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Category (Kant)
In Immanuel Kant's philosophy, a category ( 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'', meaning "that whi ...
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Immanuel Kant
Immanuel Kant (born Emanuel Kant; 22 April 1724 – 12 February 1804) was a German Philosophy, philosopher and one of the central Age of Enlightenment, 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 and highly discussed figures in modern Western philosophy. In his doctrine of transcendental idealism, Kant argued that space and time are mere "forms of intuition" that structure all experience and that the objects of experience are mere "appearances". The nature of things as they are in themselves is unknowable to us. Nonetheless, in an attempt to counter the philosophical doctrine of Philosophical skepticism, skepticism, he wrote the ''Critique of Pure Reason'' (1781/1787), his best-known work. Kant drew a parallel to the Copernican Revolution#Immanuel Kant, Copernican Revolution in his proposal to think of the objects of experience as confo ...
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Grammatical Number
In linguistics, grammatical number is a Feature (linguistics), feature of nouns, pronouns, adjectives and verb agreement (linguistics), agreement that expresses count distinctions (such as "one", "two" or "three or more"). English and many other languages present number categories of singular or plural. Some languages also have a Dual (grammatical number), dual, #Trial, trial and #Paucal, paucal number or other arrangements. 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 many other languages, involves a simple two-way contrast between singular and plural number (''car''/''cars'', ''child''/''children'', etc.). Discussion ...
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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, of its particularity. Other similar events, living beings, objects, persons or circumstances may exist, but never the same entity. The theory of quantum mechanics (QM) suggests that the ''principle of unicity'' is invalid. In other words, no physical system, physical process, or object has a ''unique'' and ''complete'' description. Instead, QM, the most successfully tested and proven theoretical framework, stipulates that all physical reality can be described in multiple alternative, incompatible ways, using independent descriptions that cannot be contrasted, compared, or combined. The principle of unicity implies that every conceivable property of a particular physical system will be either ''true'' or ''false'', as observable experiments can either confirm or reject the property, as implied by the unique and exhaustive prope ...
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Kantian Architectonics
In Kantian philosophy, a transcendental schema (plural: ''schemata''; from , 'form, shape, figure') is the procedural rule by which a category or pure, non-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 formal to the most empirical: "Kant develops his system of corporeal nature in the following way. He starts in the ''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 categories of the understanding, and then to the schematized categories, and finally to the transcendental principles of nature ...
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Apodicticity
"Apodictic", also spelled "apodeictic" (, "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 Unabridged Dictionary, Random House, Inc. (2006),

Assertoric
Assertoric is an adjectival expression in Aristotelian logic that refers to propositions which merely assert that something is (or is not) the case. Assertoricity is the corresponding abstract noun. ''Assertoric propositions'' contrast with problematic propositions which assert the possibility of something being true, and 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 an English 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 .. ...
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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 effect ...
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Logical Disjunction
In logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as \lor and read aloud as "or". For instance, the English language sentence "it is sunny or it is warm" can be represented in logic using the disjunctive formula S \lor W , assuming that S abbreviates "it is sunny" and W abbreviates "it is warm". 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 ...
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Hypothetical Question
A thought experiment is an imaginary scenario that is meant to elucidate or test an argument or theory. It is often an experiment that would be hard, impossible, or unethical to actually perform. It can also be an abstract hypothetical that is meant to test our intuitions about morality or other fundamental philosophical questions. History The ancient Greek , "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 equivalent German term . Ørsted was also the first to use the equivalent term in 1820. By 1883, Ernst Mach used in a different sense, 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 provi ...
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Categorical Imperative
The categorical imperative () is the central philosophical concept in the deontological Kantian ethics, moral philosophy of Immanuel Kant. Introduced in Kant's 1785 ''Groundwork of the Metaphysics 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 (philosophy), 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, rational being (Kantian ethics), rational 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) t ...
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Relation Of Ideas
Relation or relations may refer to: General uses * International relations, the study of interconnection of politics, economics, and law on a global level * Interpersonal relationship, association or acquaintance between two or more people * Public relations, managing the spread of information to the public * Sexual relations, or human sexual activity * Social relation, in social science, any social interaction between two or more individuals Logic and philosophy * Relation (philosophy), links between properties of an object * Relational theory, framework to understand reality or a physical system Mathematics A finitary or ''n''-ary relation is a set of ''n''-tuples. Specific types of relations include: * Relation (mathematics) (an elementary treatment of binary relations) * Binary relation (or diadic relation – a more in-depth treatment of binary relations) * Equivalence relation * Homogeneous relation * Reflexive relation * Serial relation * Ternary relation ...
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Infinity
Infinity is something which is boundless, endless, or larger than any natural number. It is denoted by \infty, called the infinity symbol. From the time of the Ancient Greek mathematics, ancient Greeks, the Infinity (philosophy), philosophical nature of infinity has been 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 Guillaume de l'Hôpital, l'Hôpital and Johann Bernoulli, 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 (mathematics), 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 ...
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