Combining Texts

All the ideas for 'The Gettier Problem', 'Truth and Meaning' and 'Mathematics without Foundations'

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12 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
There is a huge range of sentences of which we do not know the logical form [Davidson]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]
19. Language / C. Assigning Meanings / 4. Compositionality
Compositionality explains how long sentences work, and truth conditions are the main compositional feature [Davidson, by Lycan]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Davidson thinks Frege lacks an account of how words create sentence-meaning [Davidson, by Miller,A]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
You can state truth-conditions for "I am sick now" by relativising it to a speaker at a time [Davidson, by Lycan]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Should we assume translation to define truth, or the other way around? [Blackburn on Davidson]