60 ideas
| 20121 | Grammar only reveals popular metaphysics [Nietzsche] |
| 24082 | Is the will to truth the desire to avoid deception? [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] |
| 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] |
| 20360 | We Germans value becoming and development more highly than mere being of what 'is' [Nietzsche] |
| 12033 | An object is identical with itself, and no different indiscernible object can share that [Russell/Whitehead, by Adams,RM] |
| 24077 | Necessity is thought to require an event, but is only an after-effect of the event [Nietzsche] |
| 20126 | The strength of knowledge is not its truth, but its entrenchment in our culture [Nietzsche] |
| 20119 | We became increasingly conscious of our sense impressions in order to communicate them [Nietzsche] |
| 10040 | Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel] |
| 20122 | We have no organ for knowledge or truth; we only 'know' what is useful to the human herd [Nietzsche] |
| 4423 | We assume causes, geometry, motion, bodies etc to live, but they haven't been proved [Nietzsche] |
| 6579 | Nietzsche's perspectivism says our worldview depends on our personality [Nietzsche, by Fogelin] |
| 24083 | It would be absurd to say we are only permitted our own single perspective [Nietzsche] |
| 20115 | All of our normal mental life could be conducted without consciousness [Nietzsche] |
| 20117 | Only the need for communication has led to consciousness developing [Nietzsche] |
| 20118 | Only our conscious thought is verbal, and this shows the origin of consciousness [Nietzsche] |
| 20116 | Most of our lives, even the important parts, take place outside of consciousness [Nietzsche] |
| 20120 | Whatever moves into consciousness becomes thereby much more superficial [Nietzsche] |
| 2932 | 'Know thyself' is impossible and ridiculous [Nietzsche] |
| 24078 | Thoughts cannot be fully reproduced in words [Nietzsche] |
| 24081 | Most of our intellectual activity is unconscious [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] |
| 23453 | Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 2933 | Why do you listen to the voice of your conscience? [Nietzsche] |
| 20141 | Higher human beings see and hear far more than others, and do it more thoughtfully [Nietzsche] |
| 24076 | A morality ranks human drives and actions, for the sake of the herd, and subordinating individuals [Nietzsche] |
| 22471 | Nietzsche thought it 'childish' to say morality isn't binding because it varies between cultures [Nietzsche, by Foot] |
| 2935 | No two actions are the same [Nietzsche] |
| 20198 | Many virtues are harmful traps, but that is why other people praise them [Nietzsche] |
| 4275 | You cannot advocate joyful wisdom while rejecting pity, because the two are complementary [Scruton on Nietzsche] |
| 2934 | To see one's own judgement as a universal law is selfish [Nietzsche] |
| 24080 | We should give style to our character - by applying an artistic plan to its strengths and weaknesses [Nietzsche] |
| 20125 | The ethical teacher exists to give purpose to what happens necessarily and without purpose [Nietzsche] |
| 9306 | To ward off boredom at any cost is vulgar [Nietzsche] |
| 24079 | The best life is the dangerous life [Nietzsche] |
| 2936 | Imagine if before each of your actions you had to accept repeating the action over and over again [Nietzsche] |
| 6842 | Nietzsche says facing up to the eternal return of meaninglessness is the response to nihilism [Nietzsche, by Critchley] |
| 2931 | God is dead, and we have killed him [Nietzsche] |