Boolean logic is a system of syllogistic logic invented by 19th-century British mathematician George Boole, which attempts to incorporate the "empty set"...
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Syllogism (redirect from Syllogistic)
the realm of logic's problems, Boole's addition of equation solving to logic—another revolutionary idea—involved Boole's doctrine that Aristotle's rules...
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anniversary of Boole's birth in 2015, highlighting his significant impact on the digital age. Boole's House and School in Lincoln Boole was born in 1815...
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Term logic (section Boole’s acceptance of Aristotle)
the realm of logic's problems, Boole's addition of equation solving to logic– another revolutionary idea –involved Boole's doctrine that Aristotle's rules...
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Boole, George De Morgan, Augustus Jevons, William Stanley Peirce, Charles Sanders Stone, Marshall Harvey Venn, John Zhegalkin, Ivan Ivanovich Boole's...
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contingents. The Prior Analytics (Latin: Analytica Priora) introduces his syllogistic method (see term logic), argues for its correctness, and discusses inductive...
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there are no A's ( s ( A ) = ∅ {\displaystyle s(A)=\emptyset } ). Boole's syllogistic Free logic Lambda cube Logical cube Logical hexagon Triangle of opposition...
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the realm of logic's problems, Boole's addition of equation solving to logic—another revolutionary idea—involved Boole's doctrine that Aristotle's rules...
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1980 critical reconstruction of Boole's original 1847 system revealed previously unnoticed gaps and errors in Boole's work and established the essentially...
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with greater abstraction and sophistication). Later generations built on Boole's insights ... but the logic that made it all possible was the interconnected...
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Naukowe. Łukasiewicz, J. (1957) [1951]. Słupecki, J. (ed.). Aristotle's Syllogistic from the Standpoint of Modern Formal Logic (in Polish) (2 ed.). Glasgow...
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propositional calculus. He developed an original "temporally modalized" syllogistic theory, involving temporal logic and modal logic. He also made use of...
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of arithmetic. Early logic systems includes Indian logic of Pāṇini, syllogistic logic of Aristotle, propositional logic of Stoicism, and Chinese logic...
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since it hints already at streams of inquiry that course well beyond the syllogistic source from which they spring, and into regions that Peirce will explore...
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Computing Division. Westphal, J (2010). The Application of Vector Theory to Syllogistic Logic. New Perspectives on the Square of Opposition, Bern, Peter Lang...
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doing, he devised techniques that separated him from the Aristotelian syllogistic but took him rather close to Stoic propositional logic. In effect, Frege...
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University Press. ISBN 9781009533829. Rose, Lynn E. (1968). Aristotle's Syllogistic. Charles C. Thomas. Ross, David (1995). Aristotle (6th ed.). Routledge...
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Joaquin, Jeremiah Joven; Boyles, Robert James M. (June 2017). "Teaching Syllogistic Logic via a Retooled Venn Diagrammatical Technique". Teaching Philosophy...
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Karnaugh maps (see below). Engineers also use the words logical product from Boole's notion (a*a = a) and logical sum from Jevons' notion (a+a = a). The IF...
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was focused on propositions. This was different from the traditional syllogistic logic, which focused on terms. However, most of the original writings...
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not always conform strictly to Aristotelian templates). Aristotle's syllogistic logic, together with its exemplification by Euclid's Elements, are recognized...
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(Greek: Ἀναλυτικὰ Πρότερα, Latin: Analytica Priora) introduces Aristotle's syllogistic method (see term logic), argues for its correctness, and discusses inductive...
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Mathematical logic and foundations, some noted articles "On an Improvement in Boole's Calculus of Logic" (1867) "Description of a Notation for the Logic of Relatives"...
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logical systems is rather recent. For a long time in history, Aristotelian syllogistics was treated as the canon of logic and there were very few substantial...
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Academy of Arts and Sciences, 49 pp. (?), containing "On an Improvement in Boole's Calculus of Logic", "On the Natural Classification of Arguments", and "On...
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