53 ideas
6253 | Reason is our power of finding out true propositions [Hutcheson] |
3340 | Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn] |
15943 | Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann] |
3355 | Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA] |
9038 | We must distinguish what the speaker denotes by a name, from what the name denotes [Evans] |
5824 | How can an expression be a name, if names can change their denotation? [Evans] |
9042 | A private intention won't give a name a denotation; the practice needs it to be made public [Evans] |
9041 | The Causal Theory of Names is wrong, since the name 'Madagascar' actually changed denotation [Evans] |
13489 | Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD] |
22716 | Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone] |
12336 | A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou] |
18179 | For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy] |
18180 | Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann] |
15925 | Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine] |
13672 | All the axioms for mathematics presuppose set theory [Neumann] |
16129 | Evans argues (falsely!) that a contradiction follows from treating objects as vague [Evans, by Lowe] |
16459 | Is it coherent that reality is vague, identities can be vague, and objects can have fuzzy boundaries? [Evans] |
16460 | Evans assumes there can be vague identity statements, and that his proof cannot be right [Evans, by Lewis] |
16457 | There clearly are vague identity statements, and Evans's argument has a false conclusion [Evans, by Lewis] |
14484 | If a=b is indeterminate, then a=/=b, and so there cannot be indeterminate identity [Evans, by Thomasson] |
16224 | There can't be vague identity; a and b must differ, since a, unlike b, is only vaguely the same as b [Evans, by PG] |
14895 | 'Superficial' contingency: false in some world; 'Deep' contingency: no obvious verification [Evans, by Macià/Garcia-Carpentiro] |
11881 | Rigid designators can be meaningful even if empty [Evans, by Mackie,P] |
7639 | The Homunculus Fallacy explains a subject perceiving objects by repeating the problem internally [Evans] |
12580 | Experiences have no conceptual content [Evans, by Greco] |
7643 | We have far fewer colour concepts than we have discriminations of colour [Evans] |
23794 | Some representational states, like perception, may be nonconceptual [Evans, by Schulte] |
16366 | The Generality Constraint says if you can think a predicate you can apply it to anything [Evans] |
12575 | Concepts have a 'Generality Constraint', that we must know how predicates apply to them [Evans, by Peacocke] |
5825 | Speakers intend to refer to items that are the source of their information [Evans] |
5823 | The intended referent of a name needs to be the cause of the speaker's information about it [Evans] |
9039 | If descriptions are sufficient for reference, then I must accept a false reference if the descriptions fit [Evans] |
9043 | We use expressions 'deferentially', to conform to the use of other people [Evans] |
9040 | Charity should minimize inexplicable error, rather than maximising true beliefs [Evans] |
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] |
6256 | Can't the moral sense make mistakes, as the other senses do? [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] |
6252 | Happiness is a pleasant sensation, or continued state of such sensations [Hutcheson] |
6241 | Contempt of danger is just madness if it is not in some worthy cause [Hutcheson] |
6257 | You can't form moral rules without an end, which needs feelings and a moral sense [Hutcheson] |
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] |
6254 | We are asked to follow God's ends because he is our benefactor, but why must we do that? [Hutcheson] |
6255 | Why may God not have a superior moral sense very similar to ours? [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] |