Combining Texts

All the ideas for 'The Runabout Inference Ticket', 'Mathematics, Science and Language' and 'Defining 'Intrinsic' (with Rae Langton)'

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10 ideas

2. Reason / D. Definition / 1. Definitions
15457 Interdefinition is useless by itself, but if we grasp one separately, we have them both [Lewis]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
17896 We need to know the meaning of 'and', prior to its role in reasoning [Prior,AN, by Belnap]
17898 Prior's 'tonk' is inconsistent, since it allows the non-conservative inference A |- B [Belnap on Prior,AN]
11021 Prior rejected accounts of logical connectives by inference pattern, with 'tonk' his absurd example [Prior,AN, by Read]
13836 Maybe introducing or defining logical connectives by rules of inference leads to absurdity [Prior,AN, by Hacking]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
18119 Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
18118 Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
15400 We must avoid circularity between what is intrinsic and what is natural [Lewis, by Cameron]
15458 A property is 'intrinsic' iff it can never differ between duplicates [Lewis]
15459 Ellipsoidal stars seem to have an intrinsic property which depends on other objects [Lewis]