Predicable
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Predicable
Predicable (Lat. praedicabilis, that which may be stated or affirmed, sometimes called ''quinque voces'' or ''five words'') is, in scholastic logic, a term applied to a classification of the possible relations in which a predicate may stand to its subject. It is not to be confused with ' praedicamenta', the scholastics' term for Aristotle's ten Categories. The list given by the scholastics and generally adopted by modern logicians is based on development of the original fourfold classification given by Aristotle ( Topics, a iv. 101 b 17-25): definition (''horos''), genus (''genos''), property (''idion''), and accident (''sumbebekos''). The scholastic classification, obtained from Boethius's Latin version of Porphyry's ''Isagoge'', modified Aristotle's by substituting species (''eidos'') and difference (''diaphora'') for definition. Both classifications are of universals, concepts or general terms, proper names of course being excluded. There is, however, a radical differenc ...
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Genus (philosophy)
{{unreferenced, date=April 2018 In Scholastic logic a Genus is one of the Predicables. Genus is that part of a definition which is also predicable of other things different from the definiendum. A triangle is a rectilinear figure; i.e. in fixing the genus of a thing, we subsume it under a higher universal, of which it is a species. See also * The Five Predicables * Differentia * Genus–differentia definition A genus–differentia definition is a type of intensional definition, and it is composed of two parts: # a genus (or family): An existing definition that serves as a portion of the new definition; all definitions with the same genus are conside ... Scholasticism Definition ...
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Topics (Aristotle)
The ''Topics'' ( grc-gre, Τοπικά; la, Topica) is the name given to one of Aristotle's six works on logic collectively known as the ''Organon''. The treatise presents the art of dialectic — the invention and discovery of arguments in which the propositions rest upon commonly held opinions or endoxa ( in Greek). ''Topoi'' () are "places" from which such arguments can be discovered or invented. What is a topic? In his treatise ''Topics'', Aristotle does not explicitly define topic, though it is "at least primarily a strategy for argument not infrequently justified or explained by a principle." He characterises it in the ''Rhetoric'' thus: "I call the same thing element and topic; for an element or a topic is a heading under which many enthymemes fall." By element, he means a general form under which enthymemes of the same type can be included. Thus, a topic is a general argument source, from which the individual arguments are instances, and is a template from which many i ...
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Isagoge
The ''Isagoge'' ( el, Εἰσαγωγή, ''Eisagōgḗ''; ) or "Introduction" to Aristotle's "Categories", written by Porphyry in Greek and translated into Latin by Boethius, was the standard textbook on logic for at least a millennium after his death. It was composed by Porphyry in Sicily during the years 268–270, and sent to Chrysaorium, according to all the ancient commentators Ammonius, Elias, and David. The work includes the highly influential hierarchical classification of genera and species from substance in general down to individuals, known as the Tree of Porphyry, and an introduction which mentions the problem of universals. Boethius' translation of the work, in Latin, became a standard medieval textbook in European scholastic universities, setting the stage for medieval philosophical-theological developments of logic and the problem of universals. Many writers, such as Boethius himself, Averroes, Abelard, Scotus, wrote commentaries on the book. Other writers such ...
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Differentia
In scholastic logic, differentia is one of the predicables. It is that part of a definition which is predicable in a given genus only of the definiendum; or the corresponding " metaphysical part" of the object. Origin Plato implicitly employed the concept of differentia when he conceived his method of ''diairesis''. Aristotle was the first to use the term ''diaphora'' (διαφορά) in a systematic fashion; but he had no explicit theory about it, and his understanding of the term is controversial. A theory was only provided by Porphyry's explicit treatment of the predicables presented in his ''Isagoge''. The elaborate scholastic theory of the predicables evolved οn the basis of Boethius' translation of the Isagoge, where the Greek term ''diaphora'' was rendered in Latin as "differentia". In ancient Greek ''adiaphora'' - is the negation of ''diaphora'' - is an important term in Hellenistic philosophy. However, only in Pyrrhonism does it appear to be a denial of Aristotle's ...
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Term Logic
In philosophy, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the Peripatetics. It was revived after the third century CE by Porphyry's Isagoge. Term logic revived in medieval times, first in Islamic logic by Alpharabius in the tenth century, and later in Christian Europe in the twelfth century with the advent of new logic, remaining dominant until the advent of predicate logic in the late nineteenth century. However, even if eclipsed by newer logical systems, term logic still plays a significant role in the study of logic. Rather than radically breaking with term logic, modern logics typically expand it, so to understand the newer systems, one must be acquainted with the earlier one. Aristotle's system Aristotle's logical work is collected in the six texts that are collectively known as the ...
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Nominalism
In metaphysics, nominalism is the view that universals and abstract objects do not actually exist other than being merely names or labels. There are at least two main versions of nominalism. One version denies the existence of universalsthings that can be instantiated or exemplified by many particular things (e.g., strength, humanity). The other version specifically denies the existence of abstract objectsobjects that do not exist in space and time. Most nominalists have held that only physical particulars in space and time are real, and that universals exist only ''post res'', that is, subsequent to particular things. However, some versions of nominalism hold that some particulars are abstract entities (e.g., numbers), while others are concrete entities – entities that do exist in space and time (e.g., pillars, snakes, bananas). Nominalism is primarily a position on the problem of universals. It is opposed to realist philosophies, such as Platonic realism, which assert that ...
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Polygon
In geometry, a polygon () is a plane figure that is described by a finite number of straight line segments connected to form a closed ''polygonal chain'' (or ''polygonal circuit''). The bounded plane region, the bounding circuit, or the two together, may be called a polygon. The segments of a polygonal circuit are called its '' edges'' or ''sides''. The points where two edges meet are the polygon's '' vertices'' (singular: vertex) or ''corners''. The interior of a solid polygon is sometimes called its ''body''. An ''n''-gon is a polygon with ''n'' sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. Mathematicians are often concerned only with the bounding polygonal chains of simple polygons and they often define a polygon accordingly. A polygonal boundary may be allowed to cross over itself, creating star polygons and other self-intersecting polygons. A polygon is a 2-dimensional example of the more general polytope in any number ...
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Essence
Essence ( la, essentia) is a polysemic term, used in philosophy and theology as a designation for the property or set of properties that make an entity or substance what it fundamentally is, and which it has by necessity, and without which it loses its identity. Essence is contrasted with accident: a property that the entity or substance has contingently, without which the substance can still retain its identity. The concept originates rigorously with Aristotle (although it can also be found in Plato), who used the Greek expression ''to ti ên einai'' (τὸ τί ἦν εἶναι, literally meaning "the what it was to be" and corresponding to the scholastic term quiddity) or sometimes the shorter phrase ''to ti esti'' (τὸ τί ἐστι, literally meaning "the what it is" and corresponding to the scholastic term haecceity) for the same idea. This phrase presented such difficulties for its Latin translators that they coined the word ''essentia'' (English "essence") to ...
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Proper Names
A proper noun is a noun that identifies a single entity and is used to refer to that entity (''Africa'', ''Jupiter'', '' Sarah'', ''Microsoft)'' as distinguished from a common noun, which is a noun that refers to a class of entities (''continent, planet, person, corporation'') and may be used when referring to instances of a specific class (a ''continent'', another ''planet'', these ''persons'', our ''corporation''). Some proper nouns occur in plural form (optionally or exclusively), and then they refer to ''groups'' of entities considered as unique (the ''Hendersons'', the ''Everglades'', ''the Azores'', the ''Pleiades''). Proper nouns can also occur in secondary applications, for example modifying nouns (the ''Mozart'' experience; his ''Azores'' adventure), or in the role of common nouns (he's no ''Pavarotti''; a few would-be ''Napoleons''). The detailed definition of the term is problematic and, to an extent, governed by convention. A distinction is normally made in current lin ...
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Terminology
Terminology is a group of specialized words and respective meanings in a particular field, and also the study of such terms and their use; the latter meaning is also known as terminology science. A ''term'' is a word, compound word, or multi-word expressions that in specific contexts is given specific meanings—these may deviate from the meanings the same words have in other contexts and in everyday language. Terminology is a discipline that studies, among other things, the development of such terms and their interrelationships within a specialized domain. Terminology differs from lexicography, as it involves the study of concepts, conceptual systems and their labels (''terms''), whereas lexicography studies words and their meanings. Terminology is a discipline that systematically studies the "labelling or designating of concepts" particular to one or more subject fields or domains of human activity. It does this through the research and analysis of terms in context for the pu ...
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Concept
Concepts are defined as abstract ideas. They are understood to be the fundamental building blocks of the concept behind principles, thoughts and beliefs. They play an important role in all aspects of cognition. As such, concepts are studied by several disciplines, such as linguistics, psychology, and philosophy, and these disciplines are interested in the logical and psychological structure of concepts, and how they are put together to form thoughts and sentences. The study of concepts has served as an important flagship of an emerging interdisciplinary approach called cognitive science. In contemporary philosophy, there are at least three prevailing ways to understand what a concept is: * Concepts as mental representations, where concepts are entities that exist in the mind (mental objects) * Concepts as abilities, where concepts are abilities peculiar to cognitive agents (mental states) * Concepts as Fregean senses, where concepts are abstract objects, as opposed to mental ob ...
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Universal (metaphysics)
In metaphysics, a universal is what particular things have in common, namely characteristics or qualities. In other words, universals are repeatable or recurrent entities that can be instantiated or exemplified by many particular things. For example, suppose there are two chairs in a room, each of which is green. These two chairs both share the quality of " chairness", as well as greenness or the quality of being green; in other words, they share a "universal". There are three major kinds of qualities or characteristics: types or kinds (e.g. mammal), properties (e.g. short, strong), and relations (e.g. father of, next to). These are all different types of universals. Paradigmatically, universals are '' abstract'' (e.g. humanity), whereas particulars are ''concrete'' (e.g. the personhood of Socrates). However, universals are not necessarily abstract and particulars are not necessarily concrete. For example, one might hold that numbers are particular yet abstract objects. Likew ...
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