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- ...he three fundamental types of reasoning that Peirce adopted from classical logic. In Peirce's analysis both inquiry and analogy are complex programs of rea ...three types of reasoning, from his Harvard Lectures of 1865 “On the Logic of Science”. It illustrates how one and the same proposition might b ...106 KB (14,000 words) - 07:59, 18 December 2022
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- ...hose combinations. It will tell you on a case-by-case basis, what will the functional output be in every input instance. We need a way to represent the 3 basic logic operations in algebraic formulas. (AND, OR, NOT)<br> ...4 KB (594 words) - 09:09, 8 July 2023
- ..._w</math>, is defined on the set of evolving organisms modeled in terms of functional, ...s'' , <math>G_{iso}^N</math>, such as those described by <math>LM_n</math>-logic networks in \L{}ukasiewicz-Moisil, <math>\mathcal{L}M</math> topoi (<ref na ...2 KB (250 words) - 15:45, 20 August 2020
- ...math> -- that form a living organism's genome --are mathematical models of functional genes linked through their non-linear, [[../NewtonianMechanics/|dynamic]] i ===Boolean vs. N-state models of genetic networks in LMn- logic algebras=== ...5 KB (722 words) - 15:26, 12 September 2020
- ===Categorical dynamics and mathematical representations in functional biology=== ...ies/|dynamics]] are important for understanding physiological dynamics and functional biology in terms of [[../ModuleAlgebraic/|algebraic topology]] [[../Precise ...9 KB (1,147 words) - 16:09, 12 September 2020
- ...000, Topological Completeness for Higher Order Logic., Journal of Symbolic Logic, 65, 3, 1168--1182. ...y Metalogic to Twenty-first-Century Semantics, ''History and Philosophy of Logic'' , 23, (2): 77--94. ...7 KB (997 words) - 04:48, 12 September 2020
- ==Metatheory, Meta-Logic and Meta-Mathematics== A ''metalogic'' is then a meta-theory of various [[../Bijective/|types]] of logic. ...8 KB (1,064 words) - 15:26, 12 September 2020
- ...medium|☞}} This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. ...tt{(} x_1 \texttt{,} \ldots \texttt{,} x_k \texttt{)}~\!</math> a discrete functional analogue of a point-omitted neighborhood in ordinary real analysis, more ex ...22 KB (3,303 words) - 08:46, 24 March 2023
- ...Theorems/|meta-theories]], metalogic and metamathematics founded in formal logic. The topic is of potential importance for axiomatic approaches to many area ===Introduction: Formal Logic, Meta-Logic and Meta-Mathematics=== ...14 KB (1,973 words) - 00:23, 10 September 2020
- ...tness'' {http://planetphysics.us/encyclopedia/DualityAndTriality.html} and Functional Homology}; ...general. Such is also the relevance of [[../LQG2/|quantum logics]] and LM-logic algebra to ...10 KB (1,353 words) - 03:45, 13 September 2020
- ...ing diagrams of the linkage groups of operons, and whose morphisms are the functional connections among the activities of the operons. Suppose that a mutation ta ...ling and biomolecular network representations in categories of Lukasiewicz Logic Algebras and Lukasiewicz-Topos. [[../BesselFunctionsApplicationsToDiffracti ...15 KB (2,131 words) - 15:49, 12 September 2020
- ...medium|☞}} This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. ...study from the perspectives of abstract algebra on the one hand and formal logic on the other. ...24 KB (3,641 words) - 07:51, 23 March 2023
- ...ctives of [[../PAdicMeasure/|abstract algebra]] on the one hand and formal logic on the other. Following the pattern of the functional case, let the notation <math>``L \subseteq X \times Y"</math> bring to mind ...13 KB (2,176 words) - 03:43, 13 September 2020
- ...disciplines ranging from [[w:en:linguistics|linguistics]] to [[w:en:logic|logic]]. The most common application of recursion is in [[w:en:mathematics|mathem ...st=Drucker|first=Thomas |title=Perspectives on the History of Mathematical Logic |url=https://books.google.com/books?id=R70M4zsVgREC&pg=PA110 |date=4 Januar ...29 KB (4,366 words) - 13:09, 24 June 2023
- ...rtant question of the minimal living organism have attempted to define the functional [[../Bijective/|relations]] that would have made life possible in a such a ...rmallink{algebraic category <math>\mathcal{LM}</math> of <math>LM_n</math> logic algebras}{http://planetphysics.us/encyclopedia/AlgebraicCategoryOfLMnLogicA ...12 KB (1,809 words) - 16:00, 12 September 2020
- ...he three fundamental types of reasoning that Peirce adopted from classical logic. In Peirce's analysis both inquiry and analogy are complex programs of rea ...three types of reasoning, from his Harvard Lectures of 1865 “On the Logic of Science”. It illustrates how one and the same proposition might b ...106 KB (14,000 words) - 07:59, 18 December 2022
- ...medium|☞}} This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. ...er of relations. Relations and their combinations may be described in the logic of relative terms, in set theories of various kinds, and through a broadeni ...64 KB (6,778 words) - 07:51, 23 March 2023
- Let us recall that in classical logic, an axiom or postulate is a `simple', fundamental [[../Predicate/|propositi ...>\Psi</math> of a <math>C^*</math>-algebra is defined as a positive linear functional over the algebra equipped with unit [[../NormInducedByInnerProduct/|norm]]. ...14 KB (1,891 words) - 04:54, 12 September 2020
- ...rams]]. What is needed next is a corresponding interplay with analysis and functional analysis that would extend also to [[../Groupoid/|quantum operator algebras ...gebraic Computations, in P. Suppes (ed.), ''Proceed. Fourth Intl. Congress Logic-Mathematics-Philosophy of Science'' , September 1--4, 1971, Bucharest. ...10 KB (1,413 words) - 03:34, 13 September 2020
- *1949 Alex Grothendieck worked on functional analysis with Jean Dieudonn\'e at the University of Nancy in France; he was ...on the theory of topoi/toposes that are relevant not only to mathematical logic and category theory, but also to [[../RecursiveFunction/|computer software/ ...13 KB (1,929 words) - 03:49, 31 December 2023
- ...foundation in the form of a relational structure that they called "quantum logic." ...ional structure of their discovery<ref>G. Birkhoff and J. von Neumann, The Logic of Quantum Mechanics, Annals of Mathematics, Vol. 37, pp. 823–843</ref>. ...30 KB (4,615 words) - 13:08, 13 April 2020