Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, H. Paul Grice and Antoine Arnauld

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25 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
22140 The greatest philosophers are methodical; it is what makes them great [Grice]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
16519 No one can conceive of a possible substance, apart from those which God has created [Arnauld]
4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
12452 Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]
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 / 3. Nature of Numbers / h. Reals from Cauchy
18247 Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
12451 Scientific laws largely rest on the results of counting and measuring [Brouwer]
18118 Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
12454 Intuitionists only accept denumerable sets [Brouwer]
12453 Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
8728 Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
13856 Conditionals are truth-functional, but we must take care with misleading ones [Grice, by Edgington]
8948 The odd truth table for material conditionals is explained by conversational conventions [Grice, by Fisher]
13767 Conditionals might remain truth-functional, despite inappropriate conversational remarks [Edgington on Grice]
10. Modality / B. Possibility / 8. Conditionals / f. Pragmatics of conditionals
10990 Conditionals are truth-functional, but unassertable in tricky cases? [Grice, by Read]
14277 A person can be justified in believing a proposition, though it is unreasonable to actually say it [Grice, by Edgington]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
7751 Meaning needs an intention to induce a belief, and a recognition that this is the speaker's intention [Grice]
7752 Only the utterer's primary intention is relevant to the meaning [Grice]
7753 We judge linguistic intentions rather as we judge non-linguistic intentions, so they are alike [Grice]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10117 Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
19. Language / A. Nature of Meaning / 6. Meaning as Use
22330 Grice said patterns of use are often semantically irrelevant, because it is a pragmatic matter [Grice, by Glock]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
18045 Grice's maxim of quality says do not assert what you believe to be false [Grice, by Magidor]
18044 Grice's maxim of manner requires one to be as brief as possible [Grice, by Magidor]
10991 Key conversational maxims are 'quality' (assert truth) and 'quantity' (leave nothing out) [Grice, by Read]
18046 Grice's maxim of quantity says be sufficiently informative [Grice, by Magidor]