Non-classical logics (and sometimes alternative logics or non-Aristotelian logics) are formal systems that differ in a significant way from standard logical...

An Introduction to Non-Classical Logic is a 2001 mathematics textbook by philosopher and logician Graham Priest, published by Cambridge University Press...

Hájek, Petr (2008). "Review of An Introduction to Non-Classical Logic: From If to Is". The Bulletin of Symbolic Logic. 14 (4): 544–545. doi:10.1017/S1079898600001505...

Classical logic (or standard logic) or Frege–Russell logic is the intensively studied and most widely used class of deductive logic. Classical logic has...

relations. See also Extension (predicate logic) Priest, Graham, 2008. An Introduction to Non-Classical Logic: from If to Is, 2nd ed. Cambridge University Press...

Lou, ed., The Blackwell Guide to Philosophical Logic. Blackwell. For an introduction to non-classical logic as an attempt to find a better translation of...

XX(a)} (every property applies to Adam). Intuitionistic logic is a non-classical variant of propositional and first-order logic. It shares with them many rules...

Jacquette 2006, pp. 1–12, Introduction: Philosophy of logic today; Borchert 2006c, Logic, Non-Classical; Goble 2001, Introduction. Brody 2006, pp. 535–536...

non-classical logic: from if to is. Cambridge University Press. pp. 124–125. ISBN 978-0-521-85433-7. (see also An Introduction to Non-Classical Logic) Morten...

to Philosophical Logic, Continuum International Publishing Group, 2011, ISBN 1-4411-5423-X, p. 199. Graham Priest, An Introduction to Non-Classical Logic:...

Paraconsistent logic is a type of non-classical logic that allows for the coexistence of contradictory statements without leading to a logical explosion...

1/95781. ISBN 978-3-11-018523-2. Priest, Graham (2001-02-22). An Introduction to Non-Classical Logic. Cambridge University Press. pp. 11–12. ISBN 978-0-521-79434-3...

logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by...

In philosophical logic, the concept of an impossible world (sometimes called a non-normal world) is used to model certain phenomena that cannot be adequately...

In logic, a substructural logic is a logic lacking one of the usual structural rules (e.g. of classical and intuitionistic logic), such as weakening,...

and lack certainty. Fuzzy logic has been applied to many fields, from control theory to artificial intelligence. Classical logic only permits conclusions...

Linear logic is a substructural logic proposed by French logician Jean-Yves Girard as a refinement of classical and intuitionistic logic, joining the...

Relevance logic, also called relevant logic, is a kind of non-classical logic requiring the antecedent and consequent of implications to be relevantly...

philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain...

Stronger classical logics such as second-order logic or infinitary logic are also studied, along with Non-classical logics such as intuitionistic logic. First-order...

formal logic, an important distinction is between classical and non-classical logic. The term classical logic refers primarily to propositional logic and...

propositional logic, the double negation of a statement states that "it is not the case that the statement is not true". In classical logic, every statement...

original 1950 edition or was added in a later edition.) 1957: An introduction to practical logic theorem proving in a textbook by Suppes (1999, pp. 25–150)...

classical ideas are often questioned or rejected in more recent developments, such as intuitionistic logic, dialetheism and fuzzy logic. According to...

diagrams (BDD) for logic synthesis and formal verification. Logic sentences that can be expressed in classical propositional calculus have an equivalent expression...

Classical logic Computability logic Deontic logic Dependence logic Description logic Deviant logic Doxastic logic Epistemic logic First-order logic Formal...

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...

classical logic gates are for conventional digital circuits. Unlike many classical logic gates, quantum logic gates are reversible. It is possible to...

An important issue for philosophical logic is the question of how to classify the great variety of non-classical logical systems, many of which are of...

Noguera, Carles (2022-01-01). Logic and Implication: An Introduction to the General Algebraic Study of Non-classical Logics. Springer Nature. p. 451....