40 ideas
17621 | What matters in mathematics is its objectivity, not the existence of the objects [Dummett] |
20768 | Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius] |
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] |
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] |
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] |
10516 | A realistic view of reference is possible for concrete objects, but not for abstract objects [Dummett, by Hale] |
6248 | Reason is too slow and doubtful to guide all actions, which need external and moral senses [Hutcheson] |
6238 | We approve of actions by a superior moral sense [Hutcheson] |
6239 | We dislike a traitor, even if they give us great benefit [Hutcheson] |
6240 | The moral sense is not an innate idea, but an ability to approve or disapprove in a disinterested way [Hutcheson] |
6242 | We cannot choose our moral feelings, otherwise bribery could affect them [Hutcheson] |
6247 | Everyone feels uneasy when seeing others in pain, unless the others are evil [Hutcheson] |
6244 | Human nature seems incapable of universal malice, except what results from self-love [Hutcheson] |
6243 | As death approaches, why do we still care about family, friends or country? [Hutcheson] |
6246 | My action is not made good by a good effect, if I did not foresee and intend it [Hutcheson] |
3049 | The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius] |
6241 | Contempt of danger is just madness if it is not in some worthy cause [Hutcheson] |
3549 | Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas] |
6245 | That action is best, which procures the greatest happiness for the greatest number [Hutcheson] |
6251 | The loss of perfect rights causes misery, but the loss of imperfect rights reduces social good [Hutcheson] |
6250 | We say God is good if we think everything he does aims at the happiness of his creatures [Hutcheson] |
6249 | If goodness is constituted by God's will, it is a tautology to say God's will is good [Hutcheson] |