51 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] |
| 10888 | Sets can be defined by 'enumeration', or by 'abstraction' (based on a property) [Zalabardo] |
| 10889 | The 'Cartesian Product' of two sets relates them by pairing every element with every element [Zalabardo] |
| 10890 | A 'partial ordering' is reflexive, antisymmetric and transitive [Zalabardo] |
| 10886 | Determinacy: an object is either in a set, or it isn't [Zalabardo] |
| 10887 | Specification: Determinate totals of objects always make a set [Zalabardo] |
| 10897 | A first-order 'sentence' is a formula with no free variables [Zalabardo] |
| 10893 | Γ |= φ for sentences if φ is true when all of Γ is true [Zalabardo] |
| 10899 | Γ |= φ if φ is true when all of Γ is true, for all structures and interpretations [Zalabardo] |
| 23196 | Logic is a fiction, which invents the view that one thought causes another [Nietzsche] |
| 10896 | Propositional logic just needs ¬, and one of ∧, ∨ and → [Zalabardo] |
| 10898 | The semantics shows how truth values depend on instantiations of properties and relations [Zalabardo] |
| 10902 | We can do semantics by looking at given propositions, or by building new ones [Zalabardo] |
| 10892 | We make a truth assignment to T and F, which may be true and false, but merely differ from one another [Zalabardo] |
| 10895 | 'Logically true' (|= φ) is true for every truth-assignment [Zalabardo] |
| 10900 | Logically true sentences are true in all structures [Zalabardo] |
| 10894 | A sentence-set is 'satisfiable' if at least one truth-assignment makes them all true [Zalabardo] |
| 10901 | Some formulas are 'satisfiable' if there is a structure and interpretation that makes them true [Zalabardo] |
| 10903 | A structure models a sentence if it is true in the model, and a set of sentences if they are all true in the model [Zalabardo] |
| 23186 | Numbers enable us to manage the world - to the limits of counting [Nietzsche] |
| 10891 | If a set is defined by induction, then proof by induction can be applied to it [Zalabardo] |
| 23211 | Events are just interpretations of groups of appearances [Nietzsche] |
| 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] |
| 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] |
| 3061 | Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius] |
| 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] |
| 23189 | Concepts are rough groups of simultaneous sensations [Nietzsche] |
| 23192 | Concepts don’t 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] |
| 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] |
| 23195 | Laws of nature are actually formulas of power relations [Nietzsche] |
| 23185 | In chemistry every substance pushes, and thus creates new substances [Nietzsche] |