Combining Philosophers
Ideas for Anon (Dham), Colin McGinn and Mark Colyvan
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11 ideas
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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17924
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Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan]
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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 / 1. Logical Form
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2544
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Thoughts have a dual aspect: as they seem to introspection, and their underlying logical reality [McGinn]
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5. Theory of Logic / G. Quantification / 1. Quantification
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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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6042
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The quantifier is overrated as an analytical tool [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 / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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17929
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Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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17930
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Axioms are 'categorical' if all of their models are isomorphic [Colyvan]
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