Combining Texts
Ideas for
'Metaphysics', 'Sickness unto Death' and 'The Principles of Mathematics'
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27 ideas
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
14106
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Implication cannot be defined [Russell]
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14108
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It would be circular to use 'if' and 'then' to define material implication [Russell]
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5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
14167
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The only classes are things, predicates and relations [Russell]
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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 / E. Structures of Logic / 2. Logical Connectives / b. Basic connectives
14105
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There seem to be eight or nine logical constants [Russell]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
18722
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Negations are not just reversals of truth-value, since that can happen without negation [Wittgenstein on Russell]
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5. Theory of Logic / E. Structures of Logic / 3. Constants in Logic
14104
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Constants are absolutely definite and unambiguous [Russell]
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5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
14114
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Variables don't stand alone, but exist as parts of propositional functions [Russell]
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5. Theory of Logic / G. Quantification / 1. Quantification
14137
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'Any' is better than 'all' where infinite classes are concerned [Russell]
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5. Theory of Logic / L. Paradox / 2. Aporiai
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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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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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
14149
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The Achilles Paradox concerns the one-one correlation of infinite classes [Russell]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
15895
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Russell discovered the paradox suggested by Burali-Forti's work [Russell, by Lavine]
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