Combining Texts
Ideas for
'Writing the Book of the World', 'Rationality and Logic' and 'Logical Properties'
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16 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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14980
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There is a real issue over what is the 'correct' logic [Sider]
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15000
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'It is raining' and 'it is not raining' can't be legislated, so we can't legislate 'p or ¬p' [Sider]
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5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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11058
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Logic is explanatorily and ontologically dependent on rational animals [Hanna]
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11072
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Logic is personal and variable, but it has a universal core [Hanna]
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5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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15020
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Classical logic is good for mathematics and science, but less good for natural language [Sider]
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5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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11061
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Intensional consequence is based on the content of the concepts [Hanna]
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15029
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Modal accounts of logical consequence are simple necessity, or essential use of logical words [Sider]
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5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
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6051
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In 'x is F and x is G' we must assume the identity of x in the two statements [McGinn]
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6055
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Both non-contradiction and excluded middle need identity in their formulation [McGinn]
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6059
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Identity is unitary, indefinable, fundamental and a genuine relation [McGinn]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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15019
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Define logical constants by role in proofs, or as fixed in meaning, or as topic-neutral [Sider]
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5. Theory of Logic / G. Quantification / 1. Quantification
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6042
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The quantifier is overrated as an analytical tool [McGinn]
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6067
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Existential quantifiers just express the quantity of things, leaving existence to the predicate 'exists' [McGinn]
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5. Theory of Logic / G. Quantification / 3. Objectual Quantification
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6069
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'Partial quantifier' would be a better name than 'existential quantifier', as no existence would be implied [McGinn]
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5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
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6068
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We need an Intentional Quantifier ("some of the things we talk about.."), so existence goes into the proposition [McGinn]
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5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
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15001
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'Tonk' is supposed to follow the elimination and introduction rules, but it can't be so interpreted [Sider]
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