Ideas from 'Prior Analytics' by Aristotle [328 BCE], by Theme Structure
[found in 'Prior Analytics' by Aristotle (ed/tr Smith,Robin) [Hackett 1989,0-87220-064-7]].
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4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
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11060
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Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought [Hanna]
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22271
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Aristotle was the first to use schematic letters in logic [Potter]
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18909
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Aristotelian sentences are made up by one of four 'formative' connectors [Engelbretsen]
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8080
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Aristotelian identified 256 possible syllogisms, saying that 19 are valid [Devlin]
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13912
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Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae' [Engelbretsen/Sayward]
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8071
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Aristotle listed nineteen valid syllogisms (though a few of them were wrong) [Devlin]
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4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
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13819
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Aristotle's said some Fs are G or some Fs are not G, forgetting that there might be no Fs [Bostock]
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4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
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9403
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There are three different deductions for actual terms, necessary terms and possible terms
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5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
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11148
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Deduction is when we suppose one thing, and another necessarily follows
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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18896
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Aristotle places terms at opposite ends, joined by a quantified copula [Sommers]
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5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
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3300
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Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Benardete,JA]
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5. Theory of Logic / G. Quantification / 1. Quantification
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11149
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Affirming/denying sentences are universal, particular, or indeterminate
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5. Theory of Logic / G. Quantification / 3. Objectual Quantification
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8079
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Aristotelian logic has two quantifiers of the subject ('all' and 'some') [Devlin]
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10. Modality / A. Necessity / 4. De re / De dicto modality
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14641
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A deduction is necessary if the major (but not the minor) premise is also necessary
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15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
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18911
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Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things [Engelbretsen]
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