60 ideas
| 24146 | All the major problems were formulated before Socrates [Nietzsche] |
| 24142 | What matters is how humans can be developed [Nietzsche] |
| 24143 | Thinkers might agree some provisional truths, as methodological assumptions [Nietzsche] |
| 24125 | Aristotle enjoyed the sham generalities of a system, as the peak of happiness! [Nietzsche] |
| 24147 | Thoughts are uncertain, and are just occasions for interpretation [Nietzsche] |
| 9542 | The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell] |
| 21720 | Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead] |
| 10044 | Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro] |
| 18208 | We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead] |
| 8204 | Lewis's 'strict implication' preserved Russell's confusion of 'if...then' with implication [Quine on Russell/Whitehead] |
| 9359 | Russell's implication means that random sentences imply one another [Lewis,CI on Russell/Whitehead] |
| 21707 | Russell unusually saw logic as 'interpreted' (though very general, and neutral) [Russell/Whitehead, by Linsky,B] |
| 24137 | Mathematics is just accurate inferences from definitions, and doesn't involve objects [Nietzsche] |
| 10036 | In 'Principia' a new abstract theory of relations appeared, and was applied [Russell/Whitehead, by Gödel] |
| 18248 | A real number is the class of rationals less than the number [Russell/Whitehead, by Shapiro] |
| 18152 | Russell takes numbers to be classes, but then reduces the classes to numerical quantifiers [Russell/Whitehead, by Bostock] |
| 8683 | Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend] |
| 10025 | Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes] |
| 10037 | 'Principia' lacks a precise statement of the syntax [Gödel on Russell/Whitehead] |
| 10093 | The ramified theory of types used propositional functions, and covered bound variables [Russell/Whitehead, by George/Velleman] |
| 8691 | The Russell/Whitehead type theory was limited, and was not really logic [Friend on Russell/Whitehead] |
| 10305 | In 'Principia Mathematica', logic is exceeded in the axioms of infinity and reducibility, and in the domains [Bernays on Russell/Whitehead] |
| 8684 | Russell and Whitehead consider the paradoxes to indicate that we create mathematical reality [Russell/Whitehead, by Friend] |
| 8746 | To avoid vicious circularity Russell produced ramified type theory, but Ramsey simplified it [Russell/Whitehead, by Shapiro] |
| 18933 | Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius] |
| 24131 | There is no 'being'; it is just the opposition to nothingness [Nietzsche] |
| 24151 | I only want thinking that is anchored in body, senses and earth [Nietzsche] |
| 12033 | An object is identical with itself, and no different indiscernible object can share that [Russell/Whitehead, by Adams,RM] |
| 24150 | We can only understand through concepts, which subsume particulars in generalities [Nietzsche] |
| 24138 | Strongly believed a priori is not certain; it may just be a feature of our existence [Nietzsche] |
| 24130 | An affirmative belief is present in every basic sense impression [Nietzsche] |
| 10040 | Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel] |
| 24124 | We now have innumerable perspectives to draw on [Nietzsche] |
| 24145 | Mind is a mechanism of abstraction and simplification, aimed at control [Nietzsche] |
| 24144 | A cognitive mechanism wanting to know itself is absurd! [Nietzsche] |
| 24139 | A 'person' is just one possible abstraction from a bundle of qualities [Nietzsche] |
| 24133 | I have perfected fatalism, as recurrence and denial of the will [Nietzsche] |
| 24152 | Fate is inspiring, if you understand you are part of it [Nietzsche] |
| 21725 | The multiple relations theory says assertions about propositions are about their ingredients [Russell/Whitehead, by Linsky,B] |
| 23474 | A judgement is a complex entity, of mind and various objects [Russell/Whitehead] |
| 23455 | The meaning of 'Socrates is human' is completed by a judgement [Russell/Whitehead] |
| 23480 | The multiple relation theory of judgement couldn't explain the unity of sentences [Morris,M on Russell/Whitehead] |
| 18275 | Only the act of judging completes the meaning of a statement [Russell/Whitehead] |
| 24129 | We start with images, then words, and then concepts, to which emotions attach [Nietzsche] |
| 23453 | Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead] |
| 9866 | Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato] |
| 5864 | Destroy seriousness with laughter, and laughter with seriousness [Gorgias] |
| 24127 | Judging actions by intentions - like judging painters by their thoughts! [Nietzsche] |
| 24149 | Values need a perspective, of preserving some aspect of life [Nietzsche] |
| 24148 | If you love something, it is connected with everything, so all must be affirmed as good [Nietzsche] |
| 24135 | Egoism should not assume that all egos are equal [Nietzsche] |
| 24132 | After Socrates virtue is misunderstood, as good for all, not for individuals [Nietzsche] |
| 24126 | We contain multitudes of characters, which can brought into the open [Nietzsche] |
| 24136 | Who can endure the thought of eternal recurrence? [Nietzsche] |
| 24154 | If you want one experience repeated, you must want all of them [Nietzsche] |
| 24153 | Humans are determined by community, so its preservation is their most valued drive [Nietzsche] |
| 24134 | There is always slavery, whether we like it or not [Nietzsche] |
| 24128 | After history following God, or a people, or an idea, we now see it in terms of animals [Nietzsche] |
| 24140 | Cause and effect is a hypothesis, based on our supposed willing of actions [Nietzsche] |
| 24141 | Having a sense of time presupposes absolute time [Nietzsche] |