Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Letters to Jourdain' and 'The Blue and Brown Notebooks'

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10 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
8447 In 'Etna is higher than Vesuvius' the whole of Etna, including all the lava, can't be the reference [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
8448 Any object can have many different names, each with a distinct sense [Frege]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
22419 'I' is a subject in 'I am in pain' and an object in 'I am bleeding' [Wittgenstein, by McGinn]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
8446 We understand new propositions by constructing their sense from the words [Frege]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
8449 Senses can't be subjective, because propositions would be private, and disagreement impossible [Frege]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
6318 The doctrine of indeterminacy of translation seems implied by the later Wittgenstein [Wittgenstein, by Quine]