282 ideas
13876 | The syntactic category is primary, and the ontological category is derivative [Frege, by Wright,C] |
8415 | Never lose sight of the distinction between concept and object [Frege] |
9841 | Frege was the first to give linguistic answers to non-linguistic questions [Frege, by Dummett] |
9840 | Frege initiated linguistic philosophy, studying number through the sense of sentences [Frege, by Dummett] |
15948 | Frege developed formal systems to avoid unnoticed assumptions [Frege, by Lavine] |
10804 | Thoughts have a natural order, to which human thinking is drawn [Frege, by Yablo] |
5082 | Reason grasps generalities, while the senses grasp particulars [Aristotle] |
9832 | Frege sees no 'intersubjective' category, between objective and subjective [Dummett on Frege] |
8414 | Keep the psychological and subjective separate from the logical and objective [Frege] |
9844 | Originally Frege liked contextual definitions, but later preferred them fully explicit [Frege, by Dummett] |
9822 | Nothing should be defined in terms of that to which it is conceptually prior [Frege, by Dummett] |
15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
17495 | Proof aims to remove doubts, but also to show the interdependence of truths [Frege] |
8632 | You can't transfer external properties unchanged to apply to ideas [Frege] |
13881 | We need to grasp not number-objects, but the states of affairs which make number statements true [Frege, by Wright,C] |
9154 | Frege agreed with Euclid that the axioms of logic and mathematics are known through self-evidence [Frege, by Burge] |
17608 | We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo] |
17607 | Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo] |
9157 | The null set is only defensible if it is the extension of an empty concept [Frege, by Burge] |
9835 | It is because a concept can be empty that there is such a thing as the empty class [Frege, by Dummett] |
9854 | We can introduce new objects, as equivalence classes of objects already known [Frege, by Dummett] |
9883 | Frege introduced the standard device, of defining logical objects with equivalence classes [Frege, by Dummett] |
10870 | ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg] |
13012 | Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy] |
17609 | Set theory can be reduced to a few definitions and seven independent axioms [Zermelo] |
13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
18104 | Frege, unlike Russell, has infinite individuals because numbers are individuals [Frege, by Bostock] |
13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
9834 | A class is, for Frege, the extension of a concept [Frege, by Dummett] |
13270 | Are a part and whole one or many? Either way, what is the cause? [Aristotle] |
8645 | Convert "Jupiter has four moons" into "the number of Jupiter's moons is four" [Frege] |
16891 | Despite Gödel, Frege's epistemic ordering of all the truths is still plausible [Frege, by Burge] |
16906 | The primitive simples of arithmetic are the essence, determining the subject, and its boundaries [Frege, by Jeshion] |
14236 | Each horse doesn't fall under the concept 'horse that draws the carriage', because all four are needed [Oliver/Smiley on Frege] |
22294 | We can show that a concept is consistent by producing something which falls under it [Frege] |
17624 | To understand axioms you must grasp their logical power and priority [Frege, by Burge] |
9790 | Geometry studies naturally occurring lines, but not as they occur in nature [Aristotle] |
8640 | We cannot define numbers from the idea of a series, because numbers must precede that [Frege] |
13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
22962 | Two is the least number, but there is no least magnitude, because it is always divisible [Aristotle] |
9838 | Treating 0 as a number avoids antinomies involving treating 'nobody' as a person [Frege, by Dummett] |
9564 | For Frege 'concept' and 'extension' are primitive, but 'zero' and 'successor' are defined [Frege, by Chihara] |
10551 | If objects exist because they fall under a concept, 0 is the object under which no objects fall [Frege, by Dummett] |
8653 | Nought is the number belonging to the concept 'not identical with itself' [Frege] |
8654 | One is the Number which belongs to the concept "identical with 0" [Frege] |
8636 | We can say 'a and b are F' if F is 'wise', but not if it is 'one' [Frege] |
8641 | You can abstract concepts from the moon, but the number one is not among them [Frege] |
9989 | Units can be equal without being identical [Tait on Frege] |
17429 | Frege says only concepts which isolate and avoid arbitrary division can give units [Frege, by Koslicki] |
17427 | Frege's 'isolation' could be absence of overlap, or drawing conceptual boundaries [Frege, by Koslicki] |
17437 | Non-arbitrary division means that what falls under the concept cannot be divided into more of the same [Frege, by Koslicki] |
17438 | Our concepts decide what is countable, as in seeing the leaves of the tree, or the foliage [Frege, by Koslicki] |
17426 | A concept creating a unit must isolate and unify what falls under it [Frege] |
17428 | Frege says counting is determining what number belongs to a given concept [Frege, by Koslicki] |
15916 | Frege's one-to-one correspondence replaces well-ordering, because infinities can't be counted [Frege, by Lavine] |
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] |
10034 | The number of natural numbers is not a natural number [Frege, by George/Velleman] |
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] |
16883 | Arithmetical statements can't be axioms, because they are provable [Frege, by Burge] |
10625 | Frege had a motive to treat numbers as objects, but not a justification [Hale/Wright on Frege] |
13871 | Frege claims that numbers are objects, as opposed to them being Fregean concepts [Frege, by Wright,C] |
13872 | Numbers are second-level, ascribing properties to concepts rather than to objects [Frege, by Wright,C] |
9816 | For Frege, successor was a relation, not a function [Frege, by Dummett] |
9953 | Numbers are more than just 'second-level concepts', since existence is also one [Frege, by George/Velleman] |
9954 | "Number of x's such that ..x.." is a functional expression, yielding a name when completed [Frege, by George/Velleman] |
17636 | A cardinal number may be defined as a class of similar classes [Frege, by Russell] |
10139 | Frege gives an incoherent account of extensions resulting from abstraction [Fine,K on Frege] |
10028 | For Frege the number of F's is a collection of first-level concepts [Frege, by George/Velleman] |
10029 | Numbers need to be objects, to define the extension of the concept of each successor to n [Frege, by George/Velleman] |
9973 | The number of F's is the extension of the second level concept 'is equipollent with F' [Frege, by Tait] |
16500 | Frege showed that numbers attach to concepts, not to objects [Frege, by Wiggins] |
9990 | Frege replaced Cantor's sets as the objects of equinumerosity attributions with concepts [Frege, by Tait] |
7738 | Zero is defined using 'is not self-identical', and one by using the concept of zero [Frege, by Weiner] |
23456 | Frege said logical predication implies classes, which are arithmetical objects [Frege, by Morris,M] |
13887 | Frege started with contextual definition, but then switched to explicit extensional definition [Frege, by Wright,C] |
13897 | Each number, except 0, is the number of the concept of all of its predecessors [Frege, by Wright,C] |
9856 | Frege's account of cardinals fails in modern set theory, so they are now defined differently [Dummett on Frege] |
9902 | Frege's incorrect view is that a number is an equivalence class [Benacerraf on Frege] |
17814 | The natural number n is the set of n-membered sets [Frege, by Yourgrau] |
17819 | A set doesn't have a fixed number, because the elements can be seen in different ways [Yourgrau on Frege] |
17460 | A statement of number contains a predication about a concept [Frege] |
17820 | If you can subdivide objects many ways for counting, you can do that to set-elements too [Yourgrau on Frege] |
16890 | Frege's problem is explaining the particularity of numbers by general laws [Frege, by Burge] |
8630 | Individual numbers are best derived from the number one, and increase by one [Frege] |
11029 | 'Exactly ten gallons' may not mean ten things instantiate 'gallon' [Rumfitt on Frege] |
10013 | Numerical statements have first-order logical form, so must refer to objects [Frege, by Hodes] |
18181 | The Number for F is the extension of 'equal to F' (or maybe just F itself) [Frege] |
18103 | Numbers are objects because they partake in identity statements [Frege, by Bostock] |
9956 | 'The number of Fs' is the extension (a collection of first-level concepts) of the concept 'equinumerous with F' [Frege, by George/Velleman] |
13527 | Frege's cardinals (equivalences of one-one correspondences) is not permissible in ZFC [Frege, by Wolf,RS] |
22292 | Hume's Principle fails to implicitly define numbers, because of the Julius Caesar [Frege, by Potter] |
17442 | Frege thinks number is fundamentally bound up with one-one correspondence [Frege, by Heck] |
11030 | The words 'There are exactly Julius Caesar moons of Mars' are gibberish [Rumfitt on Frege] |
10030 | 'Julius Caesar' isn't a number because numbers inherit properties of 0 and successor [Frege, by George/Velleman] |
8690 | From within logic, how can we tell whether an arbitrary object like Julius Caesar is a number? [Frege, by Friend] |
10219 | Frege said 2 is the extension of all pairs (so Julius Caesar isn't 2, because he's not an extension) [Frege, by Shapiro] |
13889 | Fregean numbers are numbers, and not 'Caesar', because they correlate 1-1 [Frege, by Wright,C] |
18142 | One-one correlations imply normal arithmetic, but don't explain our concept of a number [Frege, by Bostock] |
9046 | Our definition will not tell us whether or not Julius Caesar is a number [Frege] |
18178 | For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy] |
13027 | Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy] |
16896 | If numbers can be derived from logic, then set theory is superfluous [Frege, by Burge] |
8639 | If numbers are supposed to be patterns, each number can have many patterns [Frege] |
9627 | Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR] |
13874 | Numbers seem to be objects because they exactly fit the inference patterns for identities [Frege] |
13875 | Frege's platonism proposes that objects are what singular terms refer to [Frege, by Wright,C] |
7731 | How can numbers be external (one pair of boots is two boots), or subjective (and so relative)? [Frege, by Weiner] |
7737 | Identities refer to objects, so numbers must be objects [Frege, by Weiner] |
8635 | Numbers are not physical, and not ideas - they are objective and non-sensible [Frege] |
8652 | Numbers are objects, because they can take the definite article, and can't be plurals [Frege] |
17816 | Frege's logicism aimed at removing the reliance of arithmetic on intuition [Frege, by Yourgrau] |
9974 | Ten sheep and ten dogs are the same numerically, but it is not the same ten [Aristotle] |
8633 | There is no physical difference between two boots and one pair of boots [Frege] |
11031 | 'Jupiter has many moons' won't read as 'The number of Jupiter's moons equals the number many' [Rumfitt on Frege] |
8637 | The number 'one' can't be a property, if any object can be viewed as one or not one [Frege] |
9999 | For science, we can translate adjectival numbers into noun form [Frege] |
9951 | It appears that numbers are adjectives, but they don't apply to a single object [Frege, by George/Velleman] |
9952 | Numerical adjectives are of the same second-level type as the existential quantifier [Frege, by George/Velleman] |
9945 | Logicism shows that no empirical truths are needed to justify arithmetic [Frege, by George/Velleman] |
16905 | Arithmetic must be based on logic, because of its total generality [Frege, by Jeshion] |
8782 | Frege offered a Platonist version of logicism, committed to cardinal and real numbers [Frege, by Hale/Wright] |
13608 | Mathematics has no special axioms of its own, but follows from principles of logic (with definitions) [Frege, by Bostock] |
5658 | Numbers are definable in terms of mapping items which fall under concepts [Frege, by Scruton] |
8655 | Arithmetic is analytic and a priori, and thus it is part of logic [Frege] |
7739 | Arithmetic is analytic [Frege, by Weiner] |
10831 | Frege only managed to prove that arithmetic was analytic with a logic that included set-theory [Quine on Frege] |
13864 | Frege's platonism and logicism are in conflict, if logic must dictates an infinity of objects [Wright,C on Frege] |
10033 | Why should the existence of pure logic entail the existence of objects? [George/Velleman on Frege] |
10010 | Frege's belief in logicism and in numerical objects seem uncomfortable together [Hodes on Frege] |
9631 | Formalism fails to recognise types of symbols, and also meta-games [Frege, by Brown,JR] |
9875 | Frege was completing Bolzano's work, of expelling intuition from number theory and analysis [Frege, by Dummett] |
8642 | Abstraction from things produces concepts, and numbers are in the concepts [Frege] |
8621 | Mental states are irrelevant to mathematics, because they are vague and fluctuating [Frege] |
8643 | Affirmation of existence is just denial of zero [Frege] |
5105 | The incommensurability of the diagonal always exists, and so it is not in time [Aristotle] |
8911 | If abstracta are non-mental, quarks are abstracta, and yet chess and God's thoughts are mental [Rosen on Frege] |
8634 | The equator is imaginary, but not fictitious; thought is needed to recognise it [Frege] |
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] |
17443 | Many of us find Frege's claim that truths depend on one another an obscure idea [Heck on Frege] |
17445 | Parallelism is intuitive, so it is more fundamental than sameness of direction [Frege, by Heck] |
10539 | Frege refers to 'concrete' objects, but they are no different in principle from abstract ones [Frege, by Dummett] |
17431 | Vagueness is incomplete definition [Frege, by Koslicki] |
13879 | For Frege, ontological questions are to be settled by reference to syntactic structures [Frege, by Wright,C] |
10642 | Second-order quantifiers are committed to concepts, as first-order commits to objects [Frege, by Linnebo] |
16656 | The separation from here to there is not the same as the separation from there to here [Aristotle] |
10032 | 'Ancestral' relations are derived by iterating back from a given relation [Frege, by George/Velleman] |
10606 | Frege treats properties as a kind of function, and maybe a property is its characteristic function [Frege, by Smith,P] |
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] |
8647 | Not all objects are spatial; 4 can still be an object, despite lacking spatial co-ordinates [Frege] |
10309 | Frege says singular terms denote objects, numerals are singular terms, so numbers exist [Frege, by Hale] |
10550 | Frege establishes abstract objects independently from concrete ones, by falling under a concept [Frege, by Dummett] |
8785 | For Frege, objects just are what singular terms refer to [Frege, by Hale/Wright] |
10278 | Without concepts we would not have any objects [Frege, by Shapiro] |
17432 | Frege's universe comes already divided into objects [Frege, by Koslicki] |
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] |
16022 | The idea of a criterion of identity was introduced by Frege [Frege, by Noonan] |
11100 | Frege's algorithm of identity is the law of putting equals for equals [Frege, by Quine] |
12153 | Geach denies Frege's view, that 'being the same F' splits into being the same and being F [Perry on Frege] |
9853 | Identity between objects is not a consequence of identity, but part of what 'identity' means [Frege, by Dummett] |
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] |
17623 | To understand a thought you must understand its logical structure [Frege, by Burge] |
9158 | For Frege a priori knowledge derives from general principles, so numbers can't be primitive [Frege] |
8657 | Mathematicians just accept self-evidence, whether it is logical or intuitive [Frege] |
9352 | An a priori truth is one derived from general laws which do not require proof [Frege] |
16889 | A truth is a priori if it can be proved entirely from general unproven laws [Frege] |
2514 | Frege tried to explain synthetic a priori truths by expanding the concept of analyticity [Frege, by Katz] |
16900 | Intuitions cannot be communicated [Frege, by Burge] |
8331 | To know something we need understanding, which is grasp of the primary cause [Aristotle] |
16903 | Justifications show the ordering of truths, and the foundation is what is self-evident [Frege, by Jeshion] |
8624 | Induction is merely psychological, with a principle that it can actually establish laws [Frege] |
8626 | In science one observation can create high probability, while a thousand might prove nothing [Frege] |
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] |
8648 | Ideas are not spatial, and don't have distances between them [Frege] |
8620 | Thought is the same everywhere, and the laws of thought do not vary [Frege] |
9870 | Early Frege takes the extensions of concepts for granted [Frege, by Dummett] |
13878 | Concepts are, precisely, the references of predicates [Frege, by Wright,C] |
7736 | A concept is a non-psychological one-place function asserting something of an object [Frege, by Weiner] |
17430 | Fregean concepts have precise boundaries and universal applicability [Frege, by Koslicki] |
8622 | Psychological accounts of concepts are subjective, and ultimately destroy truth [Frege] |
8651 | A concept is a possible predicate of a singular judgement [Frege] |
9846 | Defining 'direction' by parallelism doesn't tell you whether direction is a line [Dummett on Frege] |
9789 | You can't abstract natural properties to make Forms - objects and attributes are defined together [Aristotle] |
9976 | Frege accepts abstraction to the concept of all sets equipollent to a given one [Tait on Frege] |
9788 | Mathematicians study what is conceptually separable, and doesn't lead to error [Aristotle] |
9988 | If we abstract 'from' two cats, the units are not black or white, or cats [Tait on Frege] |
10803 | Frege himself abstracts away from tone and color [Yablo on Frege] |
9855 | Frege's logical abstaction identifies a common feature as the maximal set of equivalent objects [Frege, by Dummett] |
10802 | Frege's 'parallel' and 'direction' don't have the same content, as we grasp 'parallel' first [Yablo on Frege] |
10526 | Fregean abstraction creates concepts which are equivalences between initial items [Frege, by Fine,K] |
10525 | Frege put the idea of abstraction on a rigorous footing [Frege, by Fine,K] |
10556 | We create new abstract concepts by carving up the content in a different way [Frege] |
9882 | You can't simultaneously fix the truth-conditions of a sentence and the domain of its variables [Dummett on Frege] |
9881 | From basing 'parallel' on identity of direction, Frege got all abstractions from identity statements [Frege, by Dummett] |
8646 | Words in isolation seem to have ideas as meanings, but words have meaning in propositions [Frege] |
7732 | Never ask for the meaning of a word in isolation, but only in the context of a proposition [Frege] |
5107 | Predicates are substance, quality, place, relation, quantity and action or affection [Aristotle] |
9370 | A statement is analytic if substitution of synonyms can make it a logical truth [Frege, by Boghossian] |
8743 | Frege considered analyticity to be an epistemic concept [Frege, by Shapiro] |
20295 | All analytic truths can become logical truths, by substituting definitions or synonyms [Frege, by Rey] |
2515 | Frege fails to give a concept of analyticity, so he fails to explain synthetic a priori truth that way [Katz on Frege] |
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] |
8619 | To learn something, you must know that you don't know [Frege] |
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] |
8656 | The laws of number are not laws of nature, but are laws of the laws of nature [Frege] |
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] |
22286 | Existence is not a first-level concept (of God), but a second-level property of concepts [Frege, by Potter] |
8644 | Because existence is a property of concepts the ontological argument for God fails [Frege] |