78 ideas
19693 | There is practical wisdom (for action), and theoretical wisdom (for deep understanding) [Aristotle, by Whitcomb] |
1575 | For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle] |
1589 | Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle] |
8200 | Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine] |
4385 | Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson] |
8187 | Frege was strongly in favour of taking truth to attach to propositions [Frege, by Dummett] |
10859 | A set is 'well-ordered' if every subset has a first element [Clegg] |
10857 | Set theory made a closer study of infinity possible [Clegg] |
10864 | Any set can always generate a larger set - its powerset, of subsets [Clegg] |
10872 | Extensionality: Two sets are equal if and only if they have the same elements [Clegg] |
10875 | Pairing: For any two sets there exists a set to which they both belong [Clegg] |
10876 | Unions: There is a set of all the elements which belong to at least one set in a collection [Clegg] |
10878 | Infinity: There exists a set of the empty set and the successor of each element [Clegg] |
10877 | Powers: All the subsets of a given set form their own new powerset [Clegg] |
10879 | Choice: For every set a mechanism will choose one member of any non-empty subset [Clegg] |
10871 | Axiom of Existence: there exists at least one set [Clegg] |
10874 | Specification: a condition applied to a set will always produce a new set [Clegg] |
13282 | Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki] |
4730 | For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady] |
18772 | We can treat designation by a few words as a proper name [Frege] |
14075 | Proper name in modal contexts refer obliquely, to their usual sense [Frege, by Gibbard] |
10424 | A Fregean proper name has a sense determining an object, instead of a concept [Frege, by Sainsbury] |
18773 | People may have different senses for 'Aristotle', like 'pupil of Plato' or 'teacher of Alexander' [Frege] |
4978 | The meaning of a proper name is the designated object [Frege] |
10510 | Frege ascribes reference to incomplete expressions, as well as to singular terms [Frege, by Hale] |
18937 | If sentences have a 'sense', empty name sentences can be understood that way [Frege, by Sawyer] |
18940 | It is a weakness of natural languages to contain non-denoting names [Frege] |
18939 | In a logically perfect language every well-formed proper name designates an object [Frege] |
9462 | Frege is intensionalist about reference, as it is determined by sense; identity of objects comes first [Frege, by Jacquette] |
18936 | Frege moved from extensional to intensional semantics when he added the idea of 'sense' [Frege, by Sawyer] |
10880 | Mathematics can be 'pure' (unapplied), 'real' (physically grounded); or 'applied' (just applicable) [Clegg] |
10861 | Beyond infinity cardinals and ordinals can come apart [Clegg] |
10860 | An ordinal number is defined by the set that comes before it [Clegg] |
10854 | Transcendental numbers can't be fitted to finite equations [Clegg] |
10858 | By adding an axis of imaginary numbers, we get the useful 'number plane' instead of number line [Clegg] |
10853 | Either lack of zero made early mathematics geometrical, or the geometrical approach made zero meaningless [Clegg] |
10866 | Cantor's account of infinities has the shaky foundation of irrational numbers [Clegg] |
10869 | The Continuum Hypothesis is independent of the axioms of set theory [Clegg] |
10862 | The 'continuum hypothesis' says aleph-one is the cardinality of the reals [Clegg] |
10533 | We can't get a semantics from nouns and predicates referring to the same thing [Frege, by Dummett] |
13276 | The unmoved mover and the soul show Aristotelian form as the ultimate mereological atom [Aristotle, by Koslicki] |
13277 | The 'form' is the recipe for building wholes of a particular kind [Aristotle, by Koslicki] |
4893 | Frege was asking how identities could be informative [Frege, by Perry] |
5991 | For Aristotle, knowledge is of causes, and is theoretical, practical or productive [Aristotle, by Code] |
11239 | The notion of a priori truth is absent in Aristotle [Aristotle, by Politis] |
23312 | Aristotle is a rationalist, but reason is slowly acquired through perception and experience [Aristotle, by Frede,M] |
16111 | Aristotle wants to fit common intuitions, and therefore uses language as a guide [Aristotle, by Gill,ML] |
16971 | Plato says sciences are unified around Forms; Aristotle says they're unified around substance [Aristotle, by Moravcsik] |
11243 | Aristotelian explanations are facts, while modern explanations depend on human conceptions [Aristotle, by Politis] |
3320 | Aristotle's standard analysis of species and genus involves specifying things in terms of something more general [Aristotle, by Benardete,JA] |
12000 | Aristotle regularly says that essential properties explain other significant properties [Aristotle, by Kung] |
23300 | Aristotle and the Stoics denied rationality to animals, while Platonists affirmed it [Aristotle, by Sorabji] |
18752 | 'The concept "horse"' denotes a concept, yet seems also to denote an object [Frege, by McGee] |
22318 | Frege failed to show when two sets of truth-conditions are equivalent [Frege, by Potter] |
4980 | The meaning (reference) of a sentence is its truth value - the circumstance of it being true or false [Frege] |
9180 | Holism says all language use is also a change in the rules of language [Frege, by Dummett] |
4981 | The reference of a word should be understood as part of the reference of the sentence [Frege] |
15597 | Frege's Puzzle: from different semantics we infer different reference for two names with the same reference [Frege, by Fine,K] |
17002 | Frege's 'sense' is ambiguous, between the meaning of a designator, and how it fixes reference [Kripke on Frege] |
18778 | Every descriptive name has a sense, but may not have a reference [Frege] |
7805 | Frege started as anti-realist, but the sense/reference distinction led him to realism [Frege, by Benardete,JA] |
4976 | The meaning (reference) of 'evening star' is the same as that of 'morning star', but not the sense [Frege] |
4977 | In maths, there are phrases with a clear sense, but no actual reference [Frege] |
4979 | We are driven from sense to reference by our desire for truth [Frege] |
15155 | Expressions always give ways of thinking of referents, rather than the referents themselves [Frege, by Soames] |
11126 | 'Sense' gives meaning to non-referring names, and to two expressions for one referent [Frege, by Margolis/Laurence] |
8164 | Frege was the first to construct a plausible theory of meaning [Frege, by Dummett] |
9817 | Earlier Frege focuses on content itself; later he became interested in understanding content [Frege, by Dummett] |
8171 | Frege divided the meaning of a sentence into sense, force and tone [Frege, by Dummett] |
4954 | Frege uses 'sense' to mean both a designator's meaning, and the way its reference is determined [Kripke on Frege] |
7304 | Frege explained meaning as sense, semantic value, reference, force and tone [Frege, by Miller,A] |
11240 | The notion of analytic truth is absent in Aristotle [Aristotle, by Politis] |
6559 | Aristotle never actually says that man is a rational animal [Aristotle, by Fogelin] |
11150 | It is the mark of an educated mind to be able to entertain an idea without accepting it [Aristotle] |
3037 | Aristotle said the educated were superior to the uneducated as the living are to the dead [Aristotle, by Diog. Laertius] |
8660 | There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend] |
12058 | Aristotle's matter can become any other kind of matter [Aristotle, by Wiggins] |
22729 | The concepts of gods arose from observing the soul, and the cosmos [Aristotle, by Sext.Empiricus] |