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Ideas for
'Mahaprajnaparamitashastra', 'Prior Analytics' and 'Negation'
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13 ideas
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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18793
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Material implication (and classical logic) considers nothing but truth values for implications [Mares]
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18784
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In classical logic the connectives can be related elegantly, as in De Morgan's laws [Mares]
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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 [Aristotle]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
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18786
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Excluded middle standardly implies bivalence; attacks use non-contradiction, De M 3, or double negation [Mares]
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18780
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Standard disjunction and negation force us to accept the principle of bivalence [Mares]
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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 [Aristotle, by Sommers]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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18782
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The connectives are studied either through model theory or through proof theory [Mares]
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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 [Aristotle, by 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 [Aristotle]
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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') [Aristotle, by Devlin]
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5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
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18783
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Many-valued logics lack a natural deduction system [Mares]
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5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
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18792
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Situation semantics for logics: not possible worlds, but information in situations [Mares]
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5. Theory of Logic / K. Features of Logics / 2. Consistency
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18785
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Consistency is semantic, but non-contradiction is syntactic [Mares]
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