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Ideas for 'works', 'Introduction to Mathematical Philosophy' and 'Varieties of Things'

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13 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
14452 All the propositions of logic are completely general [Russell]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
14462 In modern times, logic has become mathematical, and mathematics has become logical [Russell]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
10057 Logic can only assert hypothetical existence [Russell]
12444 Logic is concerned with the real world just as truly as zoology [Russell]
14464 Logic can be known a priori, without study of the actual world [Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
14458 Asking 'Did Homer exist?' is employing an abbreviated description [Russell]
10450 Russell admitted that even names could also be used as descriptions [Russell, by Bach]
14457 Names are really descriptions, except for a few words like 'this' and 'that' [Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
7311 The only genuine proper names are 'this' and 'that' [Russell]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / a. Descriptions
14455 'I met a unicorn' is meaningful, and so is 'unicorn', but 'a unicorn' is not [Russell]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
10082 There are infinite sets that are not enumerable [Cantor, by Smith,P]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
13483 Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
8710 The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend]