60 ideas
23183 | Different abilities are needed for living in an incomplete and undogmatic system [Nietzsche] |
23188 | Bad writers use shapeless floating splotches of concepts [Nietzsche] |
23212 | A text has many interpretations, but no 'correct' one [Nietzsche] |
23199 | What is the search for truth if it isn't moral? [Nietzsche] |
23202 | Like all philosophers, I love truth [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] |
23196 | Logic is a fiction, which invents the view that one thought causes another [Nietzsche] |
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] |
23186 | Numbers enable us to manage the world - to the limits of counting [Nietzsche] |
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] |
10025 | Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes] |
8683 | Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend] |
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] |
23211 | Events are just interpretations of groups of appearances [Nietzsche] |
12033 | An object is identical with itself, and no different indiscernible object can share that [Russell/Whitehead, by Adams,RM] |
23201 | The 'I' does not think; it is a construction of thinking, like other useful abstractions [Nietzsche] |
23207 | Appearance is the sole reality of things, to which all predicates refer [Nietzsche] |
10040 | Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel] |
23197 | Memory is essential, and is only possible by means of abbreviation signs [Nietzsche] |
23206 | Schematic minds think thoughts are truer if they slot into a scheme [Nietzsche] |
23209 | Each of our personal drives has its own perspective [Nietzsche] |
23184 | The mind is a simplifying apparatus [Nietzsche] |
23190 | Consciousness is our awareness of our own mental life [Nietzsche] |
23191 | Minds have an excluding drive to scare things off, and a selecting one to filter facts [Nietzsche] |
23213 | The greatest drive of life is to discharge strength, rather than preservation [Nietzsche] |
23210 | That all events are necessary does not mean they are compelled [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] |
23189 | Concepts are rough groups of simultaneous sensations [Nietzsche] |
23192 | Concepts dont match one thing, but many things a little bit [Nietzsche] |
23187 | Whatever their origin, concepts survive by being useful [Nietzsche] |
23205 | Thought starts as ambiguity, in need of interpretation and narrowing [Nietzsche] |
23453 | Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead] |
23198 | Aesthetics can be more basic than morality, in our pleasure in certain patterns of experience [Nietzsche] |
23208 | Caesar and Napoleon point to the future, when they pursue their task regardless of human sacrifice [Nietzsche] |
23193 | Napoleon was very focused, and rightly ignored compassion [Nietzsche] |
23214 | For the strongest people, nihilism gives you wings! [Nietzsche] |
23203 | The great question is approaching, of how to govern the earth as a whole [Nietzsche] |
23200 | The controlling morality of aristocracy is the desire to resemble their ancestors [Nietzsche] |
23194 | People feel united as a nation by one language, but then want a common ancestry and history [Nietzsche] |
23204 | To be someone you need property, and wanting more is healthy [Nietzsche] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
23195 | Laws of nature are actually formulas of power relations [Nietzsche] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
23185 | In chemistry every substance pushes, and thus creates new substances [Nietzsche] |