Calculus of Thought

Calculus of Thought PDF Author: Daniel M. Rice
Publisher:
ISBN: 9780124104075
Category : Mathematics
Languages : en
Pages : 280

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Book Description
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."

Calculus of Thought

Calculus of Thought PDF Author: Daniel M. Rice
Publisher:
ISBN: 9780124104075
Category : Mathematics
Languages : en
Pages : 280

Get Book Here

Book Description
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."

A Calculus of Ideas

A Calculus of Ideas PDF Author: Ulf Grenander
Publisher: World Scientific
ISBN: 9814383198
Category : Computers
Languages : en
Pages : 236

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Book Description
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.

Calculus of Thought

Calculus of Thought PDF Author: Daniel M Rice
Publisher: Academic Press
ISBN: 0124104525
Category : Mathematics
Languages : en
Pages : 295

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Book Description
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

From Calculus to Cohomology

From Calculus to Cohomology PDF Author: Ib H. Madsen
Publisher: Cambridge University Press
ISBN: 9780521589567
Category : Mathematics
Languages : en
Pages : 302

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Book Description
An introductory textbook on cohomology and curvature with emphasis on applications.

Calculus on Manifolds

Calculus on Manifolds PDF Author: Michael Spivak
Publisher: Westview Press
ISBN: 9780805390216
Category : Science
Languages : en
Pages : 164

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Book Description
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

Change Is the Only Constant

Change Is the Only Constant PDF Author: Ben Orlin
Publisher: Black Dog & Leventhal
ISBN: 031650906X
Category : Mathematics
Languages : en
Pages : 459

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Book Description
From 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.

Infinite Powers

Infinite Powers PDF Author: Steven Strogatz
Publisher: Mariner Books
ISBN: 1328879984
Category : Biography & Autobiography
Languages : en
Pages : 389

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Book Description
This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.

A Brief History of Mathematical Thought

A Brief History of Mathematical Thought PDF Author: Luke Heaton
Publisher: Oxford University Press
ISBN: 0190621761
Category : History
Languages : en
Pages : 337

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Book Description
A compelling and readable book that situates mathematics in human experience and history.

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being PDF Author: George Lakoff
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 520

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Book Description
A study of the cognitive science of mathematical ideas.

Elementary Calculus

Elementary Calculus PDF Author: Frederick Shenstone Woods
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 438

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Book Description