141 ideas
| 15357 | Philosophy is the most general intellectual discipline [Horsten] |
| 5082 | Reason grasps generalities, while the senses grasp particulars [Aristotle] |
| 15352 | A definition should allow the defined term to be eliminated [Horsten] |
| 15324 | Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten] |
| 15323 | Truth is a property, because the truth predicate has an extension [Horsten] |
| 15374 | Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten] |
| 15348 | Propositions have sentence-like structures, so it matters little which bears the truth [Horsten] |
| 15333 | Modern correspondence is said to be with the facts, not with true propositions [Horsten] |
| 15337 | The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten] |
| 15334 | The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten] |
| 15336 | The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten] |
| 15354 | Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten] |
| 15340 | Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten] |
| 15345 | Semantic theories have a regress problem in describing truth in the languages for the models [Horsten] |
| 15373 | Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten] |
| 15332 | 'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten] |
| 15346 | Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten] |
| 15361 | A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten] |
| 15371 | An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten] |
| 15350 | The Naďve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten] |
| 15351 | Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten] |
| 15367 | By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten] |
| 15330 | Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten] |
| 15331 | Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten] |
| 15325 | Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten] |
| 15344 | Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten] |
| 15356 | Deflationism concerns the nature and role of truth, but not its laws [Horsten] |
| 15368 | This deflationary account says truth has a role in generality, and in inference [Horsten] |
| 15358 | Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten] |
| 15359 | Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten] |
| 15329 | Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten] |
| 13270 | Are a part and whole one or many? Either way, what is the cause? [Aristotle] |
| 15326 | Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten] |
| 15341 | Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten] |
| 15328 | A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten] |
| 15349 | It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten] |
| 15366 | Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten] |
| 15353 | The first incompleteness theorem means that consistency does not entail soundness [Horsten] |
| 15355 | Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten] |
| 9790 | Geometry studies naturally occurring lines, but not as they occur in nature [Aristotle] |
| 22962 | Two is the least number, but there is no least magnitude, because it is always divisible [Aristotle] |
| 15364 | English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten] |
| 18090 | Without infinity time has limits, magnitudes are indivisible, and numbers come to an end [Aristotle] |
| 22929 | Aristotle's infinity is a property of the counting process, that it has no natural limit [Aristotle, by Le Poidevin] |
| 22930 | Lengths do not contain infinite parts; parts are created by acts of division [Aristotle, by Le Poidevin] |
| 18833 | A continuous line cannot be composed of indivisible points [Aristotle] |
| 15360 | ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten] |
| 15369 | Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten] |
| 9974 | Ten sheep and ten dogs are the same numerically, but it is not the same ten [Aristotle] |
| 15370 | Predicativism says mathematical definitions must not include the thing being defined [Horsten] |
| 5105 | The incommensurability of the diagonal always exists, and so it is not in time [Aristotle] |
| 16115 | Change is the implied actuality of that which exists potentially [Aristotle] |
| 22960 | The sophists thought a man in the Lyceum is different from that man in the marketplace [Aristotle] |
| 17262 | Aristotle's formal and material 'becauses' [aitiai] arguably involve grounding [Aristotle, by Correia/Schnieder] |
| 15338 | We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten] |
| 15362 | If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten] |
| 15363 | In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten] |
| 16656 | The separation from here to there is not the same as the separation from there to here [Aristotle] |
| 16644 | The features of a thing (whether quality or quantity) are inseparable from their subjects [Aristotle] |
| 5117 | Heavy and light are defined by their tendency to move down or up [Aristotle] |
| 17041 | Natural objects include animals and their parts, plants, and the simple elements [Aristotle] |
| 16172 | Substance is not predicated of anything - but it still has something underlying it, that originates it [Aristotle] |
| 16623 | We only infer underlying natures by analogy, observing bronze of a statue, or wood of a bed [Aristotle] |
| 16174 | A nature is related to a substance as shapeless matter is to something which has a shape [Aristotle] |
| 17043 | Form, not matter, is a thing's nature, because it is actual, rather than potential [Aristotle] |
| 16970 | A thing's form and purpose are often the same, and form can be the initiator of change too [Aristotle] |
| 16104 | Unity of the form is just unity of the definition [Aristotle] |
| 11255 | In feature-generation the matter (such as bronze) endures, but in generation it doesn't [Aristotle, by Politis] |
| 9071 | We first sense whole entities, and then move to particular parts of it [Aristotle] |
| 16791 | There is no whole except for the parts [Aristotle] |
| 16972 | The four explanations are the main aspects of a thing's nature [Aristotle, by Moravcsik] |
| 5084 | A thing's nature is what causes its changes and stability [Aristotle] |
| 16173 | Coming to be is by shape-change, addition, subtraction, composition or alteration [Aristotle] |
| 17042 | Natural things are their own source of stability through change [Aristotle] |
| 16691 | A day, or the games, has one thing after another, actually and potentially occurring [Aristotle] |
| 16574 | Coming-to-be may be from nothing in a qualified way, as arising from an absence [Aristotle] |
| 11254 | Matter is potentiality [Aristotle, by Politis] |
| 13110 | Intrinsic cause is prior to coincidence, so nature and intelligence are primary causes, chance secondary [Aristotle] |
| 13106 | Maybe there is no pure chance; a man's choices cause his chance meetings [Aristotle] |
| 13108 | Chance is a coincidental cause among events involving purpose and choice [Aristotle] |
| 15372 | Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten] |
| 8331 | To know something we need understanding, which is grasp of the primary cause [Aristotle] |
| 5080 | We know a thing if we grasp its first causes, principles and basic elements [Aristotle] |
| 16969 | Science refers the question Why? to four causes/explanations: matter, form, source, purpose [Aristotle] |
| 11250 | Four Explanations: the essence and form; the matter; the source; and the end [Aristotle, by Politis] |
| 12045 | Aristotle's four 'causes' are four items which figure in basic explanations of nature [Aristotle, by Annas] |
| 16968 | There are as many causes/explanations as there are different types of why-question [Aristotle] |
| 13109 | Chance is inexplicable, because we can only explain what happens always or usually [Aristotle] |
| 9789 | You can't abstract natural properties to make Forms - objects and attributes are defined together [Aristotle] |
| 9788 | Mathematicians study what is conceptually separable, and doesn't lead to error [Aristotle] |
| 15347 | A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten] |
| 5107 | Predicates are substance, quality, place, relation, quantity and action or affection [Aristotle] |
| 22307 | Propositions don't name facts, because two opposed propositions can match one fact [Russell] |
| 20042 | We assign the cause of someone's walking when we say why they are doing it [Aristotle] |
| 5110 | Goodness is when a thing (such as a circle) is complete, and conforms with its nature [Aristotle] |
| 5111 | All moral virtue is concerned with bodily pleasure and pain [Aristotle] |
| 5092 | Nature is a principle of change, so we must understand change first [Aristotle] |
| 5113 | Nothing natural is disorderly, because nature is responsible for all order [Aristotle] |
| 5085 | 'Nature' refers to two things - form and matter [Aristotle] |
| 5089 | Nature has purpose, and aims at what is better. Is it coincidence that crops grow when it rains? [Aristotle] |
| 5086 | The nature of a thing is its end and purpose [Aristotle] |
| 5087 | A thing's purpose is ambiguous, and from one point of view we ourselves are ends [Aristotle] |
| 5091 | Teeth and crops are predictable, so they cannot be mere chance, but must have a purpose [Aristotle] |
| 5108 | Is ceasing-to-be unnatural if it happens by force, and natural otherwise? [Aristotle] |
| 5093 | Continuity depends on infinity, because the continuous is infinitely divisible [Aristotle] |
| 5095 | The heavens seem to be infinite, because we cannot imagine their end [Aristotle] |
| 16762 | Matter desires form, as female desires male, and ugliness desires beauty [Aristotle] |
| 17464 | When Aristotle's elements compound they are stable, so why would they ever separate? [Weisberg/Needham/Hendry on Aristotle] |
| 11252 | The 'form' of a thing explains why the matter constitutes that particular thing [Aristotle, by Politis] |
| 11253 | A 'material' cause/explanation is the form of whatever is the source [Aristotle, by Politis] |
| 13107 | Causes produce a few things in their own right, and innumerable things coincidentally [Aristotle] |
| 8332 | The four causes are the material, the form, the source, and the end [Aristotle] |
| 9787 | Scientists must know the essential attributes of the things they study [Aristotle] |
| 20063 | Motion fulfils potentiality [Aristotle] |
| 5114 | If movement can arise within an animal, why can't it also arise in the universe? [Aristotle] |
| 5116 | When there is unnatural movement (e.g. fire going downwards) the cause is obvious [Aristotle] |
| 5099 | The universe as a whole is not anywhere [Aristotle] |
| 5097 | If everything has a place, this causes an infinite regress, because each place must have place [Aristotle] |
| 5098 | Place is not shape, or matter, or extension between limits; it is the limits of a body [Aristotle] |
| 20920 | If there were many cosmoses, each would have its own time, giving many times [Aristotle] |
| 5106 | Would there be time if there were no mind? [Aristotle] |
| 22967 | It is unclear whether time depends on the existence of soul [Aristotle] |
| 8590 | Time does not exist without change [Aristotle] |
| 22965 | Time measures rest, as well as change [Aristotle] |
| 22885 | For Aristotle time is not a process but a means for measuring processes [Aristotle, by Bardon] |
| 22959 | Time is not change, but the number we associate with change [Aristotle] |
| 22964 | Change only exists in time through its being temporally measure [Aristotle] |
| 5104 | Time is an aspect of change [Aristotle] |
| 22956 | How can time exist, when it is composed of what has ceased to be and is yet to be? [Aristotle] |
| 5102 | If all of time has either ceased to exist, or has not yet happened, maybe time does not exist [Aristotle] |
| 5103 | Time is not change, but requires change in our minds to be noticed [Aristotle] |
| 22961 | The present moment is obviously a necessary feature of time [Aristotle] |
| 22916 | Unlike time, change goes at different rates, and is usually localised [Aristotle, by Le Poidevin] |
| 16693 | Time has parts, but the now is not one of them, and time is not composed of nows [Aristotle] |
| 22958 | Nows can't be linked together, any more than points on a line [Aristotle] |
| 22968 | Circular motion is the most obvious measure of time, and especially the celestial sphere [Aristotle] |
| 22963 | We measure change by time, and time by change, as they are interdefined [Aristotle] |
| 22966 | The present moment is a link (of past to future), and also a limit (of past and of future) [Aristotle] |
| 22957 | We can't tell whether the changing present moment is one thing, or a succession of things [Aristotle] |
| 5083 | Do things come to be from what is, or from what is not? Both seem problematical. [Aristotle] |
| 5119 | The source of all movement must be indivisible and have no magnitude [Aristotle] |