62 ideas
17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
224 | When questions are doubtful we should concentrate not on objects but on ideas of the intellect [Plato] |
17638 | If one proposition is deduced from another, they are more certain together than alone [Russell] |
14018 | Is Sufficient Reason self-refuting (no reason to accept it!), or is it a legitimate explanatory tool? [Bourne] |
17632 | Non-contradiction was learned from instances, and then found to be indubitable [Russell] |
232 | Opposites are as unlike as possible [Plato] |
8937 | Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel on Plato] |
14008 | The redundancy theory conflates metalinguistic bivalence with object-language excluded middle [Bourne] |
17629 | Which premises are ultimate varies with context [Russell] |
17630 | The sources of a proof are the reasons why we believe its conclusion [Russell] |
17640 | Finding the axioms may be the only route to some new results [Russell] |
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] |
17627 | It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell] |
16150 | One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato] |
17628 | Arithmetic was probably inferred from relationships between physical objects [Russell] |
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] |
221 | Absolute ideas, such as the Good and the Beautiful, cannot be known by us [Plato] |
14009 | It is a necessary condition for the existence of relations that both of the relata exist [Bourne] |
14010 | All relations between spatio-temporal objects are either spatio-temporal, or causal [Bourne] |
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] |
210 | It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [Plato] |
16151 | Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M] |
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] |
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] |
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] |
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] |
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] |
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] |
15847 | Two things relate either as same or different, or part of a whole, or the whole of the part [Plato] |
17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
17639 | Believing a whole science is more than believing each of its propositions [Russell] |
17631 | Induction is inferring premises from consequences [Russell] |
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] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
14016 | The idea of simultaneity in Special Relativity is full of verificationist assumptions [Bourne] |
14019 | Relativity denies simultaneity, so it needs past, present and future (unlike Presentism) [Bourne] |
14013 | Special Relativity allows an absolute past, future, elsewhere and simultaneity [Bourne] |
14015 | No-Futurists believe in past and present, but not future, and say the world grows as facts increase [Bourne] |
14007 | How can presentists talk of 'earlier than', and distinguish past from future? [Bourne] |
14011 | Presentism seems to deny causation, because the cause and the effect can never coexist [Bourne] |
14017 | Since presentists treat the presentness of events as basic, simultaneity should be define by that means [Bourne] |
14003 | Time is tensed or tenseless; the latter says all times and objects are real, and there is no passage of time [Bourne] |
14005 | B-series objects relate to each other; A-series objects relate to the present [Bourne] |
14006 | Time flows, past is fixed, future is open, future is feared but not past, we remember past, we plan future [Bourne] |
234 | We couldn't discuss the non-existence of the One without knowledge of it [Plato] |