Categories Of Understanding
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Categories Of Understanding
In Immanuel Kant's philosophy, a category (german: Categorie in the original or ''Kategorie'' in modern German) is a pure concept of the understanding (''Verstand''). A Kantian category is a characteristic of the appearance of any object in general, before it has been experienced (''a priori''). Following Aristotle, Kant uses the term ''categories'' to describe the "pure concepts of the understanding, which apply to objects of intuition in general ''a priori''…" Kant further wrote about the categories: "They are concepts of an object in general, by means of which its intuition is regarded as determined with regard to one of the logical functions for judgments." The categories are the condition of the possibility of objects in general, that is, objects as such, any and all objects, not specific objects in particular. Kant enumerated twelve distinct but thematically related categories. Meaning of "category" The word comes from the Greek κατηγορία, ''katēgoria'', mean ...
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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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Grammatical Number
In linguistics, grammatical number is a grammatical category of nouns, pronouns, adjectives and verb agreement that expresses count distinctions (such as "one", "two" or "three or more"). English and other languages present number categories of singular or plural, both of which are cited by using the hash sign (#) or by the numero signs "No." and "Nos." respectively. Some languages also have a dual, trial and paucal number or other arrangements. The count distinctions typically, but not always, correspond to the actual count of the referents of the marked noun or pronoun. The word "number" is also used in linguistics to describe the distinction between certain grammatical aspects that indicate the number of times an event occurs, such as the semelfactive aspect, the iterative aspect, etc. For that use of the term, see "Grammatical aspect". Overview Most languages of the world have formal means to express differences of number. One widespread distinction, found in English and ...
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Unicity (philosophy)
The principle of unicity explains that each event, each living being, each object, each person or each circumstance has the characteristic of its uniqueness Uniqueness is a state or condition wherein someone or something is unlike anything else in comparison, or is remarkable, or unusual. When used in relation to humans, it is often in relation to a person's personality, or some specific characterist ..., of its particularity. Other similar events, living beings, objects, persons or circumstances may exist, but never the same entity. References Uniqueness {{philo-concept-stub ...
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Kantian Architectonics
In Immanuel Kant, Kantian philosophy, a transcendental schema (plural: ''schemata''; from grc-gre, σχῆμα, "form, shape, figure") is the procedural rule by which a Category (Kant), category or pure, non-Empiricism, empirical concept is associated with a sense impression. A private, subjective intuition is thereby discursively thought to be a representation of an external object. Transcendental schemata are supposedly produced by the imagination in relation to time. Role in Kant's architectonic system Kant created an architectonic system in which there is a progression of phases from the most Substantial form, formal to the most empirical: "Kant develops his system of corporeal nature in the following way. He starts in the ''Critique of Pure Reason, Critique'' with the most formal act of human cognition, called by him the transcendental unity of apperception, and its various aspects, called the logical functions of judgment. He then proceeds to the pure Category (Kant), cat ...
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Apodicticity
"Apodictic", also spelled "apodeictic" ( grc, ἀποδεικτικός, "capable of demonstration"), is an adjectival expression from Aristotelean logic that refers to propositions that are demonstrably, necessarily or self-evidently true.Dictionary definitions of apodictic
from dictionary.com, including material from the , Random House, Inc. (2006),

Assertoric
An assertoric proposition in Aristotelian logic merely asserts that something is (or is not) the case, in contrast to problematic propositions which assert the possibility of something being true, or apodeictic propositions which assert things which are necessarily or self-evidently true or false.Kant contrasts "apodictic" with "problematic" and "assertoric" in the '' Critique of Pure Reason'', on page A70/B95. For instance, "Chicago is larger than Omaha" is assertoric. "A corporation could be wealthier than a country" is problematic. "Two plus two equals four" is apodeictic. Notes References * Antony Flew Antony Garrard Newton Flew (; 11 February 1923 – 8 April 2010) was a British philosopher. Belonging to the analytic and evidentialist schools of thought, Flew worked on the philosophy of religion. During the course of his career he taught a .... ''A Dictionary of Philosophy – Revised Second Edition'' St. Martin's Press, NY, 1979 External links * Modal logic ...
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Linguistic Modality
In linguistics and philosophy, modality refers to the ways language can express various relationships to reality or truth. For instance, a modal expression may convey that something is likely, desirable, or permissible. Quintessential modal expressions include modal auxiliaries such as "could", "should", or "must"; modal adverbs such as "possibly" or "necessarily"; and modal adjectives such as "conceivable" or "probable". However, modal components have been identified in the meanings of countless natural language expressions, including counterfactuals, propositional attitudes, evidentials, habituals, and generics. Modality has been intensely studied from a variety of perspectives. Within linguistics, typological studies have traced crosslinguistic variation in the strategies used to mark modality, with a particular focus on its interaction with tense–aspect–mood marking. Theoretical linguists have sought to analyze both the propositional content and discourse effects ...
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Logical Disjunction
In logic, disjunction is a logical connective typically notated as \lor and read aloud as "or". For instance, the English language sentence "it is raining or it is snowing" can be represented in logic using the disjunctive formula R \lor S , assuming that R abbreviates "it is raining" and S abbreviates "it is snowing". In classical logic, disjunction is given a truth functional semantics according to which a formula \phi \lor \psi is true unless both \phi and \psi are false. Because this semantics allows a disjunctive formula to be true when both of its disjuncts are true, it is an ''inclusive'' interpretation of disjunction, in contrast with exclusive disjunction. Classical proof theoretical treatments are often given in terms of rules such as disjunction introduction and disjunction elimination. Disjunction has also been given numerous non-classical treatments, motivated by problems including Aristotle's sea battle argument, Heisenberg's uncertainty principle, as well ...
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Hypothetical Question
A thought experiment is a hypothetical situation in which a hypothesis, theory, or principle is laid out for the purpose of thinking through its consequences. History The ancient Greek ''deiknymi'' (), or thought experiment, "was the most ancient pattern of mathematical proof", and existed before Euclidean mathematics, where the emphasis was on the conceptual, rather than on the experimental part of a thought-experiment. Johann Witt-Hansen established that Hans Christian Ørsted was the first to use the German term ' (lit. thought experiment) circa 1812. Ørsted was also the first to use the equivalent term ' in 1820. By 1883 Ernst Mach used the term ' in a different way, to denote exclusively the conduct of a experiment that would be subsequently performed as a by his students. Physical and mental experimentation could then be contrasted: Mach asked his students to provide him with explanations whenever the results from their subsequent, real, physical experiment differed ...
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Categorical Imperative
The categorical imperative (german: kategorischer Imperativ) is the central philosophical concept in the deontological moral philosophy of Immanuel Kant. Introduced in Kant's 1785 ''Groundwork of the Metaphysic of Morals'', it is a way of evaluating motivations for action. It is best known in its original formulation: "Act only according to that maxim whereby you can, at the same time, will that it should become a universal law."It is standard to also reference the ''Akademie Ausgabe'' of Kant's works. The ''Groundwork'' occurs in the fourth volume. Citations throughout this article follow the format 4:x. For example, the above citation is taken from 4:421. According to Kant, sentient beings occupy a special place in creation, and morality can be summed up in an imperative, or ultimate commandment of reason, from which all duties and obligations derive. He defines an ''imperative'' as any proposition declaring a certain action (or inaction) to be necessary. Hypothetical imperati ...
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Relation Of Ideas
In philosophy, a relation is a type of fact that is true or false of two things. For instance, "being taller than" is a relation that is true of "Shaquille O'Neal and Ross Perot" and false of "the Empire State building and Mt. Everest." Substances or things have properties ("this spot is red"). Relations on the other hand obtain between two substances ("this spot is bigger than that spot") or two properties ("this red is a darker shade than that red"). There are two major kinds of relations: ontological and epistemological. Ontological relations are entities like "father", which is a person considered in his relation ''to'' a child. Epistemological relations are often logical connections that obtain between two concepts or ideas, like "entailment." The fact that all men are mortal and that Socrates is a man entails that Socrates is mortal—the relation between Socrates' mortality and the mortality of all men is an entailment relation. Relations in modern philosophy Relation o ...
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Infinity
Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes. For example, if a line is viewed as the set of all o ...
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