Search Results: 'axiomatics'

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14 results for "axiomatics"
Axiomatic (Volumes 1-4) By Michael Migawa
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Boolean Algebra at School, Vol 1 By Michael de Villiers
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The main focus of this book is on actively engaging students in the mathematical processes of modeling and axiomatization. The book starts off with some challenging problems involving switching... More > circuits. Students are then engaged in gradually developing a mathematical model in order to solve these problems. Suitable notation is firstly introduced for series and parallel switches, and then followed by truth tables, and the discovery of several interesting mathematical properties related to switching circuits. After development of the model and solution of the original problems, a section on systematization follows where students are led through some proof activities to identify a suitable set of axioms. The book concludes with a short historical overview of the development and application of Boolean Algebra.< Less
Boolean Algebra at School, Vol 1 By Michael de Villiers
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The main focus of this book is on actively engaging students in the mathematical processes of modeling and axiomatization. The book starts off with some challenging problems involving switching... More > circuits. Students are then engaged in gradually developing a mathematical model in order to solve these problems. Suitable notation is firstly introduced for series and parallel switches, and then followed by truth tables, and the discovery of several interesting mathematical properties related to switching circuits. After development of the model and solution of the original problems, a section on systematization follows where students are led through some proof activities to identify a suitable set of axioms. The book concludes with a short historical overview of the development and application of Boolean Algebra.< Less
brnt ghst vlnt By John Paetsch
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GPDFE002 : John Paetsch : brnt ghst vlnt 2 glaze Borders why not at the vanishing point excise otro teeth? vexéd mica spheres 2 a Rathon fyutchur where hags glass scalp 4 substrate
Boolean Algebra at School, Vol 2 By Michael de Villiers
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This volume is the Teacher's Guide to the student text, Boolean Algebra at School, Volume 1. It provides a more detailed discussion and formal exposition of Boolean Algebra as well as a few more... More > examples of Boolean Algebras. The Teacher's Guide also provides a rationale for the approach used in Volume 1, discussing why applications and modeling are important, aspects of pure mathematics like duality, the reconstructive teaching approach, and the promotion and development of creative problem solving. Lastly, the book provides two sample test papers with worked solutions, and further references to related resources on Boolean Algebra, Logic and Switching Circuits.< Less
Boolean Algebra at School, Vol 2 By Michael de Villiers
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This volume is the Teacher's Guide to the student text, Boolean Algebra at School, Volume 1. It provides a more detailed discussion and formal exposition of Boolean Algebra as well as a few more... More > examples of Boolean Algebras. The Teacher's Guide also provides a rationale for the approach used in Volume 1, discussing why applications and modeling are important, aspects of pure mathematics like duality, the reconstructive teaching approach, and the promotion and development of creative problem solving. Lastly, the book provides two sample test papers with worked solutions, and further references to related resources on Boolean Algebra, Logic and Switching Circuits.< Less
The Gödel's legacy: revisiting the Logic By giuseppe raguní
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ABSTRACT: Some common fallacies about fundamental themes of Logic are exposed: the First and Second incompleteness Theorem interpretations, Chaitin’s various superficialities and the usual... More > classification of the axiomatic Theories in function of its language order. KEYWORDS: Incompleteness, undecidability, semantic completeness, categoricity, randomness, Chaitin's constant, first and second order languages, consistency.< Less
Can architectural art-form be designed out of construction? By Markus Breitschmid
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Carl Boetticher, Gottfried Semper, and Heinrich Woelfflin: a sketch of various investigations on the nature of "Tectonic" in nineteenth-century architectural theory. The essay sketches the... More > shifting understanding of the tectonic in the architectural theories of Carl Boetticher, Gottfried Semper, and Heinrich Woelfflin. The essay argues that the axiomatic definition of the tectonic as "Poetics of Construction", as it has been advocated in recent decades, is focusing too one-sidedly on architecture's tangible materiality and undermines the capability of architecture to contain representational values and to hold civilizing meaning.< Less
Sorce Theory: Unlocking the Basement By Joel Morrison
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Beyond the limits of classical physics, Sorce Theory demonstrates a new “post-quantum” causal underpinning. It does this without limiting the quantitative aspects of modern physics.... More > Rather, it offers an understanding of the data, and a new perspective to guide us beyond the current quagmire into a truly unified paradigm. Like virtually all of modern science, however, this paradigm is built on a medieval “foundational” ontology. Through an infinite self-similar recursion typical of fractals, this axiomatic foundationalism is reopened to the nondual findings of post-modern and post-foundational ontologies, and thus to causal illumination at all levels of the cosmos. This then opens Sorce Theory to integration with the emerging fractal and plasma cosmologies. In this process a holarchical and self-similar theory of fluid dynamics is put forth, making sense of the interactions between molar fluids and “quantum” superfluids, and an accessible introduction to the model is provided as well.< Less
Sorce Theory: Unlocking the Basement By Joel Morrison
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Beyond the limits of classical physics, Sorce Theory demonstrates a new “post-quantum” causal underpinning. It does this without limiting the quantitative aspects of modern physics.... More > Rather, it offers an understanding of the data, and a new perspective to guide us beyond the current quagmire into a truly unified paradigm. Like virtually all of modern science, however, this paradigm is built on a medieval “foundational” ontology. Through an infinite self-similar recursion typical of fractals, this axiomatic foundationalism is reopened to the nondual findings of post-modern and post-foundational ontologies, and thus to causal illumination at all levels of the cosmos. This then opens Sorce Theory to integration with the emerging fractal and plasma cosmologies. In this process a holarchical and self-similar theory of fluid dynamics is put forth, making sense of the interactions between molar fluids and “quantum” superfluids, and an accessible introduction to the model is provided as well.< Less