Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and 'Truth Rehabilitated'

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19 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
23291 Without truth, both language and thought are impossible [Davidson]
23284 Plato's Forms confused truth with the most eminent truths, so only Truth itself is completely true [Davidson]
23286 Truth can't be a goal, because we can neither recognise it nor confim it [Davidson]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
23292 Correspondence can't be defined, but it shows how truth depends on the world [Davidson]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
23288 When Tarski defines truth for different languages, how do we know it is a single concept? [Davidson]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
23287 Disquotation only accounts for truth if the metalanguage contains the object language [Davidson]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
13733 Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
9874 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
18252 Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
18271 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
10623 Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
9975 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
18165 My Basic Law V is a law of pure logic [Frege]
7. Existence / D. Theories of Reality / 8. Facts / e. Facts rejected
23285 If we try to identify facts precisely, they all melt into one (as the Slingshot Argument proves) [Davidson]
14. Science / A. Basis of Science / 6. Falsification
18284 Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
9190 A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
13665 Frege took the study of concepts to be part of logic [Frege, by Shapiro]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
23289 Knowing the potential truth conditions of a sentence is necessary and sufficient for understanding [Davidson]
19. Language / A. Nature of Meaning / 6. Meaning as Use
23290 It could be that the use of a sentence is explained by its truth conditions [Davidson]