Combining Texts
Ideas for
'Thinking About Mathematics', 'Towards a Universal Characteristic' and 'Prior Analytics'
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8 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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19370
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'Blind thought' is reasoning without recognition of the ingredients of the reasoning [Leibniz, by Arthur,R]
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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 / 2. Excluded Middle
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8729
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Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
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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 / 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 / K. Features of Logics / 5. Incompleteness
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19391
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We can assign a characteristic number to every single object [Leibniz]
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