54 ideas
23247 | The need to act produces consciousness, and practical reason is the root of all reason [Fichte] |
23232 | Sufficient reason makes the transition from the particular to the general [Fichte] |
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] |
23227 | Each object has a precise number of properties, each to a precise degree [Fichte] |
23228 | The principle of activity and generation is found in a self-moving basic force [Fichte] |
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] |
23241 | I am myself, but not the external object; so I only sense myself, and not the object [Fichte] |
21966 | Self-consciousness is the basis of knowledge, and knowing something is knowing myself [Fichte] |
21967 | There is nothing to say about anything which is outside my consciousness [Fichte] |
21969 | Awareness of reality comes from the free activity of consciousness [Fichte] |
23231 | I immediately know myself, and anything beyond that is an inference [Fichte] |
23246 | Faith is not knowledge; it is a decision of the will [Fichte] |
23245 | Knowledge can't be its own foundation; there has to be regress of higher and higher authorities [Fichte] |
23242 | Consciousness has two parts, passively receiving sensation, and actively causing productions [Fichte] |
23240 | We can't know by sight or hearing without realising that we are doing so [Fichte] |
23243 | Consciousness of external things is always accompanied by an unnoticed consciousness of self [Fichte] |
23237 | The capacity for freedom is above the laws of nature, with its own power of purpose and will [Fichte] |
23244 | Forming purposes is absolutely free, and produces something from nothing [Fichte] |
23235 | I want independent control of the fundamental cause of my decisions [Fichte] |
23230 | Nature contains a fundamental force of thought [Fichte] |
23233 | The will is awareness of one of our inner natural forces [Fichte] |
23234 | I cannot change the nature which has been determined for me [Fichte] |
23239 | The self is, apart from outward behaviour, a drive in your nature [Fichte] |
23238 | If life lacks love it becomes destruction [Fichte] |
23236 | Freedom means making yourself become true to your essential nature [Fichte] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
23229 | Nature is wholly interconnected, and the tiniest change affects everything [Fichte] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |