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Organon
file:Aristotele, organon, XIII secolo (bml, pluteo 11 sin 1) 01.jpg, The ''Organon'' (, meaning "instrument, tool, organ") is the standard collection of Aristotle's six works on logic, logical analysis and dialectic. The name ''Organon'' was given by Aristotle's followers, the Peripatetic school, Peripatetics, who maintained against the Stoics that Logic was "an instrument" of Philosophy. Aristotle never uses the title ''Organon'' to refer to his logical works. The book, according to Jules Barthélemy-Saint-Hilaire, M. Barthélemy St. Hilaire, was not called "Organon" before the 15th century, and the treatises were collected into one volume, as is supposed, about the time of Andronicus of Rhodes; and it was translated into Latin by Boethius about the 6th century. The six works of Organon are as follows: Constitution of the texts The order of the works is not chronological (which is now hard to determine) but was deliberately chosen by Theophrastus to constitute a well-st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Square Of Opposition
In term logic (a branch of philosophical logic), the square of opposition is a diagram representing the relations between the four basic categorical propositions. The origin of the square can be traced back to Aristotle's tractate '' On Interpretation'' and its distinction between two oppositions: contradiction and contrariety. However, Aristotle did not draw any diagram; this was done several centuries later by Boethius. Summary In traditional logic, a proposition (Latin: ''propositio'') is a spoken assertion (''oratio enunciativa''), not the meaning of an assertion, as in modern philosophy of language and logic. A ''categorical proposition'' is a simple proposition containing two terms, subject () and predicate (), in which the predicate is either asserted or denied of the subject. Every categorical proposition can be reduced to one of four logical forms, named , , , and based on the Latin ' (I affirm), for the affirmative propositions and , and ' (I deny), for ... [...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] |
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] |
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] |
Scientific Knowledge
Science is a systematic discipline that builds and organises knowledge in the form of testable hypotheses and predictions about the universe. Modern science is typically divided into twoor threemajor branches: the natural sciences, which study the physical world, and the social sciences, which study individuals and societies. While referred to as the formal sciences, the study of logic, mathematics, and theoretical computer science are typically regarded as separate because they rely on deductive reasoning instead of the scientific method as their main methodology. Meanwhile, applied sciences are disciplines that use scientific knowledge for practical purposes, such as engineering and medicine. The history of science spans the majority of the historical record, with the earliest identifiable predecessors to modern science dating to the Bronze Age in Egypt and Mesopotamia (). Their contributions to mathematics, astronomy, and medicine entered and shaped the Greek natural philo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inductive Reasoning
Inductive reasoning refers to a variety of method of reasoning, methods of reasoning in which the conclusion of an argument is supported not with deductive certainty, but with some degree of probability. Unlike Deductive reasoning, ''deductive'' reasoning (such as mathematical induction), where the conclusion is ''certain'', given the premises are correct, inductive reasoning produces conclusions that are at best ''probable'', given the evidence provided. Types The types of inductive reasoning include generalization, prediction, statistical syllogism, argument from analogy, and causal inference. There are also differences in how their results are regarded. Inductive generalization A generalization (more accurately, an ''inductive generalization'') proceeds from premises about a Sample (statistics), sample to a conclusion about the statistical population, population. The observation obtained from this sample is projected onto the broader population. : The proportion Q of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Demonstration (teaching)
Demonstration involves showing by reason or proof, explaining or making clear by use of examples or experiments. Put more simply, demonstration means 'to clearly show'.yourdictionary.com.''Demonstrating Definition''. http://www.yourdictionary.com/demonstrating. Overview In teaching through demonstration, students are set up to potentially conceptualize class material more effectively as shown in a study which specifically focuses on chemistry demonstrations presented by teachers.McKee, Erik, Vickie M. Williamson, and Laura E. Ruebush. "Effects of Demonstration Laboratory on Student Learning". ''Journal of Science Education and Technology''. 16.5 (2007) 395-400. Demonstrations often occur when students have a hard time connecting theories to actual practice or when students are unable to understand application of theories. Teachers not only demonstrate specific learning concepts within the classroom, they can also participate in demonstration classrooms to help improve their own tea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 the 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 at ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Posterior Analytics
The ''Posterior Analytics'' (; ) is a text from Aristotle's '' Organon'' that deals with demonstration, definition, and scientific knowledge. The demonstration is distinguished as ''a syllogism productive of scientific knowledge'', while the definition marked as ''the statement of a thing's nature, ... a statement of the meaning of the name, or of an equivalent nominal formula''. Content In the '' Prior Analytics'', syllogistic logic is considered in its formal aspect; in the ''Posterior'' it is considered in respect of its matter. The "form" of a syllogism lies in the necessary connection between the premises and the conclusion. Even where there is no fault in the form, there may be in the matter, i.e. the propositions of which it is composed, which may be true or false, probable or improbable. When the premises are certain, true, and primary, and the conclusion formally follows from them, this is demonstration, and produces scientific knowledge of a thing. Such syllogisms ar ... [...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] |
Syllogism
A syllogism (, ''syllogismos'', 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true. In its earliest form (defined by Aristotle in his 350 BC book '' Prior Analytics''), a deductive syllogism arises when two true premises (propositions or statements) validly imply a conclusion, or the main point that the argument aims to get across. For example, knowing that all men are mortal (major premise), and that Socrates is a man (minor premise), we may validly conclude that Socrates is mortal. Syllogistic arguments are usually represented in a three-line form: All men are mortal. Socrates is a man. Therefore, Socrates is mortal.In antiquity, two rival syllogistic theories existed: Aristotelian syllogism and Stoic syllogism. From the Middle Ages onwards, ''categorical syllogism'' and ''syllogism'' were usually used interchangeably. This article is concern ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
