62 ideas
20121 | Grammar only reveals popular metaphysics [Nietzsche] |
24082 | Is the will to truth the desire to avoid deception? [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] |
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] |
20360 | We Germans value becoming and development more highly than mere being of what 'is' [Nietzsche] |
24077 | Necessity is thought to require an event, but is only an after-effect of the event [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] |
20126 | The strength of knowledge is not its truth, but its entrenchment in our culture [Nietzsche] |
20119 | We became increasingly conscious of our sense impressions in order to communicate them [Nietzsche] |
20122 | We have no organ for knowledge or truth; we only 'know' what is useful to the human herd [Nietzsche] |
4423 | We assume causes, geometry, motion, bodies etc to live, but they haven't been proved [Nietzsche] |
6579 | Nietzsche's perspectivism says our worldview depends on our personality [Nietzsche, by Fogelin] |
24083 | It would be absurd to say we are only permitted our own single perspective [Nietzsche] |
20115 | All of our normal mental life could be conducted without consciousness [Nietzsche] |
20117 | Only the need for communication has led to consciousness developing [Nietzsche] |
20118 | Only our conscious thought is verbal, and this shows the origin of consciousness [Nietzsche] |
20116 | Most of our lives, even the important parts, take place outside of consciousness [Nietzsche] |
20120 | Whatever moves into consciousness becomes thereby much more superficial [Nietzsche] |
2932 | 'Know thyself' is impossible and ridiculous [Nietzsche] |
24078 | Thoughts cannot be fully reproduced in words [Nietzsche] |
24081 | Most of our intellectual activity is unconscious [Nietzsche] |
2933 | Why do you listen to the voice of your conscience? [Nietzsche] |
20141 | Higher human beings see and hear far more than others, and do it more thoughtfully [Nietzsche] |
24076 | A morality ranks human drives and actions, for the sake of the herd, and subordinating individuals [Nietzsche] |
22471 | Nietzsche thought it 'childish' to say morality isn't binding because it varies between cultures [Nietzsche, by Foot] |
15998 | Perfect love is not in spite of imperfections; the imperfections must be loved as well [Kierkegaard] |
2935 | No two actions are the same [Nietzsche] |
20198 | Many virtues are harmful traps, but that is why other people praise them [Nietzsche] |
4275 | You cannot advocate joyful wisdom while rejecting pity, because the two are complementary [Scruton on Nietzsche] |
2934 | To see one's own judgement as a universal law is selfish [Nietzsche] |
24080 | We should give style to our character - by applying an artistic plan to its strengths and weaknesses [Nietzsche] |
20125 | The ethical teacher exists to give purpose to what happens necessarily and without purpose [Nietzsche] |
9306 | To ward off boredom at any cost is vulgar [Nietzsche] |
24079 | The best life is the dangerous life [Nietzsche] |
2936 | Imagine if before each of your actions you had to accept repeating the action over and over again [Nietzsche] |
6842 | Nietzsche says facing up to the eternal return of meaninglessness is the response to nihilism [Nietzsche, by Critchley] |
2931 | God is dead, and we have killed him [Nietzsche] |