49 ideas
14888 | Wisdom prevents us from being ruled by the moment [Nietzsche] |
14863 | Unlike science, true wisdom involves good taste [Nietzsche] |
14890 | Suffering is the meaning of existence [Nietzsche] |
14861 | Philosophy ennobles the world, by producing an artistic conception of our knowledge [Nietzsche] |
14885 | The first aim of a philosopher is a life, not some works [Nietzsche] |
14887 | You should only develop a philosophy if you are willing to live by it [Nietzsche] |
14889 | Philosophy is pointless if it does not advocate, and live, a new way of life [Nietzsche] |
14862 | Philosophy is more valuable than much of science, because of its beauty [Nietzsche] |
14878 | It would better if there was no thought [Nietzsche] |
14881 | Why do people want philosophers? [Nietzsche] |
14876 | Philosophy is always secondary, because it cannot support a popular culture [Nietzsche] |
14860 | Kant has undermined our belief in metaphysics [Nietzsche] |
14859 | If philosophy controls science, then it has to determine its scope, and its value [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] |
14880 | Logic is just slavery to language [Nietzsche] |
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] |
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] |
10900 | Logically true sentences are true in all structures [Zalabardo] |
10895 | 'Logically true' (|= φ) is true for every truth-assignment [Zalabardo] |
10901 | Some formulas are 'satisfiable' if there is a structure and interpretation that makes them true [Zalabardo] |
10894 | A sentence-set is 'satisfiable' if at least one truth-assignment makes them all 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] |
10891 | If a set is defined by induction, then proof by induction can be applied to it [Zalabardo] |
14869 | If some sort of experience is at the root of matter, then human knowledge is close to its essence [Nietzsche] |
14875 | Belief matters more than knowledge, and only begins when knowledge ceases [Nietzsche] |
14866 | It always remains possible that the world just is the way it appears [Nietzsche] |
14872 | Our knowledge is illogical, because it rests on false identities between things [Nietzsche] |
14879 | The most extreme scepticism is when you even give up logic [Nietzsche] |
14873 | If we find a hypothesis that explains many things, we conclude that it explains everything [Nietzsche] |
14868 | Our primary faculty is perception of structure, as when looking in a mirror [Nietzsche] |
14870 | We experience causation between willing and acting, and thereby explain conjunctions of changes [Nietzsche] |
14867 | It is just madness to think that the mind is supernatural (or even divine!) [Nietzsche] |
14884 | The shortest path to happiness is forgetfulness, the path of animals (but of little value) [Nietzsche] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
14886 | Education is contrary to human nature [Nietzsche] |
14883 | We should evaluate the past morally [Nietzsche] |
14882 | Protest against vivisection - living things should not become objects of scientific investigation [Nietzsche] |
14865 | We do not know the nature of one single causality [Nietzsche] |
14871 | Laws of nature are merely complex networks of relations [Nietzsche] |
14864 | The Greeks lack a normative theology: each person has their own poetic view of things [Nietzsche] |