Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'The Epistemology of Essentialist Claims' and 'Probability and Logic of Rational Belief'

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7 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / e. The Lottery paradox
If my ticket won't win the lottery (and it won't), no other tickets will either [Kyburg, by Pollock/Cruz]
9. Objects / D. Essence of Objects / 3. Individual Essences
Only individuals have essences, so numbers (as a higher type based on classes) lack them [McMichael]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essences are the interesting necessary properties resulting from a thing's own peculiar nature [McMichael]
Maybe essential properties have to be intrinsic, as well as necessary? [McMichael]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Essentialism is false, because it implies the existence of necessary singular propositions [McMichael]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
Individuals enter into laws only through their general qualities and relations [McMichael]