who allow absolutely everything to exist [Lycan]
Maybe Ockham's Razor is a purely aesthetic principle [Lycan]
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]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
9. Objects / A. Existence of Objects / 4. Impossible objects
Maybe non-existent objects are sets of properties [Lycan]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Treating possible worlds as mental needs more actual mental events [Lycan]
Possible worlds must be made of intensional objects like propositions or properties [Lycan]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
If 'worlds' are sentences, and possibility their consistency, consistency may rely on possibility [Lycan]
19. Language / F. Communication / 1. Rhetoric
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]