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'', 'Logic and Conversation' and 'Axiomatic Theories of Truth'
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10 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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11211
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If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
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5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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11210
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Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
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The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
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16310
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A theory is some formulae and all of their consequences [Halbach]
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5. Theory of Logic / K. Features of Logics / 3. Soundness
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You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach]
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16341
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Normally we only endorse a theory if we believe it to be sound [Halbach]
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Soundness must involve truth; the soundness of PA certainly needs it [Halbach]
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5. Theory of Logic / L. Paradox / 1. Paradox
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Many new paradoxes may await us when we study interactions between frameworks [Halbach]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
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16336
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The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach]
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