Combining Texts
Ideas for
'Metaphysics', 'The Evolution of Logic' and 'works'
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26 ideas
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
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22154
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For Aristotle bivalence is a feature of reality [Aristotle, by Boulter]
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5. Theory of Logic / G. Quantification / 3. Objectual Quantification
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13506
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The universal quantifier can't really mean 'all', because there is no universal set [Hart,WD]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
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13512
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Modern model theory begins with the proof of Los's Conjecture in 1962 [Hart,WD]
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13505
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Model theory studies how set theory can model sets of sentences [Hart,WD]
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13511
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Model theory is mostly confined to first-order theories [Hart,WD]
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13513
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Models are ways the world might be from a first-order point of view [Hart,WD]
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5. Theory of Logic / K. Features of Logics / 6. Compactness
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13496
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First-order logic is 'compact': consequences of a set are consequences of a finite subset [Hart,WD]
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5. Theory of Logic / L. Paradox / 2. Aporiai
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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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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
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13484
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Berry's Paradox: we succeed in referring to a number, with a term which says we can't do that [Hart,WD]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
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13482
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The Burali-Forti paradox is a crisis for Cantor's ordinals [Hart,WD]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
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13507
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The machinery used to solve the Liar can be rejigged to produce a new Liar [Hart,WD]
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