60 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] |
14887 | You should only develop a philosophy if you are willing to live by it [Nietzsche] |
14885 | The first aim of a philosopher is a life, not some works [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] |
15413 | With four tense operators, all complex tenses reduce to fourteen basic cases [Burgess] |
15415 | The temporal Barcan formulas fix what exists, which seems absurd [Burgess] |
15430 | Is classical logic a part of intuitionist logic, or vice versa? [Burgess] |
15431 | It is still unsettled whether standard intuitionist logic is complete [Burgess] |
15429 | Relevance logic's → is perhaps expressible by 'if A, then B, for that reason' [Burgess] |
14880 | Logic is just slavery to language [Nietzsche] |
15404 | Technical people see logic as any formal system that can be studied, not a study of argument validity [Burgess] |
15405 | Classical logic neglects the non-mathematical, such as temporality or modality [Burgess] |
15421 | Classical logic neglects counterfactuals, temporality and modality, because maths doesn't use them [Burgess] |
15427 | The Cut Rule expresses the classical idea that entailment is transitive [Burgess] |
15403 | Philosophical logic is a branch of logic, and is now centred in computer science [Burgess] |
15407 | Formalising arguments favours lots of connectives; proving things favours having very few [Burgess] |
15424 | Asserting a disjunction from one disjunct seems odd, but can be sensible, and needed in maths [Burgess] |
15409 | All occurrences of variables in atomic formulas are free [Burgess] |
15414 | The denotation of a definite description is flexible, rather than rigid [Burgess] |
15406 | 'Induction' and 'recursion' on complexity prove by connecting a formula to its atomic components [Burgess] |
15426 | We can build one expanding sequence, instead of a chain of deductions [Burgess] |
15425 | The sequent calculus makes it possible to have proof without transitivity of entailment [Burgess] |
15408 | 'Tautologies' are valid formulas of classical sentential logic - or substitution instances in other logics [Burgess] |
15418 | Validity (for truth) and demonstrability (for proof) have correlates in satisfiability and consistency [Burgess] |
15411 | We only need to study mathematical models, since all other models are isomorphic to these [Burgess] |
15412 | Models leave out meaning, and just focus on truth values [Burgess] |
15416 | We aim to get the technical notion of truth in all models matching intuitive truth in all instances [Burgess] |
15428 | The Liar seems like a truth-value 'gap', but dialethists see it as a 'glut' [Burgess] |
14869 | If some sort of experience is at the root of matter, then human knowledge is close to its essence [Nietzsche] |
15420 | De re modality seems to apply to objects a concept intended for sentences [Burgess] |
15417 | Logical necessity has two sides - validity and demonstrability - which coincide in classical logic [Burgess] |
15419 | General consensus is S5 for logical modality of validity, and S4 for proof [Burgess] |
15423 | It is doubtful whether the negation of a conditional has any clear meaning [Burgess] |
15422 | Three conditionals theories: Materialism (material conditional), Idealism (true=assertable), Nihilism (no truth) [Burgess] |
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] |
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] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
14865 | We do not know the nature of one single causality [Nietzsche] |
14871 | Laws of nature are merely complex networks of relations [Nietzsche] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
14864 | The Greeks lack a normative theology: each person has their own poetic view of things [Nietzsche] |