Relations (philosophy)
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Relations (philosophy)
Relations are ways in which things, the relata, stand to each other. Relations are in many ways similar to Properties (philosophy), properties in that both characterize the things they apply to. Properties are sometimes treated as a special case of relations involving only one relatum. In philosophy (especially metaphysics), theories of relations are typically introduced to account for repetitions of how several things stand to each other. Overview The concept of ''relation'' has a long and complicated history. One of the interests for the Greek philosophers lay in the number of ways in which a particular thing might be described, and the establishment of a relation between one thing and another was one of these. A second interest lay in the difference between these relations and the things themselves. This was to culminate in the view that the things in themselves could not be known except through their relations. Debates similar to these continue into modern philosophy and include ...
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Properties (philosophy)
In logic and philosophy (especially metaphysics), a property is a characteristic of an object; a red object is said to have the property of redness. The property may be considered a form of object in its own right, able to possess other properties. A property, however, differs from individual objects in that it may be instantiated, and often in more than one object. It differs from the logical/mathematical concept of class by not having any concept of extensionality, and from the philosophical concept of class in that a property is considered to be distinct from the objects which possess it. Understanding how different individual entities (or particulars) can in some sense have some of the same properties is the basis of the problem of universals. Terms and usage A property is any member of a class of entities that are capable of being attributed to objects. Terms similar to ''property'' include ''predicable'', ''attribute'', ''quality'', ''feature'', ''characteristic'', ''typ ...
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Trinity
The Christian doctrine of the Trinity (, from 'threefold') is the central dogma concerning the nature of God in most Christian churches, which defines one God existing in three coequal, coeternal, consubstantial divine persons: God the Father, God the Son (Jesus Christ) and God the Holy Spirit, three distinct persons sharing one ''homoousion'' (essence) "each is God, complete and whole." As the Fourth Lateran Council declared, it is the Father who begets, the Son who is begotten, and the Holy Spirit who proceeds. In this context, the three persons define God is, while the one essence defines God is. This expresses at once their distinction and their indissoluble unity. Thus, the entire process of creation and grace is viewed as a single shared action of the three divine persons, in which each person manifests the attributes unique to them in the Trinity, thereby proving that everything comes "from the Father," "through the Son," and "in the Holy Spirit." This doctrine ...
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William Of Sherwood
William of Sherwood or William Sherwood (Latin: ''Guillielmus de Shireswode''; ), with numerous variant spellings, was a medieval English scholastic philosopher, logician, and teacher. Little is known of his life, but he is thought to have studied in Paris, was a master at Oxford in 1252, treasurer of Lincoln from 1254/1258 onwards, and a rector of Aylesbury. He was the author of two books which were an important influence on the development of scholastic logic: ''Introductiones in Logicam'' (Introduction to Logic), and '' Syncategoremata''. These are the first known works to deal in a systematic way with what is now called supposition theory, known in William's time as the ''logica moderna''. Life William was probably born in Nottinghamshire, between 1200 and 1210. In common with many educated English men of that time, he may have studied at Oxford University or the University of Paris, or both. There are examples in his logical work which suggest he was a master at Paris. (For ...
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Peter Of Spain (author)
__NOTOC__ Peter of Hispania ( la, Petrus Hispanus; Portuguese and es, Pedro Hispano; century) was the author of the ', later known as the ', an important medieval university textbook on Aristotelian logic. As the Latin ''Hispania'' was considered to include the entire Iberian Peninsula, he is traditionally and usually identified with the medieval Portuguese scholar and ecclesiastic Peter Juliani, who was elected Pope John XXI in 1276. The identification is sometimes disputed, usually by Spanish authors, who claim the author of the ' was a Castilian Blackfriar. He is also sometimes identified as Petrus Ferrandi Hispanus ( 1254  1259). Life The author of the ' is assumed to have studied under John Pagus. Philosophical works There are a large volume of manuscripts and printed editions of the ', indicative of its great success throughout European universities well into the seventeenth century. The most recent edition is Peter of Hispania (Petrus Hispanus Portugalensis), ' ...
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Categorical Proposition
In logic, a categorical proposition, or categorical statement, is a proposition that asserts or denies that all or some of the members of one category (the ''subject term'') are included in another (the ''predicate term''). The study of arguments using categorical statements (i.e., syllogisms) forms an important branch of deductive reasoning that began with the Ancient Greeks. The Ancient Greeks such as Aristotle identified four primary distinct types of categorical proposition and gave them standard forms (now often called ''A'', ''E'', ''I'', and ''O''). If, abstractly, the subject category is named ''S'' and the predicate category is named ''P'', the four standard forms are: *All ''S'' are ''P''. (''A'' form, \forall _\rightarrow P_xequiv \forall neg S_\lor P_x/math>) *No ''S'' are ''P''. (''E'' form, \forall _\rightarrow \neg P_xequiv \forall neg S_\lor \neg P_x/math>) *Some ''S'' are ''P''. (''I'' form, \exists _\land P_x/math>) *Some ''S'' are not ''P''. (''O'' form, \ex ...
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Hypothetical Syllogism
In classical logic, a hypothetical syllogism is a valid argument form, a syllogism with a conditional statement for one or both of its premises. An example in English: :If I do not wake up, then I cannot go to work. :If I cannot go to work, then I will not get paid. :Therefore, if I do not wake up, then I will not get paid. The term originated with Theophrastus. Propositional logic In propositional logic, hypothetical syllogism is the name of a valid rule of inference (often abbreviated HS and sometimes also called the chain argument, chain rule, or the principle of transitivity of implication). The rule may be stated: :\frac where the rule is that whenever instances of "P \to Q", and "Q \to R" appear on lines of a proof, "P \to R" can be placed on a subsequent line. Hypothetical syllogism is closely related and similar to disjunctive syllogism, in that it is also a type of syllogism, and also the name of a rule of inference. Applicability The rule of hypothetical syllogi ...
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Disjunctive Syllogism
In classical logic, disjunctive syllogism (historically known as ''modus tollendo ponens'' (MTP), Latin for "mode that affirms by denying") is a valid argument form which is a syllogism having a disjunctive statement for one of its premises. An example in English: # The breach is a safety violation, or it is not subject to fines. # The breach is not a safety violation. # Therefore, it is not subject to fines. Propositional logic In propositional logic, disjunctive syllogism (also known as disjunction elimination and or elimination, or abbreviated ∨E), is a valid rule of inference. If we are told that at least one of two statements is true; and also told that it is not the former that is true; we can infer that it has to be the latter that is true. If ''P'' is true or ''Q'' is true and ''P'' is false, then ''Q'' is true. The reason this is called "disjunctive syllogism" is that, first, it is a syllogism, a three-step argument, and second, it contains a logical disjunct ...
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Syllogism
A syllogism ( grc-gre, συλλογισμός, ''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 BCE book '' Prior Analytics''), a 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 a ...
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Immanuel Kant
Immanuel Kant (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and aesthetics have made him one of the most influential figures in modern Western philosophy. In his doctrine of transcendental idealism, Kant argued that space and time are mere "forms of intuition" which structure all experience, and therefore that, while " things-in-themselves" exist and contribute to experience, they are nonetheless distinct from the objects of experience. From this it follows that the objects of experience are mere "appearances", and that the nature of things as they are in themselves is unknowable to us. In an attempt to counter the skepticism he found in the writings of philosopher David Hume, he wrote the '' Critique of Pure Reason'' (1781/1787), one of his most well-known works. In it, he developed his theory of ...
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Association Of Ideas
Association of ideas, or mental association, is a process by which representations arise in consciousness, and also for a principle put forward by an important historical school of thinkers to account generally for the succession of mental phenomena. The term is now used mostly in the history of philosophy and of psychology. One idea was thought to follow another in consciousness if it were associated by some principle. The three commonly asserted principles of association were similarity, contiguity, and contrast, numerous others had been added by the nineteenth century. By the end of the nineteenth century physiological psychology Physiological psychology is a subdivision of behavioral neuroscience (biological psychology) that studies the neural mechanisms of perception and behavior through direct manipulation of the brains of nonhuman animal subjects in controlled experimen ... was so altering the approach to this subject that much of the older associationist theory was rejected. ...
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David Hume
David Hume (; born David Home; 7 May 1711 NS (26 April 1711 OS) – 25 August 1776) Cranston, Maurice, and Thomas Edmund Jessop. 2020 999br>David Hume" ''Encyclopædia Britannica''. Retrieved 18 May 2020. was a Scottish Enlightenment philosopher, historian, economist, librarian, and essayist, who is best known today for his highly influential system of philosophical empiricism, scepticism, and naturalism. Beginning with '' A Treatise of Human Nature'' (1739–40), Hume strove to create a naturalistic science of man that examined the psychological basis of human nature. Hume argued against the existence of innate ideas, positing that all human knowledge derives solely from experience. This places him with Francis Bacon, Thomas Hobbes, John Locke, and George Berkeley as an Empiricist. Hume argued that inductive reasoning and belief in causality cannot be justified rationally; instead, they result from custom and mental habit. We never actually perceive that one event caus ...
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