Combining Philosophers
Ideas for E Margolis/S Laurence, George Cantor and Keith Devlin
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9 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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8091
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Situation theory is logic that takes account of context [Devlin]
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5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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8089
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Montague's intensional logic incorporated the notion of meaning [Devlin]
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8087
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Golden ages: 1900-1960 for pure logic, and 1950-1985 for applied logic [Devlin]
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5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
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8082
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Where a conditional is purely formal, an implication implies a link between premise and conclusion [Devlin]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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8072
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Sentences of apparent identical form can have different contextual meanings [Devlin]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
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10082
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There are infinite sets that are not enumerable [Cantor, by Smith,P]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
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8075
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Space and time are atomic in the arrow, and divisible in the tortoise [Devlin]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
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13483
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Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
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8710
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The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend]
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