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Temporal Logic
In logic, temporal logic is any system of rules and symbolism for representing, and reasoning about, propositions qualified in terms of time (for example, "I am ''always'' hungry", "I will ''eventually'' be hungry", or "I will be hungry ''until'' I eat something"). It is sometimes also used to refer to tense logic, a modal logic-based system of temporal logic introduced by Arthur Prior in the late 1950s, with important contributions by Hans Kamp. It has been further developed by computer scientists, notably Amir Pnueli, and logicians. Temporal logic has found an important application in formal verification, where it is used to state requirements of hardware or software systems. For instance, one may wish to say that ''whenever'' a request is made, access to a resource is ''eventually'' granted, but it is ''never'' granted to two requestors simultaneously. Such a statement can conveniently be expressed in a temporal logic. Motivation Consider the statement "I am hungry". Though it ... [...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] |
Jerzy Łoś
Jerzy Łoś (; born 22 March 1920 in Lwów, Poland (now Lviv, Ukraine) – 1 June 1998 in Warsaw) was a Polish mathematician, logician, economist, and philosopher. He is especially known for his work in model theory, in particular for "Ultraproduct#Łoś's theorem, Łoś's theorem", which states that any first-order predicate calculus, first-order formula is true in an ultraproduct if and only if it is true in "most" factors (see ultraproduct for details). In model theory he also proved many preservation theorems, but he gave significant contributions, as well, to foundations of mathematics, Abelian group, Abelian group theory and universal algebra. In the 60's he turned his attention to mathematical economics, focusing mainly on production processes and dynamic decision processes. He was faculty at academies in Wrocław, Toruń, and Warsaw. In 1996, Łoś suffered from a severe brain stroke. He was thenceforward ill until his death in 1998. Selected publication * Łoś, Jerzy ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicholas Rescher
Nicholas Rescher (; ; 15 July 1928 – 5 January 2024) was a German-born American philosopher, polymath, and author, who was a professor of philosophy at the University of Pittsburgh from 1961. He was chairman of the Center for Philosophy of Science and chairman of the philosophy department. Rescher served as president of the American Catholic Philosophical Association, Leibniz Society of North America, American Metaphysical Society, American Philosophical Association, and Charles S. Peirce Society. He was the founder of '' American Philosophical Quarterly'', '' History of Philosophy Quarterly'', and '' Public Affairs Quarterly''. He died in Pittsburgh on January 5, 2024, at the age of 95. Early life and education Rescher was born in Hagen in the Westphalia region of Germany. In his autobiography he traces his descent to Nehemias Rescher (1735–1801), a founder of the Hochberg-Remseck Jewish community in Swabian Germany. He relocated to the United States when he was 10 an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hamblin Implications
Hamblin may refer to: People * Hamblin (surname) * Thomas Sowerby Hamblin, British actor and theatre manager * Henry Thomas Hamblin, British author * Robert W. Hamblin, professor and author * Hamblin González, Nicaraguan cyclist Places * Hamblin, Utah * Hamblin Bay, in Lake Mead See also * Lee–Hamblin family * Hamlin (other) {{disambiguation, geo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles Leonard Hamblin
Charles Leonard Hamblin (20 November 1922 – 14 May 1985) was an Australian philosopher, logician, and computer pioneer, as well as a professor of philosophy at the New South Wales University of Technology (now the University of New South Wales) in Sydney. Among his most well-known achievements in the area of computer science was the introduction of Reverse Polish Notation and the use in 1957 of a push-down pop-up stack. This preceded the work of Friedrich Ludwig Bauer and Klaus Samelson on use of a push-pop stack. The stack had been invented by Alan Turing in 1946 when he introduced such a stack in his design of the ACE computer. In philosophy, Hamblin is known for his book ''Fallacies'', a standard work in the area of the false conclusions in logic. In formal semantics, Hamblin is known for his computational model of discourse as well as Hamblin semantics (or alternative semantics), an approach to the semantics of questions. Career and life Hamblin was born in Peter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saul Kripke
Saul Aaron Kripke (; November 13, 1940 – September 15, 2022) was an American analytic philosophy, analytic philosopher and logician. He was Distinguished Professor of Philosophy at the Graduate Center of the City University of New York and emeritus professor at Princeton University. From the 1960s until his death, he was a central figure in a number of fields related to mathematical logic, mathematical and modal logic, philosophy of language and philosophy of mathematics, mathematics, metaphysics, epistemology, and recursion theory. Kripke made influential and original contributions to logic, especially modal logic. His principal contribution is a semantics for modal logic involving possible worlds, now called Kripke semantics. He received the 2001 Schock Prize in Logic and Philosophy. Kripke was also partly responsible for the revival of metaphysics and Scientific essentialism, essentialism after the decline of logical positivism, claiming Metaphysical necessity, necessity is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modal Operator
A modal connective (or modal operator) is a logical connective for modal logic. It is an operator which forms propositions from propositions. In general, a modal operator has the "formal" property of being non- truth-functional in the following sense: The truth-value of composite formulae sometimes depend on factors other than the actual truth-value of their components. In the case of alethic modal logic, a modal operator can be said to be truth-functional in another sense, namely, that of being sensitive only to the distribution of truth-values across possible worlds, actual or not. Finally, a modal operator is "intuitively" characterized by expressing a modal attitude (such as necessity, possibility, belief, or knowledge) about the proposition to which the operator is applied. Syntax for modal operators The syntax rules for modal operators \Box and \Diamond are very similar to those for universal and existential quantifiers; In fact, any formula with modal operators \Box and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Propositional Logic
The propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. Sometimes, it is called ''first-order'' propositional logic to contrast it with System F, but it should not be confused with first-order logic. It deals with propositions (which can be true or false) and relations between propositions, including the construction of arguments based on them. Compound propositions are formed by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction, implication, biconditional, and negation. Some sources include other connectives, as in the table below. Unlike first-order logic, propositional logic does not deal with non-logical objects, predicates about them, or quantifiers. However, all the machinery of propositional logic is included in first-order logic and higher-order logics. In this sense, propositional logi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Oxford
The University of Oxford is a collegiate university, collegiate research university in Oxford, England. There is evidence of teaching as early as 1096, making it the oldest university in the English-speaking world and the List of oldest universities in continuous operation, second-oldest continuously operating university globally. It expanded rapidly from 1167, when Henry II of England, Henry II prohibited English students from attending the University of Paris. When disputes erupted between students and the Oxford townspeople, some Oxford academics fled northeast to Cambridge, where they established the University of Cambridge in 1209. The two English Ancient university, ancient universities share many common features and are jointly referred to as ''Oxbridge''. The University of Oxford comprises 43 constituent colleges, consisting of 36 Colleges of the University of Oxford, semi-autonomous colleges, four permanent private halls and three societies (colleges that are depar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wellington
Wellington is the capital city of New Zealand. It is located at the south-western tip of the North Island, between Cook Strait and the Remutaka Range. Wellington is the third-largest city in New Zealand (second largest in the North Island), and is the administrative centre of the Wellington Region. It is the world's southernmost capital of a sovereign state. Wellington features a temperate maritime climate, and is the world's windiest city by average wind speed. Māori oral tradition tells that Kupe discovered and explored the region in about the 10th century. The area was initially settled by Māori iwi such as Rangitāne and Muaūpoko. The disruptions of the Musket Wars led to them being overwhelmed by northern iwi such as Te Āti Awa by the early 19th century. Wellington's current form was originally designed by Captain William Mein Smith, the first Surveyor General for Edward Wakefield's New Zealand Company, in 1840. Smith's plan included a series of inter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Predestination
Predestination, in theology, is the doctrine that all events have been willed by God, usually with reference to the eventual fate of the individual soul. Explanations of predestination often seek to address the paradox of free will, whereby God's omniscience seems incompatible with human free will. In this usage, predestination can be regarded as a form of religious determinism; and usually predeterminism, also known as theological determinism. History Pre-Christian period Some have argued that the Book of Enoch contains a deterministic worldview that is combined with dualism. The book of Jubilees seems to harmonize or mix together a doctrine of free will and determinism. Ben Sira affirms free will, where God allows a choice of bad or good before the human and thus they can choose which one to follow. New Testament period There is some disagreement among scholars regarding the views on predestination of first-century AD Judaism, out of which Christianity came. Josephus ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
