Combining Texts

All the ideas for 'works', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and 'Introduction to German Philosophy'

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14 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
German Idealism says our thinking and nature have the same rational structure [Bowie]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
Nazis think race predetermines the self [Bowie]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Do new ideas increase the weight of the brain? [Dance]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
19. Language / F. Communication / 1. Rhetoric
Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie]