Combining Texts

All the ideas for 'fragments/reports', 'Platonistic Theories of Universals' and 'Grundlagen (Foundations of Theory of Manifolds)'

expand these ideas     |    start again     |     specify just one area for these texts

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7 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor

8964	Entities can be multiplied either by excessive categories, or excessive entities within a category [Hoffman/Rosenkrantz]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

8. Modes of Existence / D. Universals / 4. Uninstantiated Universals

8962	'There are shapes which are never exemplified' is the toughest example for nominalists [Hoffman/Rosenkrantz]

8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism

8961	Nominalists are motivated by Ockham's Razor and a distrust of unobservables [Hoffman/Rosenkrantz]

10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds

8963	Four theories of possible worlds: conceptualist, combinatorial, abstract, or concrete [Hoffman/Rosenkrantz]

28. God / C. Attitudes to God / 3. Deism

1558	Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]