45 ideas
1642 | We must fight fiercely for knowledge, understanding and intelligence [Plato] |
23728 | Analysis aims to express the full set of platitudes surrounding a given concept [Smith,M] |
1645 | The desire to split everything into its parts is unpleasant and unphilosophical [Plato] |
287 | Good analysis involves dividing things into appropriate forms without confusion [Plato] |
1644 | Dialectic should only be taught to those who already philosophise well [Plato] |
20478 | In discussion a person's opinions are shown to be in conflict, leading to calm self-criticism [Plato] |
23744 | Defining a set of things by paradigms doesn't pin them down enough [Smith,M] |
13733 | Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn] |
9874 | Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege] |
18252 | Real numbers are ratios of quantities, such as lengths or masses [Frege] |
18271 | We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege] |
10623 | Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright] |
9975 | Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege] |
18165 | My Basic Law V is a law of pure logic [Frege] |
11278 | What does 'that which is not' refer to? [Plato] |
1643 | If statements about non-existence are logically puzzling, so are statements about existence [Plato] |
7022 | To be is to have a capacity, to act on other things, or to receive actions [Plato] |
1641 | Some alarming thinkers think that only things which you can touch exist [Plato] |
10784 | Whenever there's speech it has to be about something [Plato] |
16122 | Good thinkers spot forms spread through things, or included within some larger form [Plato] |
10422 | The not-beautiful is part of the beautiful, though opposed to it, and is just as real [Plato] |
15855 | If we see everything as separate, we can then give no account of it [Plato] |
1637 | A soul without understanding is ugly [Plato] |
23743 | Capturing all the common sense facts about rationality is almost impossible [Smith,M] |
9190 | A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett] |
13665 | Frege took the study of concepts to be part of logic [Frege, by Shapiro] |
23724 | A pure desire could be criticised if it were based on a false belief [Smith,M] |
23736 | A person can have a desire without feeling it [Smith,M] |
23723 | In the Humean account, desires are not true/false, or subject to any rational criticism [Smith,M] |
23735 | Subjects may be fallible about the desires which explain their actions [Smith,M] |
23738 | Humeans (unlike their opponents) say that desires and judgements can separate [Smith,M] |
23742 | If first- and second-order desires conflict, harmony does not require the second-order to win [Smith,M] |
23746 | Objective reasons to act might be the systematic desires of a fully rational person [Smith,M] |
23739 | Goals need desires, and so only desires can motivate us [Smith,M] |
23733 | Motivating reasons are psychological, while normative reasons are external [Smith,M] |
23740 | Humeans take maximising desire satisfaction as the normative reasons for actions [Smith,M] |
23745 | We cannot expect even fully rational people to converge on having the same desires for action [Smith,M] |
23731 | 'Externalists' say moral judgements are not reasons, and maybe not even motives [Smith,M] |
23732 | A person could make a moral judgement without being in any way motivated by it [Smith,M] |
23729 | Moral internalism says a judgement of rightness is thereby motivating [Smith,M] |
23730 | 'Rationalism' says the rightness of an action is a reason to perform it [Smith,M] |
23727 | Expressivists count attitudes as 'moral' if they concern features of things, rather than their mere existence [Smith,M] |
23741 | Is valuing something a matter of believing or a matter of desiring? [Smith,M] |
1636 | Wickedness is an illness of the soul [Plato] |
1638 | Didactic education is hard work and achieves little [Plato] |