34 ideas
2557 | Analytical philosophy seems to have little interest in how to tell a good analysis from a bad one [Rorty] |
2556 | Rational certainty may be victory in argument rather than knowledge of facts [Rorty] |
4726 | Rorty seems to view truth as simply being able to hold one's view against all comers [Rorty, by O'Grady] |
2549 | For James truth is "what it is better for us to believe" rather than a correct picture of reality [Rorty] |
21752 | Prior to Gödel we thought truth in mathematics consisted in provability [Gödel, by Quine] |
17835 | Gödel show that the incompleteness of set theory was a necessity [Gödel, by Hallett,M] |
17886 | The limitations of axiomatisation were revealed by the incompleteness theorems [Gödel, by Koellner] |
10071 | Second Incompleteness: nice theories can't prove their own consistency [Gödel, by Smith,P] |
19123 | If soundness can't be proved internally, 'reflection principles' can be added to assert soundness [Gödel, by Halbach/Leigh] |
10621 | Gödel's First Theorem sabotages logicism, and the Second sabotages Hilbert's Programme [Smith,P on Gödel] |
17888 | The undecidable sentence can be decided at a 'higher' level in the system [Gödel] |
10132 | There can be no single consistent theory from which all mathematical truths can be derived [Gödel, by George/Velleman] |
3198 | Gödel showed that arithmetic is either incomplete or inconsistent [Gödel, by Rey] |
10072 | First Incompleteness: arithmetic must always be incomplete [Gödel, by Smith,P] |
9590 | Arithmetical truth cannot be fully and formally derived from axioms and inference rules [Gödel, by Nagel/Newman] |
11069 | Gödel's Second says that semantic consequence outruns provability [Gödel, by Hanna] |
10118 | First Incompleteness: a decent consistent system is syntactically incomplete [Gödel, by George/Velleman] |
10122 | Second Incompleteness: a decent consistent system can't prove its own consistency [Gödel, by George/Velleman] |
10611 | There is a sentence which a theory can show is true iff it is unprovable [Gödel, by Smith,P] |
10867 | 'This system can't prove this statement' makes it unprovable either way [Gödel, by Clegg] |
8747 | Realists are happy with impredicative definitions, which describe entities in terms of other existing entities [Gödel, by Shapiro] |
15034 | Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry] |
2548 | If knowledge is merely justified belief, justification is social [Rorty] |
6599 | Knowing has no definable essence, but is a social right, found in the context of conversations [Rorty] |
2566 | You can't debate about whether to have higher standards for the application of words [Rorty] |
2553 | The mind is a property, or it is baffling [Rorty] |
2550 | Pain lacks intentionality; beliefs lack qualia [Rorty] |
2554 | Is intentionality a special sort of function? [Rorty] |
3192 | Basic logic can be done by syntax, with no semantics [Gödel, by Rey] |
2565 | Nature has no preferred way of being represented [Rorty] |
2560 | Can meanings remain the same when beliefs change? [Rorty] |
2562 | A theory of reference seems needed to pick out objects without ghostly inner states [Rorty] |
2559 | Davidson's theory of meaning focuses not on terms, but on relations between sentences [Rorty] |
2558 | Since Hegel we have tended to see a human as merely animal if it is outside a society [Rorty] |