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Rigid Designator
In modal logic and the philosophy of language, a term is said to be a rigid designator or absolute substantial term when it designates (picks out, denotes, refers to) the same thing in ''all possible worlds'' in which that thing exists. A designator is ''persistently rigid'' if it also designates nothing in all other possible worlds. A designator is ''obstinately rigid'' if it designates the same thing in every possible world, period, whether or not that thing exists in that world. Rigid designators are contrasted with ''connotative terms'', ''non-rigid'' or ''flaccid designators'', which may designate different things in different possible worlds. History The Scholastic philosophers in the Middle Ages developed a theory of properties of terms in which different classifications of concepts feature prominently. Concepts, and the terms that signify them, can be divided into absolute or connotative, according to the mode in which they signify. If they signify something absolutely, ...
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Modal Logic
Modal logic is a kind of logic used to represent statements about Modality (natural language), necessity and possibility. In philosophy and related fields it is used as a tool for understanding concepts such as knowledge, obligation, and causality, causation. For instance, in epistemic modal logic, the well-formed_formula, formula \Box P can be used to represent the statement that P is known. In deontic modal logic, that same formula can represent that P is a moral obligation. Modal logic considers the inferences that modal statements give rise to. For instance, most epistemic modal logics treat the formula \Box P \rightarrow P as a Tautology_(logic), tautology, representing the principle that only true statements can count as knowledge. However, this formula is not a tautology in deontic modal logic, since what ought to be true can be false. Modal logics are formal systems that include unary operation, unary operators such as \Diamond and \Box, representing possibility and necessi ...
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Definite Descriptions
In formal semantics and philosophy of language, a definite description is a denoting phrase in the form of "the X" where X is a noun-phrase or a singular common noun. The definite description is ''proper'' if X applies to a unique individual or object. For example: " the first person in space" and " the 42nd President of the United States of America" are proper. The definite descriptions "the person in space" and "the Senator from Ohio" are ''improper'' because the noun phrase X applies to more than one thing, and the definite descriptions "the first man on Mars" and "the Senator from Washington D.C." are ''improper'' because X applies to nothing. Improper descriptions raise some difficult questions about the law of excluded middle, denotation, modality, and mental content. Russell's analysis As France is currently a republic, it has no king. Bertrand Russell pointed out that this raises a puzzle about the truth value of the sentence "The present King of France is bald." The ...
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Counterpart Theory
In philosophy, specifically in the area of metaphysics, counterpart theory is an alternative to standard ( Kripkean) possible-worlds semantics for interpreting quantified modal logic. Counterpart theory still presupposes possible worlds, but differs in certain important respects from the Kripkean view. The form of the theory most commonly cited was developed by David Lewis, first in a paper and later in his book ''On the Plurality of Worlds''. Differences from the Kripkean view Counterpart theory (hereafter "CT"), as formulated by Lewis, requires that individuals exist in only one world. The standard account of possible worlds assumes that a modal statement about an individual (e.g., "it is possible that x is y") means that there is a possible world, W, where the individual x has the property y; in this case there is only one individual, x, at issue. On the contrary, counterpart theory supposes that this statement is really saying that there is a possible world, W, wherein exists a ...
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Instantiation Principle
The instantiation principle or principle of instantiation or principle of exemplification is the concept in metaphysics and logic (first put forward by David Malet Armstrong) that there can be no uninstantiated or unexemplified properties Property is the ownership of land, resources, improvements or other tangible objects, or intellectual property. Property may also refer to: Philosophy and science * Property (philosophy), in philosophy and logic, an abstraction characterizing an ... (or universals). In other words, it is impossible for a property to exist which is not had by some object. The existence of properties or universals is not tied to their actual existence now, but to their existence in space-time considered as a whole. Thus, any property which ''is'', ''has been'', or ''will be'' instantiated exists. The property of being red would exist even if all red things were to be destroyed, because it has been instantiated. This broadens the range of properties which exist i ...
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Class (philosophy)
A class is a collection whose members either fall under a predicate or are classified by a rule. Hence, while a set can be extensionally defined only by its elements, a class has also an intensional dimension that unites its members. When the term 'class' is applied so that it includes those sets whose elements are intended to be collected without a common predicate or rule, the distinction can be indicated by calling such sets "improper class." Philosophers sometimes distinguish classes from types and kinds. The ''class'' of human beings is discussed, as well as the ''type'' (or ''natural kind''), human being, or humanity. While both are typically treated as abstract objects and not different categories of being, types not classes are usually treated as universals. Whether natural kinds ought to be considered universals is vexed; see natural kind. Types and kinds are discussed differently. Socrates Socrates (; ; – 399 BC) was a Ancient Greek philosophy, Gr ...
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Necessity Of Identities
In modal logic, the necessity of identity is the thesis that for every object x and object y, if x and y are the same object, it is necessary that x and y are the same object. The thesis is best known for its association with Saul Kripke, who published it in 1971, although it was first derived by the logician Ruth Barcan Marcus in 1947, and later, in simplified form, by W. V. O. Quine in 1953. Kripke's derivation The derivation in Kripke's 'Identity and Necessity' is in three steps: :(1) \forall x \Box (x = x). :(2) \forall x \forall y(x = y \to (\Box (x = x) \to \Box (x = y))). :(3) \forall x \forall y(x = y \to \Box (x = y)) The first premise is simply postulated: every object is identical to itself. The second is an application of the principle of substitutivity: if a = b, then a has all the properties b has, thus from Fa, infer Fb, where F is \Box (a = \_). The third follows by elementary predicate logic. Rigid designation In the later ''Naming and Necessity'', Kripke sugg ...
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Water
Water is an inorganic compound with the chemical formula . It is a transparent, tasteless, odorless, and Color of water, nearly colorless chemical substance. It is the main constituent of Earth's hydrosphere and the fluids of all known living organisms (in which it acts as a solvent). It is vital for all known forms of life, despite not providing food energy or organic micronutrients. Its chemical formula, , indicates that each of its molecules contains one oxygen and two hydrogen atoms, connected by covalent bonds. The hydrogen atoms are attached to the oxygen atom at an angle of 104.45°. In liquid form, is also called "water" at standard temperature and pressure. Because Earth's environment is relatively close to water's triple point, water exists on Earth as a solid, a liquid, and a gas. It forms precipitation in the form of rain and aerosols in the form of fog. Clouds consist of suspended droplets of water and ice, its solid state. When finely divided, crystalline ice ...
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Causal Theory Of Reference
A causal theory of reference or historical chain theory of reference is a theory of how terms acquire specific referents based on evidence. Such theories have been used to describe many referring terms, particularly logical terms, proper names, and natural kind terms. In the case of names, for example, a causal theory of reference typically involves the following claims: * a name's referent is fixed by an original act of naming (also called a "dubbing" or, by Saul Kripke, an "initial baptism"), whereupon the name becomes a rigid designator of that object. * later uses of the name succeed in referring to the referent by being linked to that original act via a causal chain. Weaker versions of the position (perhaps not properly called "causal theories") claim merely that, in many cases, events in the causal history of a speaker's use of the term, including when the term was first acquired, must be considered to correctly assign references to the speaker's words. Causal theories o ...
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Johnny Depp
John Christopher Depp II (born June 9, 1963) is an American actor and musician. He is the recipient of List of awards and nominations received by Johnny Depp, multiple accolades, including a Golden Globe Award as well as nominations for three Academy Awards and two British Academy Film Awards. Johnny Depp filmography, His films, in which he has often played eccentric characters, have grossed over $10.8 billion worldwide. Depp began his career as a musician performing in several amateur rock bands before transitioning into film. He made his feature film debut in the horror film ''A Nightmare on Elm Street'' (1984) and appeared in ''Platoon (film), Platoon'' (1986), before rising to prominence as a teen idol on the television series ''21 Jump Street'' (1987–1990). In the 1990s, Depp portrayed lead roles in ''Arizona Dream'' (1993), ''What's Eating Gilbert Grape'' (1993), ''Benny & Joon'' (1993), ''Dead Man'' (1995) and title characters ''Ed Wood (film), Ed Wood'' (1994), ...
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Scientific Essentialism
Scientific essentialism, a view espoused by Saul Kripke and Hilary Putnam Hilary Whitehall Putnam (; July 31, 1926 – March 13, 2016) was an American philosopher, mathematician, computer scientist, and figure in analytic philosophy in the second half of the 20th century. He contributed to the studies of philosophy of ..., maintains that there exist essential properties that objects possess (or instantiate) necessarily. In other words, having such and such essential properties is a necessary condition for membership in a given natural kind. For example, tigers are tigers in virtue of possessing a particular set of genetic properties, but identifying (or appearance-based) properties are nonessential properties. If a tiger lost a leg, or did not possess stripes, we would still call it a tiger. They are not necessary for being a member of the class of tigers. It is important, however, that the set of essential properties of an object not be used to identify or be identified with th ...
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Taxonomy (biology)
In biology, taxonomy () is the science, scientific study of naming, defining (Circumscription (taxonomy), circumscribing) and classifying groups of biological organisms based on shared characteristics. Organisms are grouped into taxon, taxa (singular: taxon), and these groups are given a taxonomic rank; groups of a given rank can be aggregated to form a more inclusive group of higher rank, thus creating a taxonomic hierarchy. The principal ranks in modern use are domain (biology), domain, kingdom (biology), kingdom, phylum (''division'' is sometimes used in botany in place of ''phylum''), class (biology), class, order (biology), order, family (biology), family, genus, and species. The Swedish botanist Carl Linnaeus is regarded as the founder of the current system of taxonomy, having developed a ranked system known as Linnaean taxonomy for categorizing organisms. With advances in the theory, data and analytical technology of biological systematics, the Linnaean system has transfo ...
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Natural Kind
In the philosophy of science and some other branches of philosophy, a "natural kind" is an intellectual grouping, or categorizing of things, that is reflective of the actual world and not just human interests. Some treat it as a classification identifying some structure of truth and reality that exists whether or not humans recognize it. Others treat it as intrinsically useful to the human mind, but not necessarily reflective of something more objective. Candidate examples of natural kinds are found in all the sciences, but the field of chemistry provides the paradigm example of elements. Alexander Bird and Emma Tobin see natural kinds as relevant to metaphysics, epistemology, and the philosophy of language, as well as the philosophy of science. John Dewey held a view that belief in unconditional natural kinds is a mistake, a relic of obsolete scientific practices. Hilary Putnam rejects descriptivist approaches to natural kinds with semantic reasoning. Hasok Chang and Rasmus Win ...
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