Combining Texts

All the ideas for 'Inexpressible Properties and Propositions', 'The Nature and Communication of Substance' and 'Grundlagen (Foundations of Theory of Manifolds)'

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8 ideas

3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Maybe mind and body are parallel, like two good clocks [Leibniz]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
If the universe is a perfect agreement of uncommunicating substances, there must be a common source [Leibniz]