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David Clement Makinson (born 27 August 1941) is an Australian logician living in France.[ citation needed ]
Makinson began his studies at the University of Sydney in 1958 and completed them at Oxford University in 1965, with a D.Phil on modal logic under Michael Dummett. He worked in the American University of Beirut (1965-1982), UNESC0 (1980-2001), King’s College London (2002-2006), the London School of Economics (LSE) (2006-2019), and currently holds a position of Honorary Associate Professor at the University of Queensland.[ citation needed ]
David Makinson works across a number of areas of logic, including modal logic, deontic logic, belief revision, uncertain reasoning, relevance-sensitive logic and, more recently, topics in the history of logic. Among his contributions: in 1965, as a graduate student, he identified the preface paradox and adapted the method of maximal consistent sets for proving completeness results in modal logic[ citation needed ]; in 1969 he discovered the first simple and natural propositional logic lacking the finite model property[ citation needed ]; in the 1980s, with Carlos Alchourrón and Peter Gärdenfors, he created the AGM account of belief change[ citation needed ]; in the early 2000s, with Leon van der Torre, he created input/output logic; in 2017 he adapted the method of truth-trees to relevance-sensitive logic. [ citation needed ]
Saul Aaron Kripke was an American 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. Since the 1960s, he has been a central figure in a number of fields related to mathematical and modal logic, philosophy of language and mathematics, metaphysics, epistemology, and recursion theory.
Understood in a narrow sense, philosophical logic is the area of logic that studies the application of logical methods to philosophical problems, often in the form of extended logical systems like modal logic. Some theorists conceive philosophical logic in a wider sense as the study of the scope and nature of logic in general. In this sense, philosophical logic can be seen as identical to the philosophy of logic, which includes additional topics like how to define logic or a discussion of the fundamental concepts of logic. The current article treats philosophical logic in the narrow sense, in which it forms one field of inquiry within the philosophy of logic.
Arthur Norman Prior, usually cited as A. N. Prior, was a New Zealand–born logician and philosopher. Prior (1957) founded tense logic, now also known as temporal logic, and made important contributions to intensional logic, particularly in Prior (1971).
Modal logic is a kind of logic used to represent statements about necessity and possibility. It plays a major role in philosophy and related fields as a tool for understanding concepts such as knowledge, obligation, and causation. For instance, in epistemic modal logic, the formula can be used to represent the statement that is known. In deontic modal logic, that same formula can represent that is a moral obligation. Modal logic considers the inferences that modal statements give rise to. For instance, most epistemic modal logics treat the formula as a 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.
George Stephen Boolos was an American philosopher and a mathematical logician who taught at the Massachusetts Institute of Technology.
A propositional attitude is a mental state held by an agent or organism toward a proposition. In philosophy, propositional attitudes can be considered to be neurally-realized causally efficacious content-bearing internal states. Linguistically, propositional attitudes are denoted by a verb governing an embedded "that" clause, for example, 'Sally believed that she had won'.
A possible world is a complete and consistent way the world is or could have been. Possible worlds are widely used as a formal device in logic, philosophy, and linguistics in order to provide a semantics for intensional and modal logic. Their metaphysical status has been a subject of controversy in philosophy, with modal realists such as David Lewis arguing that they are literally existing alternate realities, and others such as Robert Stalnaker arguing that they are not.
Kripke semantics is a formal semantics for non-classical logic systems created in the late 1950s and early 1960s by Saul Kripke and André Joyal. It was first conceived for modal logics, and later adapted to intuitionistic logic and other non-classical systems. The development of Kripke semantics was a breakthrough in the theory of non-classical logics, because the model theory of such logics was almost non-existent before Kripke.
Kaarlo Jaakko Juhani Hintikka was a Finnish philosopher and logician. Hintikka is regarded as the founder of formal epistemic logic and of game semantics for logic.
Giorgi Japaridze is a Georgian-American researcher in logic and theoretical computer science. He currently holds the title of Full Professor at the Computing Sciences Department of Villanova University. Japaridze is best known for his invention of computability logic, cirquent calculus, and Japaridze's polymodal logic.
The belief–desire–intention software model (BDI) is a software model developed for programming intelligent agents. Superficially characterized by the implementation of an agent's beliefs, desires and intentions, it actually uses these concepts to solve a particular problem in agent programming. In essence, it provides a mechanism for separating the activity of selecting a plan from the execution of currently active plans. Consequently, BDI agents are able to balance the time spent on deliberating about plans and executing those plans. A third activity, creating the plans in the first place (planning), is not within the scope of the model, and is left to the system designer and programmer.
Epistemic modal logic is a subfield of modal logic that is concerned with reasoning about knowledge. While epistemology has a long philosophical tradition dating back to Ancient Greece, epistemic logic is a much more recent development with applications in many fields, including philosophy, theoretical computer science, artificial intelligence, economics, and linguistics. While philosophers since Aristotle have discussed modal logic, and Medieval philosophers such as Avicenna, Ockham, and Duns Scotus developed many of their observations, it was C. I. Lewis who created the first symbolic and systematic approach to the topic, in 1912. It continued to mature as a field, reaching its modern form in 1963 with the work of Kripke.
Sergei Ivanovich Adian, also Adyan, was a Soviet and Armenian mathematician. He was a professor at the Moscow State University and was known for his work in group theory, especially on the Burnside problem.
The lottery paradox arises from Henry E. Kyburg Jr. considering a fair 1,000-ticket lottery that has exactly one winning ticket. If that much is known about the execution of the lottery, it is then rational to accept that some ticket will win.
Paul Gochet was a Belgian logician, philosopher, and emeritus professor of the University of Liège. His research was mainly in the fields of logic and analytic philosophy. He is perhaps best known for his works on Quine's philosophy.
Rohit Jivanlal Parikh is an Indian-American mathematician, logician, and philosopher who has worked in many areas in traditional logic, including recursion theory and proof theory. He is a Distinguished Professor at Brooklyn College at the City University of New York (CUNY).
The preface paradox, or the paradox of the preface, was introduced by David Makinson in 1965. Similar to the lottery paradox, it presents an argument according to which it can be rational to accept mutually incompatible beliefs. While the preface paradox nullifies a claim contrary to one's belief, it is opposite to Moore's paradox which asserts a claim contrary to one's belief.
Meaning and Necessity: A Study in Semantics and Modal Logic is a book about semantics and modal logic by the philosopher Rudolf Carnap. The book, in which Carnap discusses the nature of linguistic expressions, was a continuation of his previous work in semantics in Introduction to Semantics (1942) and Formalization of Logic (1943). Considered an important discussion of semantics, it was influential and provided a basis for further developments in modal logic.
Leendert (Leon) van der Torre is a professor of computer science at the University of Luxembourg and head of the Individual and Collective Reasoning (ICR) group, part of the Computer Science and Communication (CSC) Research Unit. Leon van der Torre is a prolific researcher in deontic logic and multi-agent systems, a member of the Ethics Advisory Committee of the University of Luxembourg and founder of the CSC Robotic research laboratory. Since March 2016 he is the head of the Computer Science and Communication (CSC) Research Unit.
André Fuhrmann is a Professor of Philosophy and Logic at the Goethe University Frankfurt.