Combining Texts

All the ideas for 'What is a Leading Principle?', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and 'Mad Pain and Martian Pain'

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13 ideas

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 / A. Knowledge / 4. Belief / c. Aim of beliefs
A 'belief' is a habit which determines how our imagination and actions proceed [Peirce]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
Type-type psychophysical identity is combined with a functional characterisation of pain [Lewis]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The application of 'pain' to physical states is non-rigid and contingent [Lewis]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
A theory must be mixed, to cover qualia without behaviour, and behaviour without qualia [Lewis, by PG]
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]