Combining Texts

All the ideas for 'Intro to 'Philosophy of Logic'', 'Intuitionism and Formalism' and 'Paraconsistent Logic'

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12 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic
9456 Modal logic is multiple systems, shown in the variety of accessibility relations between worlds [Jacquette]
4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
15382 Paraconsistent reasoning can just mean responding sensibly to inconsistencies [Jago]
12452 Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
9457 The two main views in philosophy of logic are extensionalism and intensionalism [Jacquette]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
9458 Extensionalists say that quantifiers presuppose the existence of their objects [Jacquette]
5. Theory of Logic / I. Semantics of Logic / 6. Intensionalism
9461 Intensionalists say meaning is determined by the possession of properties [Jacquette]
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]
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 / C. Assigning Meanings / 7. Extensional Semantics
9460 Extensionalist semantics forbids reference to nonexistent objects [Jacquette]
9459 Extensionalist semantics is circular, as we must know the extension before assessing 'Fa' [Jacquette]