74 ideas
21959 | Metaphysics is the most general attempt to make sense of things [Moore,AW] |
23917 | Contrary statements can both be reasonable, if they are meant in two different ways [Aristotle] |
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] |
5869 | The thesis of the Form of the Good (or of anything else) is verbal and vacuous [Aristotle] |
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] |
22505 | The two right angles of a triangle necessitate that a quadrilateral has four [Aristotle] |
22513 | Knowing is having knowledge; understanding is using knowledge [Aristotle] |
21958 | Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW] |
23906 | Courage from spirit is natural and unconquerable, as seen in the young [Aristotle] |
20204 | Whether the mind has parts is irrelevant, since it obviously has distinct capacities [Aristotle] |
22506 | A man is the cause of what is within his power, and what he causes is in his power [Aristotle] |
22504 | Only a human being can be a starting point for an action [Aristotle] |
22510 | Some emotional states are too strong for human nature [Aristotle] |
23913 | Nearly all the good and bad states of character are concerned with feelings [Aristotle] |
23918 | Akrasia is the clash of two feelings - goodness and pleasure [Aristotle] |
22515 | Choice results when deliberation brings together an opinion with an inclination [Aristotle] |
22508 | Unlike in inanimate things, in animate things actions have more than one starting point [Aristotle] |
22514 | The deliberative part of the soul discerns explanatory causes [Aristotle] |
23319 | We are responsible if our actions reflect our motivation [Aristotle, by Frede,M] |
22507 | An action is voluntary when it is accompanied by thought of some kind [Aristotle] |
22512 | Acts are voluntary if done knowingly, by the agent, and in his power to avoid it [Aristotle] |
22509 | What is natural for us is either there at birth, or appears by normal processes [Aristotle] |
18230 | No one would choose life just for activities not done for their own sake [Aristotle] |
23909 | Wearing a shoe is its intrinsic use, and selling it (as a shoe) is its coincidental use [Aristotle] |
5870 | Everything seeks, not a single good, but its own separate good [Aristotle] |
5877 | We judge people from their deeds because we cannot see their choices (which matter more) [Aristotle] |
5868 | Horses, birds and fish are not happy, lacking a divine aspect to their natures [Aristotle] |
5865 | Happiness involves three things, of which the greatest is either wisdom, virtue, or pleasure [Aristotle] |
5876 | Virtue is different from continence [Aristotle] |
5872 | Excellence is the best state of anything (like a cloak) which has an employment or function [Aristotle] |
5874 | Character virtues (such as courage) are of the non-rational part, which follows the rational part [Aristotle] |
22516 | Character is shown by what is or is not enjoyed, and virtue chooses the mean among them [Aristotle] |
22517 | We judge character not by their actions, but by their reasons for actions [Aristotle] |
5875 | Character (éthos) is developed from habit (ethos) [Aristotle] |
23914 | People sometimes exhibit both extremes together, but the mean is contrary to both of them [Aristotle] |
23911 | Possessors of a virtue tend to despise what reason shows to be its opposite [Aristotle] |
23910 | Greatness of soul produces all the virtues - and vice versa [Aristotle] |
23908 | If someone just looks at or listens to beautiful things, they would not be thought intemperate [Aristotle] |
23905 | Courage follows reason, which tells us to choose what is noble [Aristotle] |
23912 | Honour depends on what it is for, and whether it is bestowed by worthy people [Aristotle] |
5871 | Goods in the soul are more worthy than those outside it, as everybody wants them [Aristotle] |
23920 | Decent people can be friends with base people [Aristotle] |
23919 | Friendship cannot be immediate; it takes time, and needs testing [Aristotle] |
23915 | The main function of politics is to produce friendship [Aristotle] |
23916 | The best cure for mutual injustice is friendship [Aristotle] |
5866 | It is folly not to order one's life around some end [Aristotle] |
5878 | Eyes could be used for a natural purpose, or for unnatural seeing, or for a non-seeing activity [Aristotle] |
5873 | Each thing's function is its end [Aristotle] |