62 ideas
14480 | Maybe analytic truths do not require truth-makers, as they place no demands on the world [Thomasson] |
10170 | While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price] |
10166 | ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price] |
14471 | Analytical entailments arise from combinations of meanings and inference rules [Thomasson] |
10175 | Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price] |
10165 | 'Analysis' is the theory of the real numbers [Reck/Price] |
21382 | Things get smaller without end [Anaxagoras] |
10174 | Mereological arithmetic needs infinite objects, and function definitions [Reck/Price] |
10164 | Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price] |
10172 | Set-theory gives a unified and an explicit basis for mathematics [Reck/Price] |
10167 | Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price] |
10169 | Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price] |
10179 | There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price] |
10181 | Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price] |
10182 | There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price] |
10168 | Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price] |
10178 | Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price] |
10176 | Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price] |
10177 | Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price] |
10171 | The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price] |
481 | Nothing is created or destroyed; there is only mixing and separation [Anaxagoras] |
21822 | Anaxagoras's concept of supreme Mind has a simple First and a multiple One [Anaxagoras, by Plotinus] |
14493 | Existence might require playing a role in explanation, or in a causal story, or being composed in some way [Thomasson] |
17995 | Basic is the potentially perceptible, then comes the contrary qualities, and finally the 'elements' [Anaxagoras] |
14491 | Rival ontological claims can both be true, if there are analytic relationships between them [Thomasson] |
14489 | Theories do not avoid commitment to entities by avoiding certain terms or concepts [Thomasson] |
10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
14485 | Ordinary objects may be not indispensable, but they are nearly unavoidable [Thomasson] |
14487 | The simple existence conditions for objects are established by our practices, and are met [Thomasson] |
21651 | It is analytic that if simples are arranged chair-wise, then there is a chair [Thomasson, by Hofweber] |
14467 | Ordinary objects are rejected, to avoid contradictions, or for greater economy in thought [Thomasson] |
14479 | To individuate people we need conventions, but conventions are made up by people [Thomasson] |
14486 | Eliminativists haven't found existence conditions for chairs, beyond those of the word 'chair' [Thomasson] |
14481 | Wherever an object exists, there are intrinsic properties instantiating every modal profile [Thomasson] |
14482 | If the statue and the lump are two objects, they require separate properties, so we could add their masses [Thomasson] |
14483 | Given the similarity of statue and lump, what could possibly ground their modal properties? [Thomasson] |
14476 | Identity claims between objects are only well-formed if the categories are specified [Thomasson] |
14477 | Identical entities must be of the same category, and meet the criteria for the category [Thomasson] |
14478 | Modal Conventionalism says modality is analytic, not intrinsic to the world, and linguistic [Thomasson] |
20802 | Snow is not white, and doesn't even appear white, because it is made of black water [Anaxagoras, by Cicero] |
13257 | The senses are too feeble to determine the truth [Anaxagoras] |
14466 | A chief task of philosophy is making reflective sense of our common sense worldview [Thomasson] |
22761 | We reveal unreliability in the senses when we cannot discriminate a slow change of colour [Anaxagoras, by Sext.Empiricus] |
13256 | Nous is unlimited, self-ruling and pure; it is the finest thing, with great discernment and strength [Anaxagoras] |
13784 | Mind is self-ruling, pure, ordering and ubiquitous [Anaxagoras, by Plato] |
5118 | Anaxagoras says mind remains pure, and so is not affected by what it changes [Anaxagoras, by Aristotle] |
14475 | How can causal theories of reference handle nonexistence claims? [Thomasson] |
14474 | Pure causal theories of reference have the 'qua problem', of what sort of things is being referred to [Thomasson] |
14488 | Analyticity is revealed through redundancy, as in 'He bought a house and a building' [Thomasson] |
18231 | Anaxagoras said a person would choose to be born to contemplate the ordered heavens [Anaxagoras] |
631 | For Anaxagoras the Good Mind has no opposite, and causes all movement, for a higher reason [Anaxagoras, by Aristotle] |
22727 | Mind creates the world from a mixture of pure substances [Anaxagoras, by ] |
550 | Anaxagoras said that the number of principles was infinite [Anaxagoras, by Aristotle] |
21383 | The ultimate constituents of reality are the homoeomeries [Anaxagoras, by Vlastos] |
13208 | Anaxagoreans regard the homoeomeries as elements, which compose earth, air, fire and water [Anaxagoras, by Aristotle] |
367 | Anaxagoras says mind produces order and causes everything [Anaxagoras, by Plato] |
21381 | Germs contain microscopic organs, which become visible as they grow [Anaxagoras] |
22726 | When things were unified, Mind set them in order [Anaxagoras] |
2629 | Anaxagoras was the first to say that the universe is directed by an intelligence [Anaxagoras, by Cicero] |
480 | Past, present and future, and the movements of the heavens, were arranged by Mind [Anaxagoras] |
7488 | Anaxagoras was the first recorded atheist [Anaxagoras, by Watson] |
5956 | Anaxagoras was charged with impiety for calling the sun a lump of stone [Anaxagoras, by Plutarch] |