Combining Texts

All the ideas for 'fragments/reports', 'Intuitionism and Formalism' and 'Semantics for Propositional Attitudes'

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9 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency

12452

Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]

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]

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]

7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment

15785

Our commitments are to an 'ontology', but also to an 'ideology', or conceptual system [Hintikka]

9. Objects / E. Objects over Time / 8. Continuity of Rivers

579	Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]

10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds

15786

Commitment to possible worlds is part of our ideology, not part of our ontology [Hintikka]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

578	Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]

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]