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'', 'The Establishment of Scientific Semantics' and 'Essence and Being'
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9 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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13337
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A language: primitive terms, then definition rules, then sentences, then axioms, and finally inference rules [Tarski]
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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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11212
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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 / I. Semantics of Logic / 1. Semantics of Logic
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13335
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Semantics is the concepts of connections of language to reality, such as denotation, definition and truth [Tarski]
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13336
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A language containing its own semantics is inconsistent - but we can use a second language [Tarski]
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5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
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13339
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A sentence is satisfied when we can assert the sentence when the variables are assigned [Tarski]
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13340
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Satisfaction is the easiest semantical concept to define, and the others will reduce to it [Tarski]
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5. Theory of Logic / K. Features of Logics / 2. Consistency
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13341
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Using the definition of truth, we can prove theories consistent within sound logics [Tarski]
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