66 ideas
224 | When questions are doubtful we should concentrate not on objects but on ideas of the intellect [Plato] |
232 | Opposites are as unlike as possible [Plato] |
8964 | Entities can be multiplied either by excessive categories, or excessive entities within a category [Hoffman/Rosenkrantz] |
8937 | Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel on Plato] |
22317 | Truth does not admit of more and less [Frege] |
13455 | Frege did not think of himself as working with sets [Frege, by Hart,WD] |
16895 | The null set is indefensible, because it collects nothing [Frege, by Burge] |
3328 | Frege proposed a realist concept of a set, as the extension of a predicate or concept or function [Frege, by Benardete,JA] |
9179 | Frege frequently expressed a contempt for language [Frege, by Dummett] |
13473 | Frege thinks there is an independent logical order of the truths, which we must try to discover [Frege, by Hart,WD] |
3319 | Frege gives a functional account of predication so that we can dispense with predicates [Frege, by Benardete,JA] |
6076 | For Frege, predicates are names of functions that map objects onto the True and False [Frege, by McGinn] |
9871 | Frege always, and fatally, neglected the domain of quantification [Dummett on Frege] |
16884 | Basic truths of logic are not proved, but seen as true when they are understood [Frege, by Burge] |
13986 | Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle] |
14150 | Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato] |
3331 | If '5' is the set of all sets with five members, that may be circular, and you can know a priori if the set has content [Benardete,JA on Frege] |
16150 | One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato] |
16880 | Frege aimed to discover the logical foundations which justify arithmetical judgements [Frege, by Burge] |
8689 | Eventually Frege tried to found arithmetic in geometry instead of in logic [Frege, by Friend] |
229 | The one was and is and will be and was becoming and is becoming and will become [Plato] |
21821 | Plato's Parmenides has a three-part theory, of Primal One, a One-Many, and a One-and-Many [Plato, by Plotinus] |
5657 | Frege's logic showed that there is no concept of being [Frege, by Scruton] |
221 | Absolute ideas, such as the Good and the Beautiful, cannot be known by us [Plato] |
227 | You must always mean the same thing when you utter the same name [Plato] |
223 | If you deny that each thing always stays the same, you destroy the possibility of discussion [Plato] |
8962 | 'There are shapes which are never exemplified' is the toughest example for nominalists [Hoffman/Rosenkrantz] |
16151 | Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M] |
210 | It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [Plato] |
211 | If admirable things have Forms, maybe everything else does as well [Plato] |
228 | Greatness and smallness must exist, to be opposed to one another, and come into being in things [Plato] |
219 | If absolute ideas existed in us, they would cease to be absolute [Plato] |
220 | The concept of a master includes the concept of a slave [Plato] |
218 | Participation is not by means of similarity, so we are looking for some other method of participation [Plato] |
212 | The whole idea of each Form must be found in each thing which participates in it [Plato] |
215 | If things partake of ideas, this implies either that everything thinks, or that everything actually is thought [Plato] |
213 | Each idea is in all its participants at once, just as daytime is a unity but in many separate places at once [Plato] |
216 | If things are made alike by participating in something, that thing will be the absolute idea [Plato] |
214 | If absolute greatness and great things are seen as the same, another thing appears which makes them seem great [Plato] |
217 | Nothing can be like an absolute idea, because a third idea intervenes to make them alike (leading to a regress) [Plato] |
8961 | Nominalists are motivated by Ockham's Razor and a distrust of unobservables [Hoffman/Rosenkrantz] |
15851 | Parts must belong to a created thing with a distinct form [Plato] |
15846 | In Parmenides, if composition is identity, a whole is nothing more than its parts [Plato, by Harte,V] |
15849 | Plato says only a one has parts, and a many does not [Plato, by Harte,V] |
15850 | Anything which has parts must be one thing, and parts are of a one, not of a many [Plato] |
13259 | It seems that the One must be composed of parts, which contradicts its being one [Plato] |
3318 | Frege made identity a logical notion, enshrined above all in the formula 'for all x, x=x' [Frege, by Benardete,JA] |
15847 | Two things relate either as same or different, or part of a whole, or the whole of the part [Plato] |
8963 | Four theories of possible worlds: conceptualist, combinatorial, abstract, or concrete [Hoffman/Rosenkrantz] |
16885 | To understand a thought, understand its inferential connections to other thoughts [Frege, by Burge] |
16887 | Frege's concept of 'self-evident' makes no reference to minds [Frege, by Burge] |
16894 | An apriori truth is grounded in generality, which is universal quantification [Frege, by Burge] |
16882 | The building blocks contain the whole contents of a discipline [Frege] |
5816 | Frege said concepts were abstract entities, not mental entities [Frege, by Putnam] |
7307 | A thought is not psychological, but a condition of the world that makes a sentence true [Frege, by Miller,A] |
7309 | Frege's 'sense' is the strict and literal meaning, stripped of tone [Frege, by Miller,A] |
7312 | 'Sense' solves the problems of bearerless names, substitution in beliefs, and informativeness [Frege, by Miller,A] |
7725 | 'P or not-p' seems to be analytic, but does not fit Kant's account, lacking clear subject or predicate [Frege, by Weiner] |
7316 | Analytic truths are those that can be demonstrated using only logic and definitions [Frege, by Miller,A] |
222 | Only a great person can understand the essence of things, and an even greater person can teach it [Plato] |
225 | The unlimited has no shape and is endless [Plato] |
233 | Some things do not partake of the One [Plato] |
231 | Everything partakes of the One in some way [Plato] |
2062 | The only movement possible for the One is in space or in alteration [Plato] |
234 | We couldn't discuss the non-existence of the One without knowledge of it [Plato] |
3307 | Frege put forward an ontological argument for the existence of numbers [Frege, by Benardete,JA] |