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Recommended For You

Build a Mathematical Mind - Even If You Think You Can't Have One

by Albert Rutherford ...

Would you like to be a proficient mathematician… without using numbers?There is so much more to math than geometry and calculus! It is present in almost every life aspect, from improving your communication skills to how to fit your luggage into your car.Did you always hate math because you couldn't understand complex formulas?Don't let a few equations or a bad teacher deter you from building a ... Read more

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Would you like to be a proficient mathematician… without using numbers?There is so much more to math than geometry and calculus! It is present in almost every life aspect, from improving your communication skills to how to fit your luggage into your car.Did you always hate math because you couldn't understand complex formulas?Don't let a few equations or a bad teacher deter you from building a
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Descartes' Error

Emotion, Reason, and the Human Brain

by Antonio Damasio ...

**"An ambitious and meticulous foray into the nature of being." -- The Boston GlobeA landmark exploration of the relationship between emotion and reason**Since Descartes famously proclaimed, "I think, therefore I am," science has often overlooked emotions as the source of a person’s true being. Even modern neuroscience has tended, until recently, to concentrate on the cognitive aspects of brain ... Read more

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**"An ambitious and meticulous foray into the nature of being." -- The Boston GlobeA landmark exploration of the relationship between emotion and reason**Since Descartes famously proclaimed, "I think, therefore I am," science has often overlooked emotions as the source of a person’s true being. Even modern neuroscience has tended, until recently, to concentrate on the cognitive aspects of brain
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Advances in Proof-Theoretic Semantics

Edited by Thomas Piecha, Peter Schroeder-Heister ...

Series series Mathematics and Statistics (R0)
This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, ... Read more

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This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory,
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How to Bake Pi

An Edible Exploration of the Mathematics of Mathematics

by Eugenia Cheng ...

**One of the world's most creative mathematicians finds the meaning of mathematics in the kitchen  ****“Whimsical…rigorous and insightful.” —**New York TimesWhat is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, ... Read more

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**One of the world's most creative mathematicians finds the meaning of mathematics in the kitchen  ****“Whimsical…rigorous and insightful.” —**New York TimesWhat is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered,
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Alan M. Turing

Centenary Edition

by Sara Turing, John Turing ...

'In a short life he accomplished much, and to the roll of great names in the history of his particular studies added his own.' So is described one of the greatest figures of the twentieth century, yet Alan Turing's name was not widely recognised until his contribution to the breaking of the German Enigma code became public in the 1970s. The story of Turing's life fascinates and in the years since ... Read more

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'In a short life he accomplished much, and to the roll of great names in the history of his particular studies added his own.' So is described one of the greatest figures of the twentieth century, yet Alan Turing's name was not widely recognised until his contribution to the breaking of the German Enigma code became public in the 1970s. The story of Turing's life fascinates and in the years since
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Logic, Language, and Probability

A Selection of Papers Contributed to Sections IV, VI, and XI of the Fourth International Congress for Logic, Methodology, and Philosophy of Science, Bucharest, September 1971

Edited by R. Bogdan, I. Niiniluoto ...

Series series Mathematics and Statistics (R0)
The Fourth International Congress for Logic, Methodology, and Philos ophy of Science was held in Bucharest, Romania, on August 29-September 4, 1971. The Congress was organized, under the auspices of the Inter national Union for History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, by the Academy of the Socialist Republic of Romania, the Academy of Social and ... Read more

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The Fourth International Congress for Logic, Methodology, and Philos ophy of Science was held in Bucharest, Romania, on August 29-September 4, 1971. The Congress was organized, under the auspices of the Inter national Union for History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, by the Academy of the Socialist Republic of Romania, the Academy of Social and
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Philosophy's Loss of Logic to Mathematics

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by Woosuk Park ...

Series series Philosophy and Religion (R0)
This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his ... Read more

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This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his
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Semantic Intelligence

Select Proceedings of ISIC 2022

Edited by Sarika Jain, Sven Groppe, Bharat K. Bhargava ...

Series series Springer Nature Proceedings Computer Science
This book constitutes refereed proceedings of the 2nd International Semantic Intelligence Conference (ISIC 2022). This book covers a wide range of topics, including semantic web engineering, ontology-based data access, multimodal and multilingual access, machine-to-machine communications and interoperability, knowledge extraction and ontology learning from the web, computational paradigms and ... Read more

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This book constitutes refereed proceedings of the 2nd International Semantic Intelligence Conference (ISIC 2022). This book covers a wide range of topics, including semantic web engineering, ontology-based data access, multimodal and multilingual access, machine-to-machine communications and interoperability, knowledge extraction and ontology learning from the web, computational paradigms and
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An Introduction to Mathematical Proofs

by Nicholas A. Loehr ...

Series series Textbooks in Mathematics
***An Introduction to Mathematical Proofs***presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra.New material is presented in small chunks that ... Read more

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***An Introduction to Mathematical Proofs***presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra.New material is presented in small chunks that
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Mathematical Analysis and Proof

by David S G Stirling ...

This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads ... Read more

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This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads
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Philosophical Logic

A Contemporary Introduction

by John MacFarlane ...

Series series Routledge Contemporary Introductions to Philosophy
Introductory logic is generally taught as a straightforward technical discipline. In this book, John MacFarlane helps the reader think about the limitations of, presuppositions of, and alternatives to classical first-order predicate logic, making this an ideal introduction to philosophical logic for any student who already has completed an introductory logic course.The book explores the following ... Read more

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Introductory logic is generally taught as a straightforward technical discipline. In this book, John MacFarlane helps the reader think about the limitations of, presuppositions of, and alternatives to classical first-order predicate logic, making this an ideal introduction to philosophical logic for any student who already has completed an introductory logic course.The book explores the following
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Why Is There Philosophy of Mathematics At All?

by Ian Hacking ...

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both ... Read more

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This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both
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Probing The Meaning Of Quantum Mechanics: Superpositions, Dynamics, Semantics And Identity

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This book provides an interdisciplinary approach to one of the most fascinating and important open questions in science: What is quantum mechanics really talking about? In the last decades quantum mechanics has given rise to a new quantum technological era, a revolution taking place today especially within the field of quantum information processing; which goes from quantum teleportation and ... Read more

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This book provides an interdisciplinary approach to one of the most fascinating and important open questions in science: What is quantum mechanics really talking about? In the last decades quantum mechanics has given rise to a new quantum technological era, a revolution taking place today especially within the field of quantum information processing; which goes from quantum teleportation and
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A Cp-Theory Problem Book

Special Features of Function Spaces

by Vladimir V. Tkachuk ...

Series series Mathematics and Statistics (R0)
This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in ... Read more

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This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in
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Traité de la résolution des équations numériques de tous les degrés

by Joseph-Louis Lagrange ...

La solution de tout problème déterminé se réduit, en dernière analyse, à la résolution d’une ou de plusieurs équations, dont les coefficients sont donnés en nombres, et qu’on peut appeler équations numériques. Il est donc important d’avoir des méthodes pour résoudre complètement ces équations, de quelque degré qu’elles soient. Celle que l’on trouve dans le Recueil des Mémoires de l’Académie de ... Read more

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La solution de tout problème déterminé se réduit, en dernière analyse, à la résolution d’une ou de plusieurs équations, dont les coefficients sont donnés en nombres, et qu’on peut appeler équations numériques. Il est donc important d’avoir des méthodes pour résoudre complètement ces équations, de quelque degré qu’elles soient. Celle que l’on trouve dans le Recueil des Mémoires de l’Académie de
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Laws and Explanations; Theories and Modal Possibilities

by Arnold Koslow ...

Series series Philosophy and Religion (R0)
The book has two parts: In the first, after a review of some seminal classical accounts of laws and explanations, a new account is proposed for distinguishing between laws and accidental generalizations (LAG). Among the new consequences of this proposal it is proved that any explanation of a contingent generalization shows that the generalization is not accidental. The second part involves ... Read more

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The book has two parts: In the first, after a review of some seminal classical accounts of laws and explanations, a new account is proposed for distinguishing between laws and accidental generalizations (LAG). Among the new consequences of this proposal it is proved that any explanation of a contingent generalization shows that the generalization is not accidental. The second part involves
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Axiomatic Method and Category Theory

by Andrei Rodin ...

Series Book 364 - Synthese Library
This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia.The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then ... Read more

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This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia.The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then
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Logic Essentials

by W. Kent Wilson ...

Series series Essentials Study Guides
REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and ... Read more

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REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and
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Partial Truths

How Fractions Distort Our Thinking

by James C. Zimring ...

A fast-food chain once tried to compete with McDonald’s quarter-pounder by introducing a third-pound hamburger—only for it to flop when consumers thought a third pound was less than a quarter pound because three is less than four. Separately, a rash of suicides by teenagers who played Dungeons and Dragons caused a panic in parents and the media. They thought D&D was causing teenage suicides—when ... Read more

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A fast-food chain once tried to compete with McDonald’s quarter-pounder by introducing a third-pound hamburger—only for it to flop when consumers thought a third pound was less than a quarter pound because three is less than four. Separately, a rash of suicides by teenagers who played Dungeons and Dragons caused a panic in parents and the media. They thought D&D was causing teenage suicides—when
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RtI in Math

Evidence-Based Interventions

by Linda Forbringer, Wendy Weber ...

Learn how to help K–8 students who struggle in math. Now in its second edition, this book provides a variety of clear, practical strategies that can be implemented right away to boost student achievement. Discover how to design lessons that work with struggling learners, implement math intervention recommendations from the Institute of Education Sciences Practice Guides, the National Center on ... Read more

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Learn how to help K–8 students who struggle in math. Now in its second edition, this book provides a variety of clear, practical strategies that can be implemented right away to boost student achievement. Discover how to design lessons that work with struggling learners, implement math intervention recommendations from the Institute of Education Sciences Practice Guides, the National Center on
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O Reino De Python

by Eleaquim Jc ...

O Reino de Python é uma contribuição no aprendizado inicial da programação. Python é uma linguagem de programação que auxilia o desenvolvimento de inúmeras tarefas nesse nicho. Minha contribuição está em abordar o tema de uma forma lúdica e simples para que o leitor possa se sentir acolhido em um terreno de fantasia e magia. ... Read more

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O Reino de Python é uma contribuição no aprendizado inicial da programação. Python é uma linguagem de programação que auxilia o desenvolvimento de inúmeras tarefas nesse nicho. Minha contribuição está em abordar o tema de uma forma lúdica e simples para que o leitor possa se sentir acolhido em um terreno de fantasia e magia.
... Read more
The Resurrection of Man: The Story of Adam and Eve Told Mathematically

by The Heart of Man ...

An angel of God came to me in a dream. Her light was bright, and I did tremble. She said, "Do not fear. I have something for you." "What is it?" I asked. "It is the logic of God and the creation of the Universe. God commands you to give it to Man. You are to tell Man his story again, for he has forgotten it. And because he has forgotten his story, he is angry and unhappy. God is merciful, and He ... Read more

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An angel of God came to me in a dream. Her light was bright, and I did tremble. She said, "Do not fear. I have something for you." "What is it?" I asked. "It is the logic of God and the creation of the Universe. God commands you to give it to Man. You are to tell Man his story again, for he has forgotten it. And because he has forgotten his story, he is angry and unhappy. God is merciful, and He
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Quantum, Probability, Logic

The Work and Influence of Itamar Pitowsky

Edited by Meir Hemmo, Orly Shenker ...

Series series Philosophy and Religion (R0)
This volume provides a broad perspective on the state of the art in the philosophy and conceptual foundations of quantum mechanics. Its essays take their starting point in the work and influence of Itamar Pitowsky, who has greatly influenced our understanding of what is characteristically non-classical about quantum probabilities and quantum logic, and this serves as a vantage point from which ... Read more

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This volume provides a broad perspective on the state of the art in the philosophy and conceptual foundations of quantum mechanics. Its essays take their starting point in the work and influence of Itamar Pitowsky, who has greatly influenced our understanding of what is characteristically non-classical about quantum probabilities and quantum logic, and this serves as a vantage point from which
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Logic eBooks

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Advances in Proof-Theoretic Semantics

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Philosophy's Loss of Logic to Mathematics

Semantic Intelligence

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¡Un matemático ahí, por favor!

Probing The Meaning Of Quantum Mechanics: Superpositions, Dynamics, Semantics And Identity

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Laws and Explanations; Theories and Modal Possibilities

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Quantum, Probability, Logic