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In [[mathematical logic]], a '''first-order predicate''' is a [[predicate (logic)|predicate]] that takes only individual(s) constants or variables as argume [[Category:Predicate logic]] ...

...on the other hand, by the concepts of [[connotation]] and [[comprehension (logic)|comprehension]]. Peirce began to develop these ideas in his lectures "On the Logic of Science" at [[Harvard University]] (1865) and the [[Lowell Institute]] ( ...

...term for the whole collection of intensions of an object, but it is common in less technical usage to see 'intension' used for both the composite and the {{DEFAULTSORT:Comprehension (Logic)}} ...

....e. it performs proofs by [[refutation]]. Superposition is [[Completeness_(logic)#Refutation_completeness|refutation complete]]—given unlimited resources an ...e-of-the-art) [[Automated theorem prover|theorem prover]]s for first-order logic are based on superposition (e.g. the [[E equational theorem prover]]), alth ...

{{Short description|Concept in mathematics}} In [[mathematical logic]], '''interpretability''' is a relation between formal theories that expres ...

==Foundational concepts== ==Combinatory logic== ...

{{Short description|Aspect of mathematical logic}} In [[mathematical logic]], a '''second-order predicate''' is a [[predicate (logic)|predicate]] that takes a [[first-order predicate]] as an argument.<ref>{{c ...

...soning as closely as possible, though in much greater detail than is usual in published mathematics. ...ingen. The term ''natural deduction'' (rather, its German form) was coined in that paper: ...

...[[Adolf Lindenbaum]], states that any [[consistent theory]] of [[predicate logic]] can be extended to a [[complete theory|complete]] consistent theory. The ...[Gödel's completeness theorem]], among other places.{{cn|reason=Is it used in Gödel's own proof or just Henkin's?|date=February 2021}} ...

{{Short description|Symbol with a fixed meaning in logic, such as "and", "or", or "not"}} ...) is also treated as a logical constant in many [[formal system|systems of logic]]. ...

{{Short description|Symbol representing a property or relation in logic}} {{Other uses|Predicate (disambiguation)#Logic}} ...

{{Short description|Set of logic terms used to describe processes}} ...Technology ([[NIST]]), and has been approved as an international standard in the document [[International Organization for Standardization|ISO]] 18629. ...

...opositional formula]]s, used in [[propositional logic]] and [[higher-order logic]]s. ...!}} Brilliant Math & Science Wiki|url=https://brilliant.org/wiki/predicate-logic/|access-date=2020-08-20|website=brilliant.org|language=en-us}}</ref> ...

{{Short description|Logic statement about a formal system proven in a metalanguage}} {{About|[[logic]]al statements|theories about theories|Metatheory}} ...

{{Short description|Concept in epistemology}} ...ps://www.jstor.org/stable/427491|jstor = 427491|title = The Role of Theory in Aesthetics|last1 = Weitz|first1 = Morris|journal = The Journal of Aesthetic ...

...and are commonly based on either [[first-order logic]] or on [[description logic]]. * [[Common Logic]] - and its dialects ...

...[[computer programming]], a programmer keeps a program's intended results in mind and painstakingly constructs a program to achieve those results. '''In ...onary computation]] techniques that enable a computer to evolve a solution in response to a problem posed as a fitness or reward function. ...

...[Prolog]]. In recent years, deductive databases have found new application in [[data integration]], [[information extraction]], networking, [[program ana ...Datalog: concepts, history, and outlook |date=2018-09-01 |work=Declarative Logic Programming: Theory, Systems, and Applications |volume=20 |pages=3–100 |url ...

...efer to [[consent]]. '''Consent''' is the legal embodiment of the concept, in which approval is given to another party. ...omplementary to each other, and [[deontic logic]] is a tool sometimes used in reasoning about such relationships. ...

* Interpretation of legal concepts: * [[Literal (mathematical logic)]], certain logical roles taken by propositions ...