Combining Philosophers
Ideas for Craig Bourne, ystein Linnebo and Aristotle
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44 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
10781
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A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo]
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10638
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A pure logic is wholly general, purely formal, and directly known [Linnebo]
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5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
12376
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Demonstrations by reductio assume excluded middle [Aristotle]
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5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
11033
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Predications of predicates are predications of their subjects [Aristotle]
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5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
12373
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Something holds universally when it is proved of an arbitrary and primitive case [Aristotle]
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5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
11148
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Deduction is when we suppose one thing, and another necessarily follows [Aristotle]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
21593
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In talking of future sea-fights, Aristotle rejects bivalence [Aristotle, by Williamson]
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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 / D. Assumptions for Logic / 2. Excluded Middle
1701
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A prayer is a sentence which is neither true nor false [Aristotle]
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12363
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Everything is either asserted or denied truly [Aristotle]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18896
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Aristotle places terms at opposite ends, joined by a quantified copula [Aristotle, by Sommers]
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4730
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For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
16967
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'Are Coriscus and Callias at home?' sounds like a single question, but it isn't [Aristotle]
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5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
3300
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Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Aristotle, by Benardete,JA]
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5. Theory of Logic / G. Quantification / 1. Quantification
11149
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Affirming/denying sentences are universal, particular, or indeterminate [Aristotle]
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5. Theory of Logic / G. Quantification / 3. Objectual Quantification
8079
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Aristotelian logic has two quantifiers of the subject ('all' and 'some') [Aristotle, by Devlin]
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5. Theory of Logic / G. Quantification / 6. Plural Quantification
10640
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Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo]
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10778
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Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]
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10636
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Plural plurals are unnatural and need a first-level ontology [Linnebo]
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10639
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Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo]
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10783
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Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]
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10635
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Second-order quantification and plural quantification are different [Linnebo]
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10641
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Traditionally we eliminate plurals by quantifying over sets [Linnebo]
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5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
23447
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In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
13004
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Aristotle's axioms (unlike Euclid's) are assumptions awaiting proof [Aristotle, by Leibniz]
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23443
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The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
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23444
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To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
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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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11261
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Puzzles arise when reasoning seems equal on both sides [Aristotle]
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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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