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'The Establishment of Scientific Semantics', 'The Quest for Certainty' and 'Ideas'
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6 ideas
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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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 / I. Semantics of Logic / 1. Semantics of Logic
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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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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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A sentence is satisfied when we can assert the sentence when the variables are assigned [Tarski]
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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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Using the definition of truth, we can prove theories consistent within sound logics [Tarski]
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