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'Metaphysics', 'A Mathematical Introduction to Logic (2nd)' and 'works'
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26 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
9722
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Inference not from content, but from the fact that it was said, is 'conversational implicature' [Enderton]
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5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
9718
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Validity is either semantic (what preserves truth), or proof-theoretic (following procedures) [Enderton]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
22154
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For Aristotle bivalence is a feature of reality [Aristotle, by Boulter]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
9721
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A logical truth or tautology is a logical consequence of the empty set [Enderton]
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5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
9994
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A truth assignment to the components of a wff 'satisfy' it if the wff is then True [Enderton]
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5. Theory of Logic / K. Features of Logics / 3. Soundness
9719
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A proof theory is 'sound' if its valid inferences entail semantic validity [Enderton]
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5. Theory of Logic / K. Features of Logics / 4. Completeness
9720
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A proof theory is 'complete' if semantically valid inferences entail proof-theoretic validity [Enderton]
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5. Theory of Logic / K. Features of Logics / 6. Compactness
9995
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Proof in finite subsets is sufficient for proof in an infinite set [Enderton]
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5. Theory of Logic / K. Features of Logics / 7. Decidability
9996
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Expressions are 'decidable' if inclusion in them (or not) can be proved [Enderton]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
9997
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For a reasonable language, the set of valid wff's can always be enumerated [Enderton]
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5. Theory of Logic / L. Paradox / 2. Aporiai
11264
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Aporia 3: Does one science investigate all being, or does each kind of being have a science? [Aristotle, by Politis]
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11258
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We must start with our puzzles, and progress by solving them, as they reveal the real difficulty [Aristotle]
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11265
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Aporia 4: Does metaphysics just investigate pure being, or also the characteristics of being? [Aristotle, by Politis]
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11262
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Aporia 1: is there one science of explanation, or many? [Aristotle, by Politis]
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11263
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Aporia 2: Does one science investigate both ultimate and basic principles of being? [Aristotle, by Politis]
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11266
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Aporia 5: Do other things exist besides what is perceptible by the senses? [Aristotle, by Politis]
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11270
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Aporia 9: Is there one principle, or one kind of principle? [Aristotle, by Politis]
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11267
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Aporia 6: Are the basic principles of a thing the kinds to which it belongs, or its components? [Aristotle, by Politis]
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11268
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Aporia 7: Is a thing's kind the most general one, or the most specific one? [Aristotle, by Politis]
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11269
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Aporia 8: Are there general kinds, or merely particulars? [Aristotle, by Politis]
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11271
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Aporia 10: Do perishables and imperishables have the same principle? [Aristotle, by Politis]
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11272
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Aporia 11: Are primary being and unity distinct, or only in the things that are? [Aristotle, by Politis]
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11273
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Aporia 12: Do mathematical entities exist independently, or only in objects? [Aristotle, by Politis]
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11274
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Aporia 13: Are there kinds, as well as particulars and mathematical entities? [Aristotle, by Politis]
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11276
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Aporia 15: Are the causes of things universals or particulars? [Aristotle, by Politis]
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11275
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Aporia 14: Are ultimate causes of things potentialities, or must they be actual? [Aristotle, by Politis]
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