Genus (philosophy)
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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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Scholasticism
Scholasticism was a medieval school of philosophy that employed a critical organic method of philosophical analysis predicated upon the Aristotelian 10 Categories. Christian scholasticism emerged within the monastic schools that translated scholastic Judeo—Islamic philosophies, and thereby "rediscovered" the collected works of Aristotle. Endeavoring to harmonize his metaphysics and its account of a prime mover with the Latin Catholic dogmatic trinitarian theology, these monastic schools became the basis of the earliest European medieval universities, and scholasticism dominated education in Europe from about 1100 to 1700. The rise of scholasticism was closely associated with these schools that flourished in Italy, France, Portugal, Spain and England. Scholasticism is a method of learning more than a philosophy or a theology, since it places a strong emphasis on dialectical reasoning to extend knowledge by inference and to resolve contradictions. Scholastic thought is ...
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Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually un ...
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Predicables
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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Definition
A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitions (which try to list the objects that a term describes).Lyons, John. "Semantics, vol. I." Cambridge: Cambridge (1977). p.158 and on. Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions. In mathematics, a definition is used to give a precise meaning to a new term, by describing a condition which unambiguously qualifies what a mathematical term is and is not. Definitions and axioms form the basis on which all of modern mathematics is to be constructed. Basic terminology In modern usage, a definition is something, typically expressed in words, that attac ...
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Definiendum
A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitions (which try to list the objects that a term describes).Lyons, John. "Semantics, vol. I." Cambridge: Cambridge (1977). p.158 and on. Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions. In mathematics, a definition is used to give a precise meaning to a new term, by describing a condition which unambiguously qualifies what a mathematical term is and is not. Definitions and axioms form the basis on which all of modern mathematics is to be constructed. Basic terminology In modern usage, a definition is something, typically expressed in words, that attac ...
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The Five Predicables
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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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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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 considered members of that genus. # the differentia: The portion of the definition that is not provided by the genus. For example, consider these two definitions: * ''a triangle'': A plane figure that has 3 straight bounding sides. * ''a quadrilateral'': A plane figure that has 4 straight bounding sides. Those definitions can be expressed as one genus and two ''differentiae'': # ''one genus'': #* ''the genus for both a triangle and a quadrilateral'': "A plane figure" # ''two differentiae'': #* ''the differentia for a triangle'': "that has 3 straight bounding sides." #* ''the differentia for a quadrilateral'': "that has 4 straight bounding sides." The use of genus and differentia in constructing definitions goes back at least as far as Aristotle ( ...
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