Calculus of Thought Book

Calculus of Thought


  • Author : Daniel M Rice
  • Publisher : Academic Press
  • Release Date : 2013-10-15
  • Genre: Mathematics
  • Pages : 272
  • ISBN 10 : 9780124104525

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Calculus of Thought Excerpt :

Calculus of Thought: Neuromorphic Logistic Regression in Cognitive Machines is a must-read for all scientists about a very simple computation method designed to simulate big-data neural processing. This book is inspired by the Calculus Ratiocinator idea of Gottfried Leibniz, which is that machine computation should be developed to simulate human cognitive processes, thus avoiding problematic subjective bias in analytic solutions to practical and scientific problems. The reduced error logistic regression (RELR) method is proposed as such a "Calculus of Thought." This book reviews how RELR's completely automated processing may parallel important aspects of explicit and implicit learning in neural processes. It emphasizes the fact that RELR is really just a simple adjustment to already widely used logistic regression, along with RELR's new applications that go well beyond standard logistic regression in prediction and explanation. Readers will learn how RELR solves some of the most basic problems in today’s big and small data related to high dimensionality, multi-colinearity, and cognitive bias in capricious outcomes commonly involving human behavior. Provides a high-level introduction and detailed reviews of the neural, statistical and machine learning knowledge base as a foundation for a new era of smarter machines Argues that smarter machine learning to handle both explanation and prediction without cognitive bias must have a foundation in cognitive neuroscience and must embody similar explicit and implicit learning principles that occur in the brain

A Calculus of Ideas Book

A Calculus of Ideas


  • Author : Ulf Grenander
  • Publisher : World Scientific
  • Release Date : 2012
  • Genre: Mathematics
  • Pages : 236
  • ISBN 10 : 9789814383196

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A Calculus of Ideas Excerpt :

This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method illustrated and produced by extensive computer simulations is related to neural networks. Based mainly on introspection, it is speculative rather than empirical such that it differs radically in attitude from the conventional wisdom of current cognitive science.

Mathematical Thought From Ancient to Modern Times Book

Mathematical Thought From Ancient to Modern Times


  • Author : Morris Kline
  • Publisher : Oxford University Press
  • Release Date : 1990-03-01
  • Genre: Mathematics
  • Pages : 480
  • ISBN 10 : 0199840423

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Mathematical Thought From Ancient to Modern Times Excerpt :

This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

Mathematics and Logic in History and in Contemporary Thought Book

Mathematics and Logic in History and in Contemporary Thought


  • Author : Ettore Carruccio
  • Publisher : Routledge
  • Release Date : 2017-09-29
  • Genre: Mathematics
  • Pages : 400
  • ISBN 10 : 9781351506618

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Mathematics and Logic in History and in Contemporary Thought Excerpt :

This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought.

The Calculus of Friendship Book
Score: 1
From 1 Ratings

The Calculus of Friendship


  • Author : Steven Strogatz
  • Publisher : Princeton University Press
  • Release Date : 2011-03-07
  • Genre: Mathematics
  • Pages : 184
  • ISBN 10 : 1400830885

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The Calculus of Friendship Excerpt :

The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculus--until a day comes when calculus is no longer enough. Like calculus itself, The Calculus of Friendship is an exploration of change. It's about the transformation that takes place in a student's heart, as he and his teacher reverse roles, as they age, as they are buffeted by life itself. Written by a renowned teacher and communicator of mathematics, The Calculus of Friendship is warm, intimate, and deeply moving. The most inspiring ideas of calculus, differential equations, and chaos theory are explained through metaphors, images, and anecdotes in a way that all readers will find beautiful, and even poignant. Math enthusiasts, from high school students to professionals, will delight in the offbeat problems and lucid explanations in the letters. For anyone whose life has been changed by a mentor, The Calculus of Friendship will be an unforgettable journey.

The World Computer Book

The World Computer


  • Author : Jonathan Beller
  • Publisher : Duke University Press
  • Release Date : 2021-01-22
  • Genre: Philosophy
  • Pages : 350
  • ISBN 10 : 9781478012702

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The World Computer Excerpt :

In The World Computer Jonathan Beller forcefully demonstrates that the history of commodification generates information itself. Out of the omnipresent calculus imposed by commodification, information emerges historically as a new money form. Investigating its subsequent financialization of daily life and colonization of semiotics, Beller situates the development of myriad systems for quantifying the value of people, objects, and affects as endemic to racial capitalism and computation. Built on oppression and genocide, capital and its technical result as computation manifest as racial formations, as do the machines and software of social mediation that feed racial capitalism and run on social difference. Algorithms, derived from for-profit management strategies, conscript all forms of expression—language, image, music, communication—into the calculus of capital such that even protest may turn a profit. Computational media function for the purpose of extraction rather than ameliorating global crises, and financialize every expressive act, converting each utterance into a wager. Repairing this ecology of exploitation, Beller contends, requires decolonizing information and money, and the scripting of futures wagered by the cultural legacies and claims of those in struggle.

Change Is the Only Constant Book

Change Is the Only Constant


  • Author : Ben Orlin
  • Publisher : Black Dog & Leventhal
  • Release Date : 2019-10-08
  • Genre: Mathematics
  • Pages : 320
  • ISBN 10 : 9780316509060

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Change Is the Only Constant Excerpt :

The next book from Ben Orlin, the popular math blogger and author of the underground bestseller Math With Bad Drawings. Change Is The Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings. Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. By spinning 28 engaging mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.

A Tour of the Calculus Book
Score: 3.5
From 8 Ratings

A Tour of the Calculus


  • Author : David Berlinski
  • Publisher : Vintage
  • Release Date : 2011-04-27
  • Genre: Mathematics
  • Pages : 352
  • ISBN 10 : 9780307789730

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A Tour of the Calculus Excerpt :

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

Mind Book

Mind


  • Author : George Croom Robertson
  • Publisher : Unknown
  • Release Date : 1892
  • Genre: Electronic journals
  • Pages : 650
  • ISBN 10 : UCBK:B003012033

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Mind Excerpt :

A quarterly review of philosophy.

Calculus Of Ideas  A  A Mathematical Study Of Human Thought Book

Calculus Of Ideas A A Mathematical Study Of Human Thought


  • Author : Ulf Grenander
  • Publisher : World Scientific
  • Release Date : 2012-08-10
  • Genre: Mathematics
  • Pages : 236
  • ISBN 10 : 9789814439114

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Calculus Of Ideas A A Mathematical Study Of Human Thought Excerpt :

This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method illustrated and produced by extensive computer simulations is related to neural networks. Based mainly on introspection, it is speculative rather than empirical such that it differs radically in attitude from the conventional wisdom of current cognitive science.

Concept and Object Book

Concept and Object


  • Author : Anthony Palmer
  • Publisher : Routledge
  • Release Date : 2019-11-04
  • Genre: Philosophy
  • Pages : 158
  • ISBN 10 : 9781000737097

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Concept and Object Excerpt :

Originally published in 1988. This text gives a lucid account of the most distinctive and influential responses by twentieth century philosophers to the problem of the unity of the proposition. The problem first became central to twentieth-century philosophy as a result of the depsychoiogising of logic brought about by Bradley and Frege who, responding to the ’Psychologism’ of Mill and Hume, drew a sharp distinction between the province of psychology and the province of logic. This author argues that while Russell, Ryle and Davidson, each in different ways, attempted a theoretical solution, Frege and Wittgenstein (both in the Tractatus and the Investigations) rightly maintained that no theoretical solution is possible. It is this which explains the importance Wittgenstein attached in his later work to the idea of agreement in judgments. The two final chapters illustrate the way in which a response to the problem affects the way in which we think about the nature of the mind. They contain a discussion of Strawson’s concept of a person and provide a striking critique of the philosophical claims made by devotees of artificial intelligence, in particular those made by Daniel Dennett.

Calculus and Pizza Book
Score: 3
From 1 Ratings

Calculus and Pizza


  • Author : Clifford A. Pickover
  • Publisher : John Wiley & Sons
  • Release Date : 2003-06-16
  • Genre: Mathematics
  • Pages : 0
  • ISBN 10 : 0471269875

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Calculus and Pizza Excerpt :

CALCULUS + PEPPERONI / FUN = MATH SUCCESS Do you want to do well on your calculus exam? Are you looking for a quick refresher course? Or would you just like to get a taste of what calculus is all about? If so, you've selected the right book. Calculus and Pizza is a creative, surprisingly delicious overview of the essential rules and formulas of calculus, with tons of problems for the learner with a healthy appetite. Setting up residence in a pizza parlor, Clifford Pickover focuses on procedures for solving problems, offering short, easy-to-digest chapters that allow you to quickly get the essence of a technique or question. From exponentials and logarithms to derivatives and multiple integrals, the book utilizes pepperoni, meatballs, and more to make complex topics fun to learn-emphasizing basic, practical principles to help you calculate the speed of tossed pizza dough or the rising cost of eggplant parmigiana. Plus, you'll see how simple math-and a meal-can solve especially curious and even mind-shattering problems. Authoritatively and humorously written, Calculus and Pizza provides a lively-and more tasteful-approach to calculus. "Pickover has published nearly a book a year in which he stretches the limits of computers, art, and thought." —Los Angeles Times "A perpetual idea machine, Clifford Pickover is one of the most creative, original thinkers in the world today." —Journal of Recreational Mathematics

Calculus Book

Calculus


  • Author : Deborah Hughes-Hallett
  • Publisher : John Wiley & Sons
  • Release Date : 2020-12-03
  • Genre: Mathematics
  • Pages : 466
  • ISBN 10 : 9781119777915

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Calculus Excerpt :

The ideal resource for promoting active learning in flipped classroom environments, Calculus: Multivariable, 8th Edition brings calculus to real life with relevant examples and a variety of problems with applications from the physical sciences, economics, health, biology, engineering, and economics. Emphasizing the Rule of Four—viewing problems graphically, numerically, symbolically, and verbally—this popular textbook provides students with numerous opportunities to master key mathematical concepts and apply critical thinking skills to reveal solutions to mathematical problems. Developed by Calculus Consortium based at Harvard University, Calculus: Multivariable uses a student-friendly approach that highlights the practical value of mathematics while reinforcing both the conceptual understanding and computational skills required to reduce complicated problems to simple procedures. The new eighth edition further reinforces the Rule of Four, offers additional problem sets and updated examples, and supports complex, multi-part questions through new visualizations and graphing questions powered by GeoGebra.