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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 (''idioma''), and accident (''symbebekos''). 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 difference ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Genus (philosophy)
In term logic, a ''genus'' is one of the predicables; it is that part of a definition which is also predicable of other things different from the '' definiendum''. E.g., ''figure'' in the definition: ''A triangle is a rectilinear figure''. In fixing the genus of a thing, we subsume it under a higher universal, of which it is a species A species () is often defined as the largest group of organisms in which any two individuals of the appropriate sexes or mating types can produce fertile offspring, typically by sexual reproduction. It is the basic unit of Taxonomy (biology), .... See also * The Five Predicables * Differentia * Genus–differentia definition Scholasticism Definition {{logic-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topics (Aristotle)
The ''Topics'' (; ) is the name given to one of Aristotle's six works on logic collectively known as the ''Organon''. In Andronicus of Rhodes' arrangement it is the fifth of these six works. 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 instan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differentia
In scholastic logic, ''differentia'' (also called ''differentia specifica'') 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. In the original, logical sense, a differentia is a concept — the notion of "differentia" is a second-order concept, or a "second intention", in the scholastic nomenclature. In the scholastic theory it is a kind of essential predicate — a predicate that belongs to its subjects ''de re'' necessarily. It is distinguished against the species by expressing the (specific) essence of the object only partially and against the ''genus'' by expressing the determining rather than the determined part of the essence. History In Ancient Greek philosophy, 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 s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isagoge
The ''Isagoge'' (, ''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, Peter Abelard, Duns Scotus, wrote commentaries on the book. Other writers such as Willia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Term Logic
In logic and formal semantics, 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. Aristotle's system Aristotle's logical work is collected in the six texts that are collectively known as the '' Organon''. Two of these texts in particular, namely th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Porphyry (philosopher)
Porphyry (; ; – ) was a Neoplatonic philosopher born in Tyre, Roman Phoenicia during Roman rule. He edited and published the '' Enneads'', the only collection of the work of Plotinus, his teacher. He wrote original works in the Greek language on a wide variety of topics, ranging from music theory to Homer to vegetarianism. His '' Isagoge'' or ''Introduction'', an introduction to logic and philosophy, was the standard textbook on logic throughout the Middle Ages in its Latin and Arabic translations. Porphyry was, and still is, also well-known for his anti-Christian polemics. Through works such as ''Philosophy from Oracles'' and '' Against the Christians'' (which was banned by Constantine the Great), he was involved in a controversy with early Christians. Life The ''Suda'' (a 10th-century Byzantine encyclopedia based on many sources now lost) reports that Porphyry was born in Tyre, however, other sources report that he was born in Batanaea, present-day Syria . His par ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 two main versions of nominalism. One denies the existence of universals—that which can be instantiated or exemplified by many particular things (e.g., strength, humanity). The other version specifically denies the existence of abstract objects ''as such''—objects 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), whilst others are concrete entities – entities that do exist in space and time (e.g., pillars, snakes, and bananas). Nominalism is primarily a position on the problem of universals. It is opposed to realist philosophies, such as Platonic realism, which asser ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polygon
In geometry, a polygon () is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its '' edges'' or ''sides''. The points where two edges meet are the polygon's '' vertices'' or ''corners''. 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. More precisely, the only allowed intersections among the line segments that make up the polygon are the shared endpoints of consecutive segments in the polygonal chain. A simple polygon is the boundary of a region of the plane that is called a ''solid polygon''. The interior of a solid polygon is its ''body'', also known as a ''polygonal region'' or ''polygonal area''. In contexts where one is concerned only with simple and solid polygons, a ''polygon'' may refer only to a simple polygon or to a solid polygon. A polygonal chain may cross over itself, creating star polyg ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Essence
Essence () has various meanings and uses for different thinkers and in different contexts. It is used in philosophy and theology as a designation for the property (philosophy), property or set of properties or attributes that make an entity the entity it is or, expressed negatively, without which it would lose its Identity (philosophy), identity. Essence is contrasted with accident (philosophy), accident, which is a property or attribute the entity has metaphysical contingency, accidentally or contingently, but upon which its identity does not depend. Etymology The English language, English word ''essence'' comes from Latin language, Latin ''essentia'', via French language, French ''essence''. The original Latin word was created purposefully, by Ancient Roman philosophers, in order to provide an adequate Latin translation for the Greek language, Greek term ''ousia''. The concept originates as a precise technical term with Aristotle, who used the Ancient Greek, Greek expression ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proper Names
A proper noun is a noun that identifies a single entity and is used to refer to that entity (''Africa''; ''Jupiter''; ''Sarah (given name), Sarah''; ''Walmart'') as distinguished from a common noun, which is a noun that refers to a Class (philosophy), 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 (Greek mythology), 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, gover ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 (linguistics), compound word, or multi-word Expression (language), expression that in specific context (language use), 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 t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Concept
A concept is an abstract idea that serves as a foundation for more concrete principles, thoughts, and beliefs. Concepts play an important role in all aspects of cognition. As such, concepts are studied within such disciplines 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, cognitive science. In contemporary philosophy, three understandings of a concept prevail: * mental representations, such that a concept is an entity that exists in the mind (a mental object) * abilities peculiar to cognitive agents (mental states) * Fregean senses, abstract objects rather than a mental object or a mental state Concepts are classified into a hierarchy, higher levels of which are termed "superordinate" and lower levels termed "subordinate". ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
