Combining Philosophers
Ideas for Charles Sanders Peirce, Karen Armstrong and B Russell/AN Whitehead
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11 ideas
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
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14780
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Only study logic if you think your own reasoning is deficient [Peirce]
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5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
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19237
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Deduction is true when the premises facts necessarily make the conclusion fact true [Peirce]
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5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
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8204
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Lewis's 'strict implication' preserved Russell's confusion of 'if...then' with implication [Quine on Russell/Whitehead]
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9359
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Russell's implication means that random sentences imply one another [Lewis,CI on Russell/Whitehead]
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5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
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19256
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Our research always hopes that reality embodies the logic we are employing [Peirce]
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21707
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Russell unusually saw logic as 'interpreted' (though very general, and neutral) [Russell/Whitehead, by Linsky,B]
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5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
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21493
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Pure mathematics deals only with hypotheses, of which the reality does not matter [Peirce]
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14783
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Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
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19102
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Bivalence is a regulative assumption of enquiry - not a law of logic [Peirce, by Misak]
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5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
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19238
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The logic of relatives relies on objects built of any relations (rather than on classes) [Peirce]
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10036
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In 'Principia' a new abstract theory of relations appeared, and was applied [Russell/Whitehead, by Gödel]
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