82 ideas
| 22659 | It is wisdom to believe what you desire, because belief is needed to achieve it [James] |
| 22657 | All good philosophers start from a dumb conviction about which truths can be revealed [James] |
| 22647 | A complete system is just a classification of the whole world's ingredients [James] |
| 21373 | We become objective when we detach ourselves from the world [Janaway] |
| 22648 | A single explanation must have a single point of view [James] |
| 22642 | Man has an intense natural interest in the consistency of his own thinking [James] |
| 22644 | Our greatest pleasure is the economy of reducing chaotic facts to one single fact [James] |
| 6710 | You can only define a statement that something is 'true' by referring to its functional possibilities [James] |
| 18986 | Truth is just a name for verification-processes [James] |
| 18983 | In many cases there is no obvious way in which ideas can agree with their object [James] |
| 18972 | Ideas are true in so far as they co-ordinate our experiences [James] |
| 18973 | New opinions count as 'true' if they are assimilated to an individual's current beliefs [James] |
| 18984 | True ideas are those we can assimilate, validate, corroborate and verify (and false otherwise) [James] |
| 22305 | If the hypothesis of God is widely successful, it is true [James] |
| 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] |
| 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] |
| 15427 | The Cut Rule expresses the classical idea that entailment is transitive [Burgess] |
| 15421 | Classical logic neglects counterfactuals, temporality and modality, because maths doesn't use them [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] |
| 15425 | The sequent calculus makes it possible to have proof without transitivity of entailment [Burgess] |
| 15426 | We can build one expanding sequence, instead of a chain of deductions [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] |
| 15412 | Models leave out meaning, and just focus on truth values [Burgess] |
| 15411 | We only need to study mathematical models, since all other models are isomorphic to these [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] |
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| 10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
| 10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
| 10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
| 10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
| 10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
| 22641 | Realities just are, and beliefs are true of them [James] |
| 22649 | Classification can only ever be for a particular purpose [James] |
| 18987 | A 'thing' is simply carved out of reality for human purposes [James] |
| 18981 | 'Substance' is just a word for groupings and structures in experience [James] |
| 15420 | De re modality seems to apply to objects a concept intended for sentences [Burgess] |
| 15419 | General consensus is S5 for logical modality of validity, and S4 for proof [Burgess] |
| 15417 | Logical necessity has two sides - validity and demonstrability - which coincide in classical logic [Burgess] |
| 15422 | Three conditionals theories: Materialism (material conditional), Idealism (true=assertable), Nihilism (no truth) [Burgess] |
| 15423 | It is doubtful whether the negation of a conditional has any clear meaning [Burgess] |
| 18974 | Truth is a species of good, being whatever proves itself good in the way of belief [James] |
| 18989 | Pragmatism accepts any hypothesis which has useful consequences [James] |
| 22640 | We find satisfaction in consistency of all of our beliefs, perceptions and mental connections [James] |
| 22655 | Scientific genius extracts more than other people from the same evidence [James] |
| 22658 | Experimenters assume the theory is true, and stick to it as long as result don't disappoint [James] |
| 18971 | Theories are practical tools for progress, not answers to enigmas [James] |
| 18985 | True thoughts are just valuable instruments of action [James] |
| 18982 | Pragmatism says all theories are instrumental - that is, mental modes of adaptation to reality [James] |
| 22654 | We can't know if the laws of nature are stable, but we must postulate it or assume it [James] |
| 22656 | Trying to assess probabilities by mere calculation is absurd and impossible [James] |
| 22646 | We have a passion for knowing the parts of something, rather than the whole [James] |
| 22652 | The mind has evolved entirely for practical interests, seen in our reflex actions [James] |
| 22651 | Dogs' curiosity only concerns what will happen next [James] |
| 9286 | Consciousness is not a stuff, but is explained by the relations between experiences [James] |
| 9285 | 'Consciousness' is a nonentity, a mere echo of the disappearing 'soul' [James] |
| 23981 | Rage is inconceivable without bodily responses; so there are no disembodied emotions [James] |
| 22650 | How can the ground of rationality be itself rational? [James] |
| 22643 | It seems that we feel rational when we detect no irrationality [James] |
| 18975 | We return to experience with concepts, where they show us differences [James] |
| 22660 | Evolution suggests prevailing or survival as a new criterion of right and wrong [James] |
| 6570 | Imagine millions made happy on condition that one person suffers endless lonely torture [James] |
| 22645 | Understanding by means of causes is useless if they are not reduced to a minimum number [James] |
| 18980 | If there is a 'greatest knower', it doesn't follow that they know absolutely everything [James] |
| 18978 | It is hard to grasp a cosmic mind which produces such a mixture of goods and evils [James] |
| 18991 | If the God hypothesis works well, then it is true [James] |
| 18977 | The wonderful design of a woodpecker looks diabolical to its victims [James] |
| 18979 | Things with parts always have some structure, so they always appear to be designed [James] |
| 18976 | Private experience is the main evidence for God [James] |
| 22653 | Early Christianity says God recognises the neglected weak and tender impulses [James] |
| 18990 | Nirvana means safety from sense experience, and hindus and buddhists are just afraid of life [James] |