Combining Texts
Ideas for
'Unconscious Cerebral Initiative', 'Philosophies of Mathematics' and 'Trees, Terms and Truth'
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11 ideas
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
18912
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Was logic a branch of mathematics, or mathematics a branch of logic? [Engelbretsen]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
10111
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Asserting Excluded Middle is a hallmark of realism about the natural world [George/Velleman]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18922
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Logical syntax is actually close to surface linguistic form [Engelbretsen]
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18905
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Propositions can be analysed as pairs of terms glued together by predication [Engelbretsen]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
18908
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Standard logic only negates sentences, even via negated general terms or predicates [Engelbretsen]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10129
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A 'model' is a meaning-assignment which makes all the axioms true [George/Velleman]
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5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10105
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Differences between isomorphic structures seem unimportant [George/Velleman]
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5. Theory of Logic / K. Features of Logics / 2. Consistency
10119
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Consistency is a purely syntactic property, unlike the semantic property of soundness [George/Velleman]
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10126
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A 'consistent' theory cannot contain both a sentence and its negation [George/Velleman]
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5. Theory of Logic / K. Features of Logics / 3. Soundness
10120
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Soundness is a semantic property, unlike the purely syntactic property of consistency [George/Velleman]
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5. Theory of Logic / K. Features of Logics / 4. Completeness
10127
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A 'complete' theory contains either any sentence or its negation [George/Velleman]
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