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25:
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481:. 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):
1216:
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142:(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.
129:
2029:
1209:
42:
89:
61:
1782:
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1202:
981:
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
68:
75:
1960:
1534:
300:: a quadrilateral that has interior angles which are all right angles, and that has bounding sides which all have the same length.
1136:
1126:
545:
equivalent definitions (each of which is expressed with one unique genus) can be recast as one definition that is expressed with
57:
785:
When a system of definitions is constructed with genera and differentiae, the definitions can be thought of as nodes forming a
233:(384–322 BCE). Furthermore, a genus may fulfill certain characteristics (described below) that qualify it to be referred to as
1029:. G - Reference, Information and Interdisciplinary Subjects Series. Albany: State University of New York Press. p. 86.
2083:
1111:
2444:
1086:
424:
may be recast in terms of both of the abstractions, where one acts as the genus and the other acts as the differentia:
2118:
1034:
108:
2547:
1999:
273:). The reverse process, by which just part of an existing definition is used itself as a new definition, is called
82:
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2024:
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1614:
46:
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1862:
465:
When multiple definitions could serve equally well, then all such definitions apply simultaneously. Thus,
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35:
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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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8:
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1981:
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of that individual. Furthermore, the differentia of an individual is synonymously called
749:
A square is a rectangle, which is a quadrilateral, which is a plane figure, which is a...
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2159:
1945:
1890:
1829:
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A square is a rhombus, which is a quadrilateral, which is a plane figure, which is a...
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Aristotle recognized only one method of real definition, namely, the method of
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961:(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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393:: a quadrilateral that has bounding sides which all have the same length.
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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
333:: a quadrilateral that has interior angles which are all right angles.
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of that individual. For instance, consider the following definition:
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A square is a quadrilateral, which is a plane figure, which is a...
316:
a quadrilateral that has interior angles which are all right angles
161:
1512:
151:: The portion of the definition that is not provided by the genus.
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1376:
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A genus of a definition provides a means by which to specify an
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1306:
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318:), and that has bounding sides which all have the same length.
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895:; that is, the genus of an individual is synonymously called
767:
246:
229:) in constructing a definition goes back at least as far as
1396:
1326:
741:
378:), and that has interior angles which are all right angles.
457:
Hence, abstraction is crucial in simplifying definitions.
1224:
865:
of each of its successors, and each direct successor of
178:
Those definitions can be expressed as one genus and two
815:) than any one of its predecessors, and a node with no
356:
that has bounding sides which all have the same length.
249:'s dialogues but should be taken to mean "species" in
938:(which is "a human") may be called synonymously
775:
A square has an interior angle that is a right angle.
551:
525:
416:
that has interior angles which are all right angles.
174:: A plane figure that has 4 straight bounding sides.
165:: A plane figure that has 3 straight bounding sides.
364:may be rearranged and another portion singled out:
49:. Unsourced material may be challenged and removed.
2030:On Youth, Old Age, Life and Death, and Respiration
557:
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402:may be recast with that abstraction as its genus:
342:may be recast with that abstraction as its genus:
322:and with that part, an abstraction may be formed:
256:
2235:
2158:
1023:Parry, William Thomas; Hacker, Edward A. (1991).
193:the genus for both a triangle and a quadrilateral
2524:
915:: a human that has the name 'John Smith'.
1528:
1210:
1080:
1056:, applied to defining real things, not words.
155:For example, consider these two definitions:
2306:
977:is the one "that has the name 'John Smith'".
261:The process of producing new definitions by
1022:
850:is a most differentiated definition), then
1535:
1521:
1217:
1203:
1087:
1073:
265:existing definitions is commonly known as
758:A square is a plane figure, which is a...
109:Learn how and when to remove this message
730:, which has some non-genus Differentia.
699:, which has some non-genus Differentia.
673:, which has some non-genus Differentia.
644:, which has some non-genus Differentia.
618:, which has some non-genus Differentia.
592:, which has some non-genus Differentia.
215:: "that has 4 straight bounding sides."
209:: "that has 3 straight bounding sides."
2525:
778:A square has a straight bounding side.
382:leading to the following abstraction:
290:For instance, consider the following:
2377:
2286:
1516:
1198:
1068:
801:; each node along a directed path is
237:, a term derived from the Greek word
2558:Theories in ancient Greek philosophy
2084:On Melissus, Xenophanes, and Gorgias
1226:Ancient Greek philosophical concepts
842:has at least one successor and each
838:of each of its successors (that is,
695:and that is a... and that is a Genus
669:and that is a... and that is a Genus
636:and that is a... and that is a Genus
610:and that is a... and that is a Genus
584:and that is a... and that is a Genus
47:adding citations to reliable sources
18:
1542:
213:the differentia for a quadrilateral
132:, and it is composed of two parts:
13:
2445:Transmission of the Greek Classics
14:
2574:
2119:The Situations and Names of Winds
2505:
2495:
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950:is an individual of the species
519:More generally, a collection of
23:
2025:On Length and Shortness of Life
460:
279:; the new definition is called
257:Differentiation and Abstraction
34:needs additional citations for
1615:Correspondence theory of truth
1094:
1016:
799:a most general definition
469:is a member of both the genus
207:the differentia for a triangle
58:"Genus–differentia definition"
16:Type of intensional definition
1:
1961:Constitution of the Athenians
1009:
565:genera. Thus, the following:
360:Similarly, the definition of
1863:On Generation and Corruption
734:
500:or completely equivalently:
283:and it is said to have been
225:) and a differentia (Greek:
7:
997:
420:In fact, the definition of
221:The use of a genus (Greek:
10:
2579:
2104:On Marvellous Things Heard
1723:Potentiality and actuality
821:a most differentiated
2490:
2467:Commentaries on Aristotle
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1969:
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287:the existing definition.
923:The whole definition is
398:Then, the definition of
338:Then, the definition of
2548:Conceptual distinctions
1835:Sophistical Refutations
988:pars pro toto
2553:Philosophy of language
2020:On Divination in Sleep
1706:Horror vacui (physics)
1004:Hyponymy and hypernymy
791:directed acyclic graph
559:
539:
538:{\displaystyle n>1}
130:intensional definition
2512:Philosophy portal
2134:Rhetoric to Alexander
793:; a node that has no
560:
540:
2223:Andronicus of Rhodes
2124:On Virtues and Vices
2079:On Indivisible Lines
2000:Sense and Sensibilia
1970:Rhetoric and poetics
1783:mathematical realism
789:or—more generally—a
722:and a... and a Genus
703:could be recast as:
549:
523:
285:abstracted away from
43:improve this article
2563:Ancient Greek logic
2193:Strato of Lampsacus
1825:Posterior Analytics
1577:Ideas and interests
957:The differentia of
830:When a definition,
825:a most derived
691:and that is a Genus
687:and that is a Genus
665:and that is a Genus
661:and that is a Genus
640:and that is a Genus
632:and that is a Genus
614:and that is a Genus
606:and that is a Genus
588:and that is a Genus
580:and that is a Genus
281:an abstraction
2237:Islamic Golden Age
2160:Peripatetic school
1946:Nicomachean Ethics
1641:Future contingents
1026:Aristotelian Logic
925:an individual
768:has-a relationship
555:
535:
195:: "A plane figure"
123:genus–differentia
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2472:Metabasis paradox
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2360:Pietro Pomponazzi
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2183:Eudemus of Rhodes
2173:Clearchus of Soli
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1815:On Interpretation
1758:Temporal finitism
1646:Genus–differentia
1603:Category of being
1510:
1509:
1281:(first principle)
1192:
1191:
1142:Genus–differentia
963:the identity
931:is an individual.
891:) of the species
781:A square has a...
742:is-a relationship
558:{\displaystyle n}
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1689:Moderate realism
1683:Minima naturalia
1584:Active intellect
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2099:Physiognomonics
2094:On Things Heard
2089:On the Universe
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1992:Parva Naturalia
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1951:Eudemian Ethics
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683:that is a Genus
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628:that is a Genus
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602:that is a Genus
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576:that is a Genus
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267:differentiation
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919:In this case:
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827:) definition.
805:differentiated
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475:and the genus
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1778:Virtue ethics
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1773:Unmoved mover
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1361:(flourishing)
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934:The genus of
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467:a square
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422:a square
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410:
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400:a square
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362:a square
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340:a square
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269:(and also as
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171:quadrilateral
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144:
141:
140:
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128:is a type of
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102:
99:December 2021
91:
88:
84:
81:
77:
74:
70:
67:
63:
60: –
59:
55:
54:Find sources:
48:
44:
38:
37:
32:This article
30:
26:
21:
20:
2462:Neoplatonism
2188:Theophrastus
2046:Protrepticus
1939:and politics
1750:
1737:
1733:hypokeimenon
1731:
1715:
1698:
1681:
1674:
1662:
1658:Hylomorphism
1650:
1645:
1628:
1607:
1595:
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1467:
1461:(temperance)
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1447:
1437:
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1387:
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1337:
1327:
1317:
1307:
1297:
1291:(excellence)
1287:
1277:
1267:
1257:
1247:
1237:
1141:
1132:Fallacies of
1117:Coordinative
1053:
1049:
1047:
1040:. Retrieved
1025:
1018:
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974:
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811:
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802:
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784:
766:
764:
740:
738:
708:a Definition
707:
702:
677:a Definition
676:
651:a Definition
650:
622:a Definition
621:
596:a Definition
595:
570:a Definition
569:
518:
504:
499:
485:
476:
470:
466:
464:
461:Multiplicity
456:
442:
428:
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419:
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180:differentiae
179:
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159:
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145:
136:
122:
120:
105:
96:
86:
79:
72:
65:
53:
41:Please help
36:verification
33:
2543:Dichotomies
2533:Abstraction
2338:Duns Scotus
2178:Dicaearchus
2168:Aristoxenus
1927:Metaphysics
1920:Metaphysics
1906:Progression
1873:On the Soul
1868:Meteorology
1670:Magnanimity
1636:Four causes
1411:(substance)
1401:(intellect)
1381:(imitation)
1351:(character)
1341:(knowledge)
1184:Theoretical
1179:Stipulative
1154:Operational
1137:Intensional
1127:Extensional
1122:Enumerative
1054:differentia
983:linguistics
969:; that is,
946:; that is,
927:; that is,
795:predecessor
726:and a Genus
718:and a Genus
714:and a Genus
513:a rectangle
490:a rectangle
451:a rectangle
433:a rectangle
354:a rectangle
276:abstraction
253:'s corpus.
148:differentia
2538:Definition
2527:Categories
2420:Hursthouse
2294:Maimonides
2260:Avicennism
1911:Generation
1883:On Animals
1810:Categories
1630:Eudaimonia
1458:Sophrosyne
1431:(prudence)
1358:Eudaimonia
1321:(division)
1261:(infinite)
1164:Persuasive
1096:Definition
1010:References
991:synecdoche
975:John Smith
971:John Smith
967:John Smith
959:John Smith
948:John Smith
944:John Smith
936:John Smith
929:John Smith
913:John Smith
875:individual
271:derivation
125:definition
69:newspapers
2455:Platonism
2410:MacIntyre
2272:Averroism
2250:Al-Farabi
2208:Critolaus
2152:Followers
2129:Economics
2109:Mechanics
2074:On Plants
2069:On Colors
2064:On Breath
2015:On Dreams
2005:On Memory
1768:Haecceity
1746:Syllogism
1717:Phronesis
1609:Catharsis
1558:Aristotle
1428:Phronesis
1421:(passion)
1331:(opinion)
1318:Diairesis
1271:(problem)
1238:Adiaphora
1174:Recursive
1169:Precising
1159:Ostensive
834:, is the
817:successor
787:hierarchy
735:Structure
710:: a Genus
679:: a Genus
653:: a Genus
624:: a Genus
598:: a Genus
572:: a Genus
509:a rhombus
494:a rhombus
472:rectangle
447:a rhombus
437:a rhombus
414:a rhombus
330:rectangle
263:extending
251:Aristotle
235:a species
231:Aristotle
187:one genus
2500:Category
2425:Nussbaum
2395:Brentano
2267:Averroes
2255:Avicenna
2245:Al-Kindi
2218:Erymneus
2114:Problems
2010:On Sleep
1977:Rhetoric
1956:Politics
1901:Movement
1763:Quiddity
1624:accident
1551:Overview
1501:(temper)
1451:(wisdom)
1441:(nature)
1371:(reason)
1338:Episteme
1298:Ataraxia
1248:Aletheia
1107:Circular
998:See also
904:identity
505:a square
486:a square
449:that is
443:a square
435:that is
429:a square
227:diaphora
162:triangle
2343:Scotism
2331:Thomism
1982:Poetics
1891:History
1853:Physics
1845:Physics
1802:Organon
1730: (
1676:Mimesis
1620:Essence
1481:(craft)
1378:Mimesis
1311:(order)
1258:Apeiron
1251:(truth)
1149:Lexical
1112:Concept
860:species
812:derived
478:rhombus
390:rhombus
83:scholar
2385:Newman
2378:Modern
2287:Jewish
1937:Ethics
1830:Topics
1700:Philia
1694:Mythos
1568:Lyceum
1498:Thumos
1491:(goal)
1478:Techne
1471:(sage)
1468:sophós
1448:Sophia
1438:Physis
1418:Pathos
1391:(unit)
1308:Cosmos
1268:Aporia
1033:
886:entity
409:square
371:square
349:square
311:square
297:square
85:
78:
71:
64:
56:
2450:Plato
2415:Smith
2400:Adler
1896:Parts
1793:Works
1752:Telos
1739:ousia
1664:Lexis
1652:Hexis
1597:Arete
1563:Logic
1488:Telos
1408:Ousia
1388:Monad
1368:Logos
1348:Ethos
1288:Arete
1278:Arche
1050:genus
1042:8 Feb
985:as a
952:human
810:more
803:more
247:Plato
245:" in
239:eidos
223:genos
139:genus
90:JSTOR
76:books
2405:Foot
2039:Lost
1398:Nous
1328:Doxa
1052:and
1044:2019
1031:ISBN
902:the
880:(or
857:the
836:tail
823:(or
808:(or
530:>
511:and
492:and
243:form
146:the
62:news
965:of
942:of
883:an
872:an
846:of
819:is
797:is
724:n-1
697:n-1
655:n-1
647:...
638:n-1
612:n-1
586:n-1
374:: (
314:: (
45:by
2529::
1736:,
1046:.
994:.
771::
745::
507::
488::
445::
431::
412::
407:a
388:a
369:a
352::
347:a
328:a
309:a
295:a
203::
189::
182::
169:a
160:a
137:a
121:A
1742:)
1622:–
1536:e
1529:t
1522:v
1218:e
1211:t
1204:v
1088:e
1081:t
1074:v
954:.
893:S
867:S
852:S
848:S
840:S
832:S
728:n
720:3
716:2
712:1
693:3
689:2
685:1
681:n
671:n
667:3
663:2
659:1
642:n
634:2
630:1
626:3
616:n
608:3
604:1
600:2
590:n
582:3
578:2
574:1
553:n
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527:n
515:.
496:.
453:.
439:.
112:)
106:(
101:)
97:(
87:·
80:·
73:·
66:·
39:.
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