Combining Texts

All the ideas for 'Wisdom', 'Inexpressible Properties and Propositions' and 'On boundary numbers and domains of sets'

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8 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated

19695

The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]

3. Truth / H. Deflationary Truth / 3. Minimalist Truth

17990

Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17832

Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII

13028

Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

17988

Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]

5. Theory of Logic / L. Paradox / 3. Antinomies

17626

The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]

8. Modes of Existence / B. Properties / 1. Nature of Properties

17989

Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]

19. Language / F. Communication / 6. Interpreting Language / a. Translation

17991

Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]