2507:
36:
2518:
492:. In such a case, it is notationally convenient to consolidate the definitions into one definition that is expressed with multiple genera (and possibly no differentia, as in the following):
1227:
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574:
153:(or family): An existing definition that serves as a portion of the new definition; all definitions with the same genus are considered members of that genus.
140:
2040:
1220:
53:
100:
72:
1793:
2568:
1213:
992:
As in that example, the identity itself (or some part of it) is often used to refer to the entire individual, a phenomenon that is known in
79:
86:
1971:
1545:
311:: a quadrilateral that has interior angles which are all right angles, and that has bounding sides which all have the same length.
1147:
1137:
556:
equivalent definitions (each of which is expressed with one unique genus) can be recast as one definition that is expressed with
68:
796:
When a system of definitions is constructed with genera and differentiae, the definitions can be thought of as nodes forming a
244:(384–322 BCE). Furthermore, a genus may fulfill certain characteristics (described below) that qualify it to be referred to as
1040:. G - Reference, Information and Interdisciplinary Subjects Series. Albany: State University of New York Press. p. 86.
2094:
1122:
2455:
1097:
435:
may be recast in terms of both of the abstractions, where one acts as the genus and the other acts as the differentia:
2129:
1045:
119:
2558:
2010:
284:). The reverse process, by which just part of an existing definition is used itself as a new definition, is called
93:
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2035:
2375:
1625:
57:
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1651:
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1873:
17:
476:
When multiple definitions could serve equally well, then all such definitions apply simultaneously. Thus,
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46:
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The non-genus portion of the differentia of a definition provides a means by which to specify a
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1189:
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1132:
1090:
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1921:
1634:
1174:
914:
533:
2553:
2543:
2233:
2134:
2124:
2089:
1987:
1966:
1855:
1184:
1179:
1169:
8:
2548:
2430:
2203:
1992:
1947:
1911:
1863:
1835:
1117:
910:
of that individual. Furthermore, the differentia of an individual is synonymously called
760:
A square is a rectangle, which is a quadrilateral, which is a plane figure, which is a...
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2247:
2170:
1956:
1901:
1840:
1803:
1704:
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763:
A square is a rhombus, which is a quadrilateral, which is a plane figure, which is a...
559:
149:
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Aristotle recognized only one method of real definition, namely, the method of
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972:(which is "that has the name 'John Smith'") may be called synonymously
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is identified among other individuals of the same species by the fact that
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404:: a quadrilateral that has bounding sides which all have the same length.
286:
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A part of that definition may be singled out (using parentheses here):
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a quadrilateral that has bounding sides which all have the same length
344:: a quadrilateral that has interior angles which are all right angles.
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2015:
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of that individual. For instance, consider the following definition:
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35:
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2020:
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1307:
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A square is a quadrilateral, which is a plane figure, which is a...
327:
a quadrilateral that has interior angles which are all right angles
172:
1523:
162:: The portion of the definition that is not provided by the genus.
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1387:
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A genus of a definition provides a means by which to specify an
1710:
1507:
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1427:
1317:
1277:
329:), and that has bounding sides which all have the same length.
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1762:
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1607:
1497:
1417:
1377:
1357:
1297:
1287:
1075:
906:; that is, the genus of an individual is synonymously called
778:
257:
240:) in constructing a definition goes back at least as far as
1407:
1337:
752:
389:), and that has interior angles which are all right angles.
468:
Hence, abstraction is crucial in simplifying definitions.
1235:
876:
of each of its successors, and each direct successor of
189:
Those definitions can be expressed as one genus and two
826:) than any one of its predecessors, and a node with no
367:
that has bounding sides which all have the same length.
260:'s dialogues but should be taken to mean "species" in
949:(which is "a human") may be called synonymously
786:
A square has an interior angle that is a right angle.
562:
536:
427:
that has interior angles which are all right angles.
185:: A plane figure that has 4 straight bounding sides.
176:: A plane figure that has 3 straight bounding sides.
375:may be rearranged and another portion singled out:
60:. Unsourced material may be challenged and removed.
2041:On Youth, Old Age, Life and Death, and Respiration
568:
548:
413:may be recast with that abstraction as its genus:
353:may be recast with that abstraction as its genus:
333:and with that part, an abstraction may be formed:
267:
2246:
2169:
1034:Parry, William Thomas; Hacker, Edward A. (1991).
204:the genus for both a triangle and a quadrilateral
2535:
926:: a human that has the name 'John Smith'.
1539:
1221:
1091:
1067:, applied to defining real things, not words.
166:For example, consider these two definitions:
2317:
988:is the one "that has the name 'John Smith'".
272:The process of producing new definitions by
1033:
861:is a most differentiated definition), then
1546:
1532:
1228:
1214:
1098:
1084:
276:existing definitions is commonly known as
769:A square is a plane figure, which is a...
120:Learn how and when to remove this message
741:, which has some non-genus Differentia.
710:, which has some non-genus Differentia.
684:, which has some non-genus Differentia.
655:, which has some non-genus Differentia.
629:, which has some non-genus Differentia.
603:, which has some non-genus Differentia.
226:: "that has 4 straight bounding sides."
220:: "that has 3 straight bounding sides."
14:
2536:
789:A square has a straight bounding side.
393:leading to the following abstraction:
301:For instance, consider the following:
2388:
2297:
1527:
1209:
1079:
812:; each node along a directed path is
248:, a term derived from the Greek word
2569:Theories in ancient Greek philosophy
2095:On Melissus, Xenophanes, and Gorgias
1237:Ancient Greek philosophical concepts
853:has at least one successor and each
849:of each of its successors (that is,
706:and that is a... and that is a Genus
680:and that is a... and that is a Genus
647:and that is a... and that is a Genus
621:and that is a... and that is a Genus
595:and that is a... and that is a Genus
58:adding citations to reliable sources
29:
1553:
224:the differentia for a quadrilateral
143:, and it is composed of two parts:
24:
2456:Transmission of the Greek Classics
25:
2585:
2130:The Situations and Names of Winds
2516:
2506:
2505:
961:is an individual of the species
530:More generally, a collection of
34:
2036:On Length and Shortness of Life
471:
290:; the new definition is called
268:Differentiation and Abstraction
45:needs additional citations for
1626:Correspondence theory of truth
1105:
1027:
810:a most general definition
480:is a member of both the genus
218:the differentia for a triangle
69:"Genus–differentia definition"
27:Type of intensional definition
13:
1:
1972:Constitution of the Athenians
1020:
576:genera. Thus, the following:
371:Similarly, the definition of
1874:On Generation and Corruption
745:
511:or completely equivalently:
294:and it is said to have been
236:) and a differentia (Greek:
7:
1008:
431:In fact, the definition of
232:The use of a genus (Greek:
10:
2590:
2115:On Marvellous Things Heard
1734:Potentiality and actuality
832:a most differentiated
2501:
2478:Commentaries on Aristotle
2448:
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2001:
1980:
1946:
1930:
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1811:
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298:the existing definition.
934:The whole definition is
409:Then, the definition of
349:Then, the definition of
2559:Conceptual distinctions
1846:Sophistical Refutations
999:pars pro toto
2564:Philosophy of language
2031:On Divination in Sleep
1717:Horror vacui (physics)
1015:Hyponymy and hypernymy
802:directed acyclic graph
570:
550:
549:{\displaystyle n>1}
141:intensional definition
2523:Philosophy portal
2145:Rhetoric to Alexander
804:; a node that has no
571:
551:
2234:Andronicus of Rhodes
2135:On Virtues and Vices
2090:On Indivisible Lines
2011:Sense and Sensibilia
1981:Rhetoric and poetics
1794:mathematical realism
800:or—more generally—a
733:and a... and a Genus
714:could be recast as:
560:
534:
296:abstracted away from
54:improve this article
2574:Ancient Greek logic
2204:Strato of Lampsacus
1836:Posterior Analytics
1588:Ideas and interests
968:The differentia of
841:When a definition,
836:a most derived
702:and that is a Genus
698:and that is a Genus
676:and that is a Genus
672:and that is a Genus
651:and that is a Genus
643:and that is a Genus
625:and that is a Genus
617:and that is a Genus
599:and that is a Genus
591:and that is a Genus
292:an abstraction
2248:Islamic Golden Age
2171:Peripatetic school
1957:Nicomachean Ethics
1652:Future contingents
1037:Aristotelian Logic
936:an individual
779:has-a relationship
566:
546:
206:: "A plane figure"
134:genus–differentia
2531:
2530:
2483:Metabasis paradox
2444:
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2371:Pietro Pomponazzi
2313:
2312:
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2194:Eudemus of Rhodes
2184:Clearchus of Soli
2158:
2157:
1826:On Interpretation
1769:Temporal finitism
1657:Genus–differentia
1614:Category of being
1521:
1520:
1292:(first principle)
1203:
1202:
1153:Genus–differentia
974:the identity
942:is an individual.
902:) of the species
792:A square has a...
753:is-a relationship
569:{\displaystyle n}
130:
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104:
16:(Redirected from
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2366:Jacopo Zabarella
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2224:Diodorus of Tyre
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1809:
1808:
1739:Substance theory
1700:Moderate realism
1694:Minima naturalia
1595:Active intellect
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855:direct successor
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2110:Physiognomonics
2105:On Things Heard
2100:On the Universe
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2003:Parva Naturalia
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1962:Eudemian Ethics
1942:
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1831:Prior Analytics
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694:that is a Genus
693:
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668:that is a Genus
667:
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639:that is a Genus
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613:that is a Genus
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930:In this case:
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838:) definition.
816:differentiated
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486:and the genus
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2493:Wheel paradox
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2319:Scholasticism
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2209:Lyco of Troas
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2150:Magna Moralia
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1789:Virtue ethics
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1784:Unmoved mover
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1372:(flourishing)
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1312:(tranquility)
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1047:9780791406892
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948:
945:The genus of
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478:a square
469:
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433:a square
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412:
411:a square
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373:a square
362:
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351:a square
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342:
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289:
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280:(and also as
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182:quadrilateral
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155:
152:
151:
146:
145:
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139:is a type of
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113:
110:December 2021
102:
99:
95:
92:
88:
85:
81:
78:
74:
71: –
70:
66:
65:Find sources:
59:
55:
49:
48:
43:This article
41:
37:
32:
31:
19:
2473:Neoplatonism
2199:Theophrastus
2057:Protrepticus
1950:and politics
1761:
1748:
1744:hypokeimenon
1742:
1726:
1709:
1692:
1685:
1673:
1669:Hylomorphism
1661:
1656:
1639:
1618:
1606:
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1472:(temperance)
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1428:
1418:
1408:
1398:
1388:
1378:
1368:
1358:
1348:
1338:
1328:
1318:
1308:
1302:(excellence)
1298:
1288:
1278:
1268:
1258:
1248:
1152:
1143:Fallacies of
1128:Coordinative
1064:
1060:
1058:
1051:. Retrieved
1036:
1029:
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809:
795:
777:
775:
751:
749:
719:a Definition
718:
713:
688:a Definition
687:
662:a Definition
661:
633:a Definition
632:
607:a Definition
606:
581:a Definition
580:
529:
515:
510:
496:
487:
481:
477:
475:
472:Multiplicity
467:
453:
439:
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191:differentiae
190:
188:
179:
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156:
147:
133:
131:
116:
107:
97:
90:
83:
76:
64:
52:Please help
47:verification
44:
18:Differentiae
2554:Dichotomies
2544:Abstraction
2349:Duns Scotus
2189:Dicaearchus
2179:Aristoxenus
1938:Metaphysics
1931:Metaphysics
1917:Progression
1884:On the Soul
1879:Meteorology
1681:Magnanimity
1647:Four causes
1422:(substance)
1412:(intellect)
1392:(imitation)
1362:(character)
1352:(knowledge)
1195:Theoretical
1190:Stipulative
1165:Operational
1148:Intensional
1138:Extensional
1133:Enumerative
1065:differentia
994:linguistics
980:; that is,
957:; that is,
938:; that is,
806:predecessor
737:and a Genus
729:and a Genus
725:and a Genus
524:a rectangle
501:a rectangle
462:a rectangle
444:a rectangle
365:a rectangle
287:abstraction
264:'s corpus.
159:differentia
2549:Definition
2538:Categories
2431:Hursthouse
2305:Maimonides
2271:Avicennism
1922:Generation
1894:On Animals
1821:Categories
1641:Eudaimonia
1469:Sophrosyne
1442:(prudence)
1369:Eudaimonia
1332:(division)
1272:(infinite)
1175:Persuasive
1107:Definition
1021:References
1002:synecdoche
986:John Smith
982:John Smith
978:John Smith
970:John Smith
959:John Smith
955:John Smith
947:John Smith
940:John Smith
924:John Smith
886:individual
282:derivation
136:definition
80:newspapers
2466:Platonism
2421:MacIntyre
2283:Averroism
2261:Al-Farabi
2219:Critolaus
2163:Followers
2140:Economics
2120:Mechanics
2085:On Plants
2080:On Colors
2075:On Breath
2026:On Dreams
2016:On Memory
1779:Haecceity
1757:Syllogism
1728:Phronesis
1620:Catharsis
1569:Aristotle
1439:Phronesis
1432:(passion)
1342:(opinion)
1329:Diairesis
1282:(problem)
1249:Adiaphora
1185:Recursive
1180:Precising
1170:Ostensive
845:, is the
828:successor
798:hierarchy
746:Structure
721:: a Genus
690:: a Genus
664:: a Genus
635:: a Genus
609:: a Genus
583:: a Genus
520:a rhombus
505:a rhombus
483:rectangle
458:a rhombus
448:a rhombus
425:a rhombus
341:rectangle
274:extending
262:Aristotle
246:a species
242:Aristotle
198:one genus
2511:Category
2436:Nussbaum
2406:Brentano
2278:Averroes
2266:Avicenna
2256:Al-Kindi
2229:Erymneus
2125:Problems
2021:On Sleep
1988:Rhetoric
1967:Politics
1912:Movement
1774:Quiddity
1635:accident
1562:Overview
1512:(temper)
1462:(wisdom)
1452:(nature)
1382:(reason)
1349:Episteme
1309:Ataraxia
1259:Aletheia
1118:Circular
1009:See also
915:identity
516:a square
497:a square
460:that is
454:a square
446:that is
440:a square
238:diaphora
173:triangle
2354:Scotism
2342:Thomism
1993:Poetics
1902:History
1864:Physics
1856:Physics
1813:Organon
1741: (
1687:Mimesis
1631:Essence
1492:(craft)
1389:Mimesis
1322:(order)
1269:Apeiron
1262:(truth)
1160:Lexical
1123:Concept
871:species
823:derived
489:rhombus
401:rhombus
94:scholar
2396:Newman
2389:Modern
2298:Jewish
1948:Ethics
1841:Topics
1711:Philia
1705:Mythos
1579:Lyceum
1509:Thumos
1502:(goal)
1489:Techne
1482:(sage)
1479:sophós
1459:Sophia
1449:Physis
1429:Pathos
1402:(unit)
1319:Cosmos
1279:Aporia
1044:
897:entity
420:square
382:square
360:square
322:square
308:square
96:
89:
82:
75:
67:
2461:Plato
2426:Smith
2411:Adler
1907:Parts
1804:Works
1763:Telos
1750:ousia
1675:Lexis
1663:Hexis
1608:Arete
1574:Logic
1499:Telos
1419:Ousia
1399:Monad
1379:Logos
1359:Ethos
1299:Arete
1289:Arche
1061:genus
1053:8 Feb
996:as a
963:human
821:more
814:more
258:Plato
256:" in
250:eidos
234:genos
150:genus
101:JSTOR
87:books
2416:Foot
2050:Lost
1409:Nous
1339:Doxa
1063:and
1055:2019
1042:ISBN
913:the
891:(or
868:the
847:tail
834:(or
819:(or
541:>
522:and
503:and
254:form
157:the
73:news
976:of
953:of
894:an
883:an
857:of
830:is
808:is
735:n-1
708:n-1
666:n-1
658:...
649:n-1
623:n-1
597:n-1
385:: (
325:: (
56:by
2540::
1747:,
1057:.
1005:.
782::
756::
518::
499::
456::
442::
423::
418:a
399:a
380:a
363::
358:a
339:a
320:a
306:a
214::
200::
193::
180:a
171:a
148:a
132:A
1753:)
1633:–
1547:e
1540:t
1533:v
1229:e
1222:t
1215:v
1099:e
1092:t
1085:v
965:.
904:S
878:S
863:S
859:S
851:S
843:S
739:n
731:3
727:2
723:1
704:3
700:2
696:1
692:n
682:n
678:3
674:2
670:1
653:n
645:2
641:1
637:3
627:n
619:3
615:1
611:2
601:n
593:3
589:2
585:1
564:n
544:1
538:n
526:.
507:.
464:.
450:.
123:)
117:(
112:)
108:(
98:·
91:·
84:·
77:·
50:.
20:)
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