Combining Philosophers
Ideas for Plutarch, Amos and Gottlob Frege
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15 ideas
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
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18806
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Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
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9154
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Frege agreed with Euclid that the axioms of logic and mathematics are known through self-evidence [Frege, by Burge]
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9585
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Since every definition is an equation, one cannot define equality itself [Frege]
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4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
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4971
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I don't use 'subject' and 'predicate' in my way of representing a judgement [Frege]
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4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / d. Universal quantifier ∀
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17745
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For Frege, 'All A's are B's' means that the concept A implies the concept B [Frege, by Walicki]
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4. Formal Logic / F. Set Theory ST / 1. Set Theory
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13455
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Frege did not think of himself as working with sets [Frege, by Hart,WD]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
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9157
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The null set is only defensible if it is the extension of an empty concept [Frege, by Burge]
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16895
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The null set is indefensible, because it collects nothing [Frege, by Burge]
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9835
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It is because a concept can be empty that there is such a thing as the empty class [Frege, by Dummett]
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14238
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A class is an aggregate of objects; if you destroy them, you destroy the class; there is no empty class [Frege]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
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9854
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We can introduce new objects, as equivalence classes of objects already known [Frege, by Dummett]
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9883
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Frege introduced the standard device, of defining logical objects with equivalence classes [Frege, by Dummett]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
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18104
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Frege, unlike Russell, has infinite individuals because numbers are individuals [Frege, by Bostock]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
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9834
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A class is, for Frege, the extension of a concept [Frege, by Dummett]
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3328
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Frege proposed a realist concept of a set, as the extension of a predicate or concept or function [Frege, by Benardete,JA]
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