87 ideas
224 | When questions are doubtful we should concentrate not on objects but on ideas of the intellect [Plato] |
24084 | Seeing with other eyes is more egoism, but exploring other perspectives leads to objectivity [Nietzsche] |
232 | Opposites are as unlike as possible [Plato] |
8937 | Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel on Plato] |
24092 | I tell the truth, even if it is repulsive [Nietzsche] |
24114 | The pain in truth is when it destroys a belief [Nietzsche] |
24104 | We don't create logic, time and space! The mind obeys laws because they are true [Nietzsche] |
13011 | New axioms are being sought, to determine the size of the continuum [Maddy] |
13013 | The Axiom of Extensionality seems to be analytic [Maddy] |
13014 | Extensional sets are clearer, simpler, unique and expressive [Maddy] |
13021 | The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy] |
13022 | Infinite sets are essential for giving an account of the real numbers [Maddy] |
13023 | The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy] |
13024 | Efforts to prove the Axiom of Choice have failed [Maddy] |
13025 | Modern views say the Choice set exists, even if it can't be constructed [Maddy] |
13026 | A large array of theorems depend on the Axiom of Choice [Maddy] |
13019 | The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy] |
13018 | Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy] |
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] |
16150 | One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato] |
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] |
24112 | To think about being we must have an opinion about what it is [Nietzsche] |
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] |
210 | It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [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] |
219 | If absolute ideas existed in us, they would cease to be absolute [Plato] |
228 | Greatness and smallness must exist, to be opposed to one another, and come into being in things [Plato] |
16151 | Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M] |
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] |
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] |
215 | If things partake of ideas, this implies either that everything thinks, or that everything actually is thought [Plato] |
217 | Nothing can be like an absolute idea, because a third idea intervenes to make them alike (leading to a regress) [Plato] |
214 | If absolute greatness and great things are seen as the same, another thing appears which makes them seem great [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] |
24089 | Essences are fictions needed for beings who represent things [Nietzsche] |
15847 | Two things relate either as same or different, or part of a whole, or the whole of the part [Plato] |
24115 | There is no proof that we forget things - only that we can't recall [Nietzsche] |
24090 | Our inclinations would not conflict if we were a unity; we imagine unity for our multiplicity [Nietzsche] |
24099 | We contain many minds, which fight for the 'I' of the mind [Nietzsche] |
24102 | Thoughts are signs (just as words are) [Nietzsche] |
24120 | Great orators lead their arguments, rather than following them [Nietzsche] |
24097 | The pragmatics of language is more comprehensible than the meaning [Nietzsche] |
24108 | Actions are just a release of force. They seize on something, which becomes the purpose [Nietzsche] |
24105 | Drives make us feel non-feelings; Will is the effect of those feelings [Nietzsche] |
24117 | We need lower and higher drives, but they must be under firm control [Nietzsche] |
24113 | Our motives don't explain our actions [Nietzsche] |
24087 | People who miss beauty seek the sublime, where even the ugly shows its 'beauty' [Nietzsche] |
24091 | The sublimity of nature which dwarfs us was a human creation [Nietzsche] |
24093 | We can aspire to greatness by creating new functions for ourselves [Nietzsche] |
24121 | Greeks might see modern analysis of what is human as impious [Nietzsche] |
24107 | Once a drive controls the intellect, it rules, and sets the goals [Nietzsche] |
24085 | For absolute morality a goal for mankind is needed [Nietzsche] |
24101 | We always assign values, but we may not value those values [Nietzsche] |
24094 | Humans are vividly aware of short-term effects, and almost ignorant of the long-term ones [Nietzsche] |
24111 | Happiness is the active equilibrium of our drives [Nietzsche] |
24109 | Actual morality is more complicated and subtle than theory (which gets paralysed) [Nietzsche] |
24110 | Some things we would never do, even for the highest ideals [Nietzsche] |
24103 | You should not want too many virtues; one is enough [Nietzsche] |
24106 | Talk of 'utility' presupposes that what is useful to people has been defined [Nietzsche] |
24086 | The goal is to settle human beings, like other animals, but humans are still changeable [Nietzsche] |
24123 | My eternal recurrence is opposed to feeling fragmented and imperfect [Nietzsche] |
24088 | See our present lives as eternal! Religions see it as fleeting, and aim at some different life [Nietzsche] |
24119 | The eternal return of wastefulness is a terrible thought [Nietzsche] |
24116 | Justice says people are not equal, and should become increasingly unequal [Nietzsche] |
24098 | Reasons that justify punishment can also justify the crime [Nietzsche] |
24118 | Do away with punishment. Counter-retribution is as bad as the crime [Nietzsche] |
24100 | If you don't want war, remove your borders; but you set up borders because you want war [Nietzsche] |
222 | Only a great person can understand the essence of things, and an even greater person can teach it [Plato] |
24095 | Our growth is too subtle to perceive, and long events are too slow for us to grasp [Nietzsche] |
225 | The unlimited has no shape and is endless [Plato] |
233 | Some things do not partake of the One [Plato] |
2062 | The only movement possible for the One is in space or in alteration [Plato] |
231 | Everything partakes of the One in some way [Plato] |
24096 | Unlike time, space is subjective. Empty space was assumed, but it doesn't exist [Nietzsche] |
24122 | Life is forces conjoined by nutrition, to produce resistance, arrangement and value [Nietzsche] |
234 | We couldn't discuss the non-existence of the One without knowledge of it [Plato] |