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All the ideas for 'works', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and '(Nonsolipsistic) Conceptual Role Semantics'

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26 ideas

2. Reason / A. Nature of Reason / 6. Coherence
Reasoning aims at increasing explanatory coherence [Harman]
Reason conservatively: stick to your beliefs, and prefer reasoning that preserves most of them [Harman]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
We have a theory of logic (implication and inconsistency), but not of inference or reasoning [Harman]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
I might accept P and Q as likely, but reject P-and-Q as unlikely [Harman]
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 / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
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]
7. Existence / D. Theories of Reality / 3. Reality
Reality is the overlap of true complete theories [Harman]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
There is no natural border between inner and outer [Harman]
We can only describe mental attitudes in relation to the external world [Harman]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
The way things look is a relational matter, not an intrinsic matter [Harman]
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]
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
Concepts in thought have content, but not meaning, which requires communication [Harman]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Take meaning to be use in calculation with concepts, rather than in communication [Harman]
The use theory attaches meanings to words, not to sentences [Harman]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Meaning from use of thoughts, constructed from concepts, which have a role relating to reality [Harman]
Some regard conceptual role semantics as an entirely internal matter [Harman]
The content of thought is relations, between mental states, things in the world, and contexts [Harman]
19. Language / F. Communication / 3. Denial
If one proposition negates the other, which is the negative one? [Harman]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Mastery of a language requires thinking, and not just communication [Harman]