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'Metaphysics', 'Logic in Mathematics' and 'What is it like to be a bat?'
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25 ideas
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
16867
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Logic not only proves things, but also reveals logical relations between them [Frege]
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5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
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The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
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16863
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Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
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For Aristotle bivalence is a feature of reality [Aristotle, by Boulter]
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5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
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'Theorems' are both proved, and used in proofs [Frege]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
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16871
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A truth can be an axiom in one system and not in another [Frege]
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16868
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The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
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16870
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Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
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5. Theory of Logic / L. Paradox / 2. Aporiai
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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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11270
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Aporia 9: Is there one principle, or one kind of principle? [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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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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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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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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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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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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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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11269
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Aporia 8: Are there general kinds, or merely particulars? [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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