Combining Philosophers
Ideas for Oswald Veblen, Alex Orenstein and Charles Sanders Peirce
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10 ideas
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
10247
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We have no adequate logic at the moment, so mathematicians must create one [Veblen]
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5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
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 |=
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 / C. Ontology of Logic / 1. Ontology of Logic
19256
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Our research always hopes that reality embodies the logic we are employing [Peirce]
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5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
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
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
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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5. Theory of Logic / G. Quantification / 1. Quantification
8452
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Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein]
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5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
8475
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The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein]
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