53 ideas
17621 | What matters in mathematics is its objectivity, not the existence of the objects [Dummett] |
3593 | The only way to specify the corresponding fact is asserting the sentence [Williams,M] |
3585 | Coherence needs positive links, not just absence of conflict [Williams,M] |
3584 | Justification needs coherence, while truth might be ideal coherence [Williams,M] |
10537 | The ordered pairs <x,y> can be reduced to the class of sets of the form {{x},{x,y}} [Dummett] |
10542 | To associate a cardinal with each set, we need the Axiom of Choice to find a representative [Dummett] |
3599 | Deduction shows entailments, not what to believe [Williams,M] |
10554 | Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett] |
10552 | Intuitionism says that totality of numbers is only potential, but is still determinate [Dummett] |
10515 | Ostension is possible for concreta; abstracta can only be referred to via other objects [Dummett, by Hale] |
10544 | The concrete/abstract distinction seems crude: in which category is the Mistral? [Dummett] |
10546 | We don't need a sharp concrete/abstract distinction [Dummett] |
10540 | We can't say that light is concrete but radio waves abstract [Dummett] |
10548 | The context principle for names rules out a special philosophical sense for 'existence' [Dummett] |
10281 | The objects we recognise the world as containing depends on the structure of our language [Dummett] |
10532 | We can understand universals by studying predication [Dummett] |
10534 | 'Nominalism' used to mean denial of universals, but now means denial of abstract objects [Dummett] |
10541 | Concrete objects such as sounds and smells may not be possible objects of ostension [Dummett] |
10545 | Abstract objects may not cause changes, but they can be the subject of change [Dummett] |
10555 | If we can intuitively apprehend abstract objects, this makes them observable and causally active [Dummett] |
10543 | Abstract objects must have names that fall within the range of some functional expression [Dummett] |
10320 | If a genuine singular term needs a criterion of identity, we must exclude abstract nouns [Dummett, by Hale] |
10547 | Abstract objects can never be confronted, and need verbal phrases for reference [Dummett] |
10531 | There is a modern philosophical notion of 'object', first introduced by Frege [Dummett] |
3591 | We could never pin down how many beliefs we have [Williams,M] |
3582 | Propositions make error possible, so basic experiential knowledge is impossible [Williams,M] |
3592 | Phenomenalism is a form of idealism [Williams,M] |
3579 | Sense data avoid the danger of misrepresenting the world [Williams,M] |
3581 | Sense data can't give us knowledge if they are non-propositional [Williams,M] |
3564 | Is it people who are justified, or propositions? [Williams,M] |
3595 | What works always takes precedence over theories [Williams,M] |
3580 | Experience must be meaningful to act as foundations [Williams,M] |
3578 | Are empirical foundations judgements or experiences? [Williams,M] |
3576 | Foundationalists are torn between adequacy and security [Williams,M] |
3577 | Strong justification eliminates error, but also reduces our true beliefs [Williams,M] |
3589 | Why should diverse parts of our knowledge be connected? [Williams,M] |
3590 | Coherence theory must give a foundational status to coherence itself [Williams,M] |
3571 | Externalism does not require knowing that you know [Williams,M] |
3574 | Externalism ignores the social aspect of knowledge [Williams,M] |
3569 | In the causal theory of knowledge the facts must cause the belief [Williams,M] |
3567 | How could there be causal relations to mathematical facts? [Williams,M] |
3586 | Only a belief can justify a belief [Williams,M] |
3573 | Externalist reliability refers to a range of conventional conditions [Williams,M] |
3565 | Sometimes I ought to distrust sources which are actually reliable [Williams,M] |
3566 | We control our beliefs by virtue of how we enquire [Williams,M] |
3594 | Scepticism just reveals our limited ability to explain things [Williams,M] |
3575 | Scepticism can involve discrepancy, relativity, infinity, assumption and circularity [Williams,M] |
3587 | Seeing electrons in a cloud chamber requires theory [Williams,M] |
19168 | Concepts only have a 'functional character', because they map to truth values, not objects [Dummett, by Davidson] |
10549 | Since abstract objects cannot be picked out, we must rely on identity statements [Dummett] |
3588 | Foundationalists base meaning in words, coherentists base it in sentences [Williams,M] |
10516 | A realistic view of reference is possible for concrete objects, but not for abstract objects [Dummett, by Hale] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |