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Truth-bearer
A truth-bearer is an entity that is said to be either true or false and nothing else. The thesis that some things are true while others are false has led to different theories about the nature of these entities. Since there is divergence of opinion on the matter, the term ''truth-bearer'' is used to be neutral among the various theories. Truth-bearer candidates include propositions, sentences, sentence-tokens, statements, beliefs, thoughts, intuitions, utterances, and judgements but different authors exclude one or more of these, deny their existence, argue that they are true only in a derivative sense, assert or assume that the terms are synonymous, or seek to avoid addressing their distinction or do not clarify it. Introduction Some distinctions and terminology as used in this article, based on Wolfram 1989 (Chapter 2 Section1) follow. ''It should be understood that the terminology described is not always used in the ways set out, and it is introduced solely for the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation theory. Informal logic examines arguments expressed in natural language whereas formal logic uses formal language. When used as a countable noun, the term "a logic" refers to a specific logical formal system that articulates a proof system. Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have to wor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Truth
Truth or verity is the Property (philosophy), property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth, 2005 In everyday language, it is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs, propositions, and declarative sentences. True statements are usually held to be the opposite of false statement, false statements. The concept of truth is discussed and debated in various contexts, including philosophy, art, theology, law, and science. Most human activities depend upon the concept, where its nature as a concept is assumed rather than being a subject of discussion, including journalism and everyday life. Some philosophers view the concept of truth as basic, and unable to be explained in any terms that are more easily understood than the concept of truth itself. Most commonly, truth is viewed as the correspondence of language or thought to a mind-independent world. This is called the correspon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proposition
A proposition is a statement that can be either true or false. It is a central concept in the philosophy of language, semantics, logic, and related fields. Propositions are the object s denoted by declarative sentences; for example, "The sky is blue" expresses the proposition that the sky is blue. Unlike sentences, propositions are not linguistic expressions, so the English sentence "Snow is white" and the German "Schnee ist weiß" denote the same proposition. Propositions also serve as the objects of belief and other propositional attitudes, such as when someone believes that the sky is blue. Formally, propositions are often modeled as functions which map a possible world to a truth value. For instance, the proposition that the sky is blue can be modeled as a function which would return the truth value T if given the actual world as input, but would return F if given some alternate world where the sky is green. However, a number of alternative formalizations have be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Formal Language
In logic, mathematics, computer science, and linguistics, a formal language is a set of strings whose symbols are taken from a set called "alphabet". The alphabet of a formal language consists of symbols that concatenate into strings (also called "words"). Words that belong to a particular formal language are sometimes called ''well-formed words''. A formal language is often defined by means of a formal grammar such as a regular grammar or context-free grammar. In computer science, formal languages are used, among others, as the basis for defining the grammar of programming languages and formalized versions of subsets of natural languages, in which the words of the language represent concepts that are associated with meanings or semantics. In computational complexity theory, decision problems are typically defined as formal languages, and complexity classes are defined as the sets of the formal languages that can be parsed by machines with limited computational power. In ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sybil Wolfram
Sybil Wolfram (born Sybille Misch; 1 July 1931 – 26 July 1993) was an English philosopher and writer, of Austrian Jewish origin. She studied at Somerville College, Oxford and was a Fellow and Tutor in philosophy at Lady Margaret Hall at University of Oxford from 1964 to 1993. Work She published two books, ''Philosophical Logic: An Introduction'' (1989) and ''In-laws and Outlaws: Kinship and Marriage in England'' (1987). She was the translator of Claude Lévi-Strauss's ''La pensée sauvage'' (''The Savage Mind''), but later disavowed the translation when she discovered the publisher had made changes to the translation that neither she nor Lévi-Strauss had authorized. Personal life She was the daughter of criminologist and psychoanalyst Kate Friedlander (1902–1949), an expert on the subject of juvenile delinquency, and the physician Walter Misch (1889–1943) who, together, wrote ''Die vegetative Genese der neurotischen Angst und ihre medikamentöse Beseitigung''. After t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Type–token Distinction
The type–token distinction is the difference between a ''type'' of objects (analogous to a ''class'') and the individual ''tokens'' of that type (analogous to ''instances''). Since each type may be instantiated by multiple tokens, there are generally more tokens than types of an object. For example, the sentence "A Rose is a rose is a rose" contains three word types: three word tokens of the type ''a'', two word tokens of the type ''is,'' and three word tokens of the type ''rose''. The distinction is important in disciplines such as logic, linguistics, metalogic, typography, and computer programming. Overview The type–token distinction separates ''types'' (abstract descriptive concepts) from ''tokens'' (objects that instantiate concepts). For example, in the sentence "''the bicycle is becoming more popular''" the word ''bicycle'' represents the abstract concept of bicycles and this abstract concept is a type, whereas in the sentence "''the bicycle is in the garage''", it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Use–mention Distinction
In analytic philosophy, a fundamental distinction is made between the use of a term and the mere mention of it.Devitt and Sterelny (1999) pp. 40–1. W. V. O. Quine (1940) p. 24. Many philosophical works have been "vitiated by a failure to distinguish use and mention." The distinction can sometimes be pedantic, especially in simple cases where it is obvious. The distinction between use and mention can be illustrated with the word "cheese": # Use: Cheese is derived from milk. # Mention: "Cheese" is derived from the Old English word . The first sentence is a statement about the substance called "cheese": it the word "cheese" to refer to that substance. The second is a statement about the word "cheese" as a signifier: it the word without using it to refer to anything other than itself. Overview In written language, words or phrases often appear between single or double quotation marks or in italics. In philosophy, single quotation marks are typically used, while in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philosophy
Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational and critical inquiry that reflects on its methods and assumptions. Historically, many of the individual sciences, such as physics and psychology, formed part of philosophy. However, they are considered separate academic disciplines in the modern sense of the term. Influential traditions in the history of philosophy include Western philosophy, Western, Islamic philosophy, Arabic–Persian, Indian philosophy, Indian, and Chinese philosophy. Western philosophy originated in Ancient Greece and covers a wide area of philosophical subfields. A central topic in Arabic–Persian philosophy is the relation between reason and revelation. Indian philosophy combines the Spirituality, spiritual problem of how to reach Enlightenment in Buddhism, enlighten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Explanation
An explanation is a set of statements usually constructed to describe a set of facts that clarifies the causes, context, and consequences of those facts. It may establish rules or laws, and clarifies the existing rules or laws in relation to any objects or phenomena examined. In philosophy, an explanation is a set of statements which render understandable the existence or occurrence of an object, event, or state of affairs. Among its most common forms are: * Causal explanation * Deductive-nomological explanation, involves subsuming the explanandum under a generalization from which it may be derived in a deductive argument. For example, “All gases expand when heated; this gas was heated; therefore, this gas expanded". * Statistical explanation, involves subsuming the explanandum under a generalization that gives it inductive support. For example, “Most people who use tobacco contract cancer; this person used tobacco; therefore, this person contracted cancer”. Explan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Well-formed Formula
In mathematical logic, propositional logic and predicate logic, a well-formed formula, abbreviated WFF or wff, often simply formula, is a finite sequence of symbols from a given alphabet that is part of a formal language. The abbreviation wff is pronounced "woof", or sometimes "wiff", "weff", or "whiff". A formal language can be identified with the set of formulas in the language. A formula is a syntactic object that can be given a semantic meaning by means of an interpretation. Two key uses of formulas are in propositional logic and predicate logic. Introduction A key use of formulas is in propositional logic and predicate logic such as first-order logic. In those contexts, a formula is a string of symbols φ for which it makes sense to ask "is φ true?", once any free variables in φ have been instantiated. In formal logic, proofs can be represented by sequences of formulas with certain properties, and the final formula in the sequence is what is proven. Alth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
