63 ideas
6200 | Wisdom is knowing the highest good, and conforming the will to it [Kant] |
6207 | What fills me with awe are the starry heavens above me and the moral law within me [Kant] |
6184 | Consistency is the highest obligation of a philosopher [Kant] |
6203 | Metaphysics is just a priori universal principles of physics [Kant] |
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] |
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] |
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] |
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] |
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] |
6181 | Necessity cannot be extracted from an empirical proposition [Kant] |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
6183 | Can pure reason determine the will, or are empirical conditions relevant? [Kant] |
6191 | The will is the faculty of purposes, which guide desires according to principles [Kant] |
6190 | The sole objects of practical reason are the good and the evil [Kant] |
18235 | Only human reason can confer value on our choices [Kant, by Korsgaard] |
6196 | People cannot come to morality through feeling, because morality must not be sensuous [Kant] |
18675 | Kant may rate two things as finally valuable: having a good will, and deserving happiness [Orsi on Kant] |
22007 | An autonomous agent has dignity [Würde], which has absolute worth [Kant, by Pinkard] |
18234 | The good will is unconditionally good, because it is the only possible source of value [Kant, by Korsgaard] |
6192 | Good or evil cannot be a thing, but only a maxim of action, making the person good or evil [Kant] |
6197 | Morality involves duty and respect for law, not love of the outcome [Kant] |
6193 | Our happiness is all that matters, not as a sensation, but as satisfaction with our whole existence [Kant] |
1452 | Happiness is the condition of a rational being for whom everything goes as they wish [Kant] |
1454 | Morality is not about making ourselves happy, but about being worthy of happiness [Kant] |
6194 | The highest worth for human beings lies in dispositions, not just actions [Kant] |
6198 | Virtue is the supreme state of our pursuit of happiness, and so is supreme good [Kant] |
1456 | Moral law is holy, and the best we can do is achieve virtue through respect for the law [Kant] |
6185 | No one would lend money unless a universal law made it secure, even after death [Kant] |
6187 | Universality determines the will, and hence extends self-love into altruism [Kant] |
6201 | Everyone (even God) must treat rational beings as ends in themselves, and not just as means [Kant] |
6186 | A holy will is incapable of any maxims which conflict with the moral law [Kant] |
6195 | Reason cannot solve the problem of why a law should motivate the will [Kant] |
6188 | A permanent natural order could not universalise a rule permitting suicide [Kant] |
6199 | Obligation does not rest on the existence of God, but on the autonomy of reason [Kant] |
1453 | We have to postulate something outside nature which makes happiness coincide with morality [Kant] |
1455 | Belief in justice requires belief in a place for justice (heaven), a time (eternity), and a cause (God) [Kant, by PG] |
6205 | To know if this world must have been created by God, we would need to know all other possible worlds [Kant] |
6204 | Using God to explain nature is referring to something inconceivable to explain what is in front of you [Kant] |
6206 | From our limited knowledge we can infer great virtues in God, but not ultimate ones [Kant] |
6202 | In all naturalistic concepts of God, if you remove the human qualities there is nothing left [Kant] |