48 ideas
20768 | Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius] |
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] |
21122 | Liberal Nationalism says welfare states and democracy needed a shared sense of nationality [Shorten] |
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] |
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] |
21136 | Utilitarians conflate acts and omissions; causing to drown and failing to save are the same [Shorten] |
3049 | The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius] |
3549 | Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas] |
21135 | There are eight different ways in which groups of people can be oppressed [Shorten, by PG] |
21118 | Constitutional Patriotism unites around political values (rather than national identity) [Shorten] |
21129 | Democracy is a method of selection, or it involves participation, or it concerns public discussion [Shorten] |
21130 | Some say democracy is intrinsically valuable, others that it delivers good outcomes [Shorten] |
21126 | Representative should be either obedient, or sensible, or typical [Shorten] |
21128 | There is 'mirror representation' when the institution statistically reflects the population [Shorten] |
21127 | In a changed situation a Mandated Representative can't keep promises and fight for constituents [Shorten] |
21117 | Liberal citizens have a moral requirement to respect freedom and equality [Shorten] |
21134 | Maybe the rational autonomous liberal individual is merely the result of domination [Shorten] |
21113 | Liberal equality concerns rights, and liberal freedom concerns choice of ends [Shorten] |
21121 | Liberal Nationalism encourages the promotion of nationalistic values [Shorten] |
21115 | Liberalism should not make assumptions such as the value of choosing your own life plan [Shorten] |
21114 | Liberals treat individuals as mutual strangers, rather than as social beings [Shorten] |
21123 | Liberal Nationalism is more communitarian, and Constitutional Patriotism more cosmopolitan [Shorten] |
21124 | Religious toleration has been institutionalised by the separation of church and state [Shorten] |