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List of mathematical logic topics
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This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic. See also the list of computability andThomas J. McKay (396 words) [view diff] case mismatch in snippet view article find links to article
Massachusetts, 1974, for a dissertation on "Essentialism and Quantified Modal Logic: Quine's Argument and Kripke's Semantics" His work has primarily concernedNino Cocchiarella (171 words) [view diff] case mismatch in snippet view article find links to article
Formal Ontology and Conceptual Realism, New York, Springer (2007); and Modal Logic. An Introduction to its Syntax and Semantics (with Max Freund), OxfordSquare of opposition (3,161 words) [view diff] no match in snippet view article find links to article
In term logic (a branch of philosophical logic), the square of opposition is a diagram representing the relations between the four basic categorical propositionsDavid Makinson (293 words) [view diff] exact match in snippet view article find links to article
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 BeirutGeoff Sutcliffe (328 words) [view diff] case mismatch in snippet view article find links to article
co-organizer of several Automated reasoning challenges, including the Modal Logic $100 Challenge, the MPTP $100 Challenges, and the SUMO $100 ChallengesNaming and Necessity (2,084 words) [view diff] exact match in snippet view article find links to article
Necessity, which, like Naming and Necessity, is also about semantics and modal logic. Language is a primary concern of analytic philosophers, particularlyThe Wheels of If (1,113 words) [view diff] exact match in snippet view article find links to article
story in a footnote of his 1968 paper "Counterpart theory and quantified modal logic" as a source for his conception of individuals across possible worldsJoel David Hamkins (1,791 words) [view diff] exact match in snippet view article find links to article
general method of forcing indestructibility. Hamkins introduced the modal logic of forcing and proved with Benedikt Löwe that if ZFC is consistent, thenEverything (666 words) [view diff] exact match in snippet view article find links to article
anything at all?". Alpha and Omega Infinity Modal collapse – Concept in modal logic Nothing Something (concept) Trivialism, the logical theory that everyPaul Gochet (1,757 words) [view diff] case mismatch in snippet view article find links to article
Logic and natural language" (with André Thayse) and "Semantics", From Modal Logic to Deductive Databases. Introducing a Logic Based Approach to ArtificialCointerpretability (191 words) [view diff] exact match in snippet view article find links to article
"A generalized notion of weak interpretability and the corresponding modal logic", Annals of Pure and Applied Logic, 61 (1–2): 113–160, doi:10.1016/0168-0072(93)90201-NSergei N. Artemov (943 words) [view diff] exact match in snippet view article find links to article
by Gödel in the 1930s: Artemov provided a provability semantics for modal logic that also served as a formalization of the Brouwer–Heyting–KolmogorovJan Łukasiewicz (2,673 words) [view diff] case mismatch in snippet view article find links to article
Theories (included in Łukasiewicz 1970, pp. 341–351) — (1953). "A System of Modal Logic". The Journal of Computing Systems. 1 (3): 111–149. Retrieved 24 MarchΩ-consistent theory (1,988 words) [view diff] exact match in snippet view article find links to article
Self-reference and modal logic. Berlin: Springer. ISBN 978-0-387-96209-2. Reviewed in Boolos, G.; Smorynski, C. (1988). "Self-Reference and Modal Logic". The JournalWeak interpretability (238 words) [view diff] exact match in snippet view article find links to article
"A generalized notion of weak interpretability and the corresponding modal logic", Annals of Pure and Applied Logic, 61 (1–2): 113–160, doi:10.1016/0168-0072(93)90201-NMeta-communication (1,466 words) [view diff] case mismatch in snippet view article find links to article
16-45 A.J. Jones (1983). Communication and Meaning: An Essay in Applied Modal Logic. Springer. pp. 132–137. ISBN 978-90-277-1543-2. Alan Wolfe (January 1996)Validity (logic) (1,110 words) [view diff] exact match in snippet view article
be called valid, i.e. logical truth, in some systems of logic like in Modal logic if the statement is true in all interpretations. In Aristotelian logicFrederic Fitch (445 words) [view diff] exact match in snippet view article find links to article
(1974), but he also made significant contributions to intuitionism and modal logic. He was interested in the problem of the consistency, completeness, categoricityArity (1,464 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-0-415-21375-2. Cocchiarella, Nino B.; Freund, Max A. (2008). Modal Logic: An Introduction to its Syntax and Semantics. Oxford University PressJudgment (mathematical logic) (455 words) [view diff] exact match in snippet view article
Frank; Davies, Rowan (August 2001). "A judgmental reconstruction of modal logic". Mathematical Structures in Computer Science. 11 (4): 511–540. CiteSeerX 10Finite model property (245 words) [view diff] case mismatch in snippet view article find links to article
fmp. Kripke semantics Patrick Blackburn, Maarten de Rijke, Yde Venema Modal Logic. Cambridge University Press, 2001. Alasdair Urquhart. Decidability andJean E. Rubin (590 words) [view diff] case mismatch in snippet view article find links to article
dissertation, jointly supervised by J.C.C. McKinsey and Patrick Suppes, was Bi-Modal Logic, Double Closure Algebras and Hilbert Space. She became a lecturer atAnalytic–synthetic distinction (4,578 words) [view diff] case mismatch in snippet view article find links to article
in the Supplement to Meaning and Necessity: A Study in Semantics and Modal Logic, enlarged edition (University of Chicago Press, 1956). Gillian RussellAndré Joyal (701 words) [view diff] case mismatch in snippet view article find links to article
Kripke-Joyal semantics for noncommutative logic in quantales; Advances in Modal Logic 6, 209—225, Coll. Publ., London, 2006; MR2396933 Joyal, André; TierneyFrancis Turretin (1,137 words) [view diff] exact match in snippet view article find links to article
It is not Scotus's notion of synchronic contingency but Aristotle's modal logic which is incorporated into Turretin's doctrine of freedom. Moreover,Francis Turretin (1,137 words) [view diff] exact match in snippet view article find links to article
It is not Scotus's notion of synchronic contingency but Aristotle's modal logic which is incorporated into Turretin's doctrine of freedom. Moreover,Deborah Mayo (438 words) [view diff] exact match in snippet view article find links to article
including introductory and advanced logic (meta-theory of logic and modal logic), the scientific method and philosophy of science. She also held academicExtensionalism (435 words) [view diff] case mismatch in snippet view article find links to article
1972 (Originalausgabe: Meaning and Necessity. A Study in Semantics and Modal Logic. Chicago/Toronto/London 1947). Quine, Willard Van Orman: "Three GradesThomas Studer (233 words) [view diff] case mismatch in snippet view article find links to article
Giovanna D'Agostino, George Metcalfe and Thomas Studer (eds.): Advances in Modal Logic - Volume 12 (2018 College Publication) "Thomas Studer". home.inf.unibeLennart Åqvist (524 words) [view diff] case mismatch in snippet view article find links to article
Reichenbachian Tense Logic. (1979). Journal of Philosophical Logic 8 (1). Modal Logic with Subjunctive Conditionals and Dispositional Predicates. (1973) JournalDecidability (logic) (1,887 words) [view diff] exact match in snippet view article
ISBN 9781475734522 Chagrov, Alexander; Zakharyaschev, Michael (1997), Modal logic, Oxford Logic Guides, vol. 35, Oxford University Press, ISBN 978-0-19-853779-3Barrie Collingwood Railway (1,047 words) [view diff] no match in snippet view article find links to article
Trainweb.org. Retrieved January 13, 2018. "BCRY Barrie (Ontario)". Cando Modal-Logic. Archived from the original on April 19, 2016. https://www.youtube.com/watchRobert Goldblatt (503 words) [view diff] case mismatch in snippet view article find links to article
anyone intending to teach nonstandard analysis." 2006: "Mathematical Modal Logic: a View of its Evolution" in Modalities in the Twentieth Century, VolumeList of publications in philosophy (5,271 words) [view diff] case mismatch in snippet view article find links to article
Development of Logic, 1962 Saul Kripke, "Semantical Considerations on Modal Logic", 1963 Donald Davidson, "Truth and Meaning", 1967 Willard Van Orman QuineKripke structure (model checking) (700 words) [view diff] case mismatch in snippet view article
Computation tree logic Kripke, Saul, 1963, "Semantical Considerations on Modal Logic," Acta Philosophica Fennica, 16: 83-94 Clarke, Edmund M. (2008): TheTimothy Smiley (660 words) [view diff] exact match in snippet view article find links to article
of philosophical areas, including Aristotle, definite descriptions, modal logic, multiple conclusion logic, negation and denial, plurals, set-theoreticDagfinn Føllesdal (602 words) [view diff] exact match in snippet view article find links to article
experts on the indeterminacy of translation. Referential Opacity and Modal logic. Oslo: Universitetsforlaget, 1966 "Quine on Modality." Synthese (DecemberMetaphysics (16,015 words) [view diff] case mismatch in snippet view article find links to article
2017, pp. 428–429 Menzel 2023, Lead Section, § 1. Possible Worlds and Modal Logic Berto & Jago 2023, Lead Section Pavel 1986, p. 50 Campbell 2006, § PossibleGraham Priest bibliography (3,901 words) [view diff] case mismatch in snippet view article find links to article
109–113. doi:10.1093/mind/LXXXVI.341.109. — (1977). "A Refoundation of Modal Logic". Notre Dame J. Formal Logic. 18 (3): 340–354. doi:10.1305/ndjfl/1093888007The Journal of Philosophy (949 words) [view diff] case mismatch in snippet view article find links to article
Logic" (1966) - Bas van Fraassen "Counterpart Theory and Quantified Modal Logic" (1968) - David Kellogg Lewis "Ontological Relativity" (1968) - W. VUnexpected hanging paradox (1,815 words) [view diff] case mismatch in snippet view article find links to article
epistemic paradoxes Binkley, Robert (1968). "The Surprise Examination in Modal Logic". The Journal of Philosophy. 65 (5): 127–136. doi:10.2307/2024556. JSTOR 2024556María Manzano (283 words) [view diff] case mismatch in snippet view article find links to article
periodical (link) Ohlbach, Hans Jürgen (July 1998), Thematic Issue on Modal Logic, Journal of Logic, Language and Information, 7 (3): 389–391, doi:10María Manzano (283 words) [view diff] case mismatch in snippet view article find links to article
periodical (link) Ohlbach, Hans Jürgen (July 1998), Thematic Issue on Modal Logic, Journal of Logic, Language and Information, 7 (3): 389–391, doi:10Nijaz Ibrulj (977 words) [view diff] case mismatch in snippet view article find links to article
Mentalism). Sophos, No.14/2021 Kripke, Saul A. A Completeness Theorem in Modal Logic, Sophos No.14/2021. Brandom, Robert B. Artificial Intelligence and AnalyticalMeta-ontology (2,232 words) [view diff] exact match in snippet view article find links to article
Semantics, and Ontology". Meaning and necessity: a study in semantics and modal logic (2 ed.). University of Chicago Press. pp. 205–221. — On-line versionNicholas Rescher (2,843 words) [view diff] case mismatch in snippet view article find links to article
of Syllogistic after Avicenna: A Note on Rescher's Studies in Arabid Modal Logic," Journal of Islamic Studies, vol. 11, pp. 209-28. "University of TehranProof by contradiction (2,529 words) [view diff] case mismatch in snippet view article find links to article
2002; see "Notation Index", p. 286. Gary Hardegree, Introduction to Modal Logic, Chapter 2, pg. II–2. https://web.archive.org/web/20110607061046/http://peopleCTL* (1,570 words) [view diff] case mismatch in snippet view article find links to article
Schnoebelen: The Complexity of Temporal Logic Model Checking. Advances in Modal Logic 2002: 393–436 CTL Teaching slides of professor Alessandro Artale at theJohn L. Pollock (1,511 words) [view diff] exact match in snippet view article find links to article
knowledge of the material world," The Philosophical Review, 1967. "Basic modal logic," Journal of Symbolic Logic, 1967. "What Is an Epistemological ProblemList of axiomatic systems in logic (3,906 words) [view diff] exact match in snippet view article find links to article
25–33. ISSN 0035-8975. JSTOR 20488489. A. Chagrov, M. Zakharyaschev, Modal logic, Oxford University Press, 1997. C. Meredith, A single axiom of positiveReligious philosophy (4,600 words) [view diff] exact match in snippet view article find links to article
Anselm, Descartes, and Leibniz. For example, Kurt Godel (1905–1978) used modal logic to elaborate and clarify Leibniz's version of Saint Anselm of Canterbury'sGrigori Mints (707 words) [view diff] case mismatch in snippet view article find links to article
Academic Publisher, 2001. Mints, G. (1992) "A Short Introduction to Modal Logic". Published by Center for the Study of Language and Information - LectureSolomon Passy (1,450 words) [view diff] case mismatch in snippet view article find links to article
mathematical logic and computer sciences. The Combinatory Dynamic Logic (Modal Logic with Nominals) was developed in Bulgaria by Solomon Passy and ProfessorsGareth Evans (philosopher) (2,406 words) [view diff] exact match in snippet view article
and designation that came in the wake of the semantics for quantified modal logic proposed by Saul Kripke, Ruth Marcus, and others. A final important influenceProblem of universals (4,943 words) [view diff] case mismatch in snippet view article find links to article
(link) Cocchiarella, Nino (1975). "Logical Atomism, Nominalism, and Modal Logic", Synthese. Feldman, Fred (2005). "The Open Question Argument: What ItPhilosophy of language (8,614 words) [view diff] case mismatch in snippet view article find links to article
Carnap, R., (1956). Meaning and Necessity: a Study in Semantics and Modal Logic. University of Chicago Press. Collins, John. (2001). Truth ConditionsComputation tree logic (2,913 words) [view diff] exact match in snippet view article find links to article
1145/5397.5399. S2CID 52853200. Emerson, E. A. (1990). "Temporal and modal logic". In Jan van Leeuwen (ed.). Handbook of Theoretical Computer ScienceWord and Object (3,699 words) [view diff] exact match in snippet view article find links to article
value of a bound variable"). He argues, moreover, against quantified modal logic and the essentialism it presupposes, argues for Platonic realism in mathematicsReflection principle (3,584 words) [view diff] exact match in snippet view article find links to article
doi:10.1016/s0168-0072(99)00052-4. Joel David Hamkins (2018). "The modal logic of arithmetic potentialism and the universal algorithm". arXiv:1801.04599Ability (5,065 words) [view diff] exact match in snippet view article find links to article
is due to Anthony Kenny, who holds that various inferences drawn in modal logic are invalid for ability ascriptions. These failures indicate that theLinear time property (1,992 words) [view diff] exact match in snippet view article find links to article
ISSN 1084-4309. S2CID 13994730. Emerson, E. Allen (1990). "Temporal and modal logic". Handbook of Theoretical Computer Science. B. Pnueli, Amir (1986). "ApplicationsLorenzo Peña (4,716 words) [view diff] exact match in snippet view article find links to article
out the flaw was to think of deontic logic as a species of the genus modal logic by stressing the similarities between duty and necessity, and betweenGlossary of artificial intelligence (29,481 words) [view diff] case mismatch in snippet view article find links to article
Philadelphia, 1995. Hughes, G. E., & Cresswell, M. J., A New Introduction to Modal Logic (London: Routledge, 1996), p.161. Feigenbaum, Edward (1988). The RiseUnified Foundational Ontology (2,358 words) [view diff] exact match in snippet view article find links to article
extends to offer a formal semantics grounded in a sortal quantified modal logic. Theory of Part-Whole Relations: This theory explores the relationships