Combining Texts

Ideas for 'Axiomatic Theories of Truth', 'The Logic of Decision' and 'Truth by Convention'

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12 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
16333 The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10064 Quine quickly dismisses If-thenism [Quine, by Musgrave]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
20296 Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey]
8998 Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine]
8999 Logic isn't conventional, because logic is needed to infer logic from conventions [Quine]
9000 If a convention cannot be communicated until after its adoption, what is its role? [Quine]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
16310 A theory is some formulae and all of their consequences [Halbach]
5. Theory of Logic / K. Features of Logics / 3. Soundness
16342 You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach]
16341 Normally we only endorse a theory if we believe it to be sound [Halbach]
16344 Soundness must involve truth; the soundness of PA certainly needs it [Halbach]
5. Theory of Logic / L. Paradox / 1. Paradox
16347 Many new paradoxes may await us when we study interactions between frameworks [Halbach]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
16336 The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach]