Thinking and Calculating

Thinking and Calculating

Author: Francesco Ademollo

Publisher: Springer Nature

Published: 2022-07-04

Total Pages: 455

ISBN-13: 3030973034

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This volume collects 22 essays on the history of logic written by outstanding specialists in the field. The book was originally prompted by the 2018-2019 celebrations in honor of Massimo Mugnai, a world-renowned historian of logic, whose contributions on Medieval and Modern logic, and to the understanding of the logical writings of Leibniz in particular, have shaped the field in the last four decades. Given the large number of recent contributions in the history of logic that have some connections or debts with Mugnai’s work, the editors have attempted to produce a volume showing the vastness of the development of logic throughout the centuries. We hope that such a volume may help both the specialist and the student to realize the complexity of the history of logic, the large array of problems that were touched by the discipline, and the manifold relations that logic entertained with other subjects in the course of the centuries. The contributions of the volume, in fact, span from Antiquity to the Modern Age, from semantics to linguistics and proof theory, from the discussion of technical problems to deep metaphysical questions, and in it the history of logic is kept in dialogue with the history of mathematics, economics, and the moral sciences at large.


Book Synopsis Thinking and Calculating by : Francesco Ademollo

Download or read book Thinking and Calculating written by Francesco Ademollo and published by Springer Nature. This book was released on 2022-07-04 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects 22 essays on the history of logic written by outstanding specialists in the field. The book was originally prompted by the 2018-2019 celebrations in honor of Massimo Mugnai, a world-renowned historian of logic, whose contributions on Medieval and Modern logic, and to the understanding of the logical writings of Leibniz in particular, have shaped the field in the last four decades. Given the large number of recent contributions in the history of logic that have some connections or debts with Mugnai’s work, the editors have attempted to produce a volume showing the vastness of the development of logic throughout the centuries. We hope that such a volume may help both the specialist and the student to realize the complexity of the history of logic, the large array of problems that were touched by the discipline, and the manifold relations that logic entertained with other subjects in the course of the centuries. The contributions of the volume, in fact, span from Antiquity to the Modern Age, from semantics to linguistics and proof theory, from the discussion of technical problems to deep metaphysical questions, and in it the history of logic is kept in dialogue with the history of mathematics, economics, and the moral sciences at large.


Reckoning with Matter

Reckoning with Matter

Author: Matthew L. Jones

Publisher: University of Chicago Press

Published: 2016-11-29

Total Pages: 340

ISBN-13: 022641163X

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From Blaise Pascal in the 1600s to Charles Babbage in the first half of the nineteenth century, inventors struggled to create the first calculating machines. All failed—but that does not mean we cannot learn from the trail of ideas, correspondence, machines, and arguments they left behind. In Reckoning with Matter, Matthew L. Jones draws on the remarkably extensive and well-preserved records of the quest to explore the concrete processes involved in imagining, elaborating, testing, and building calculating machines. He explores the writings of philosophers, engineers, and craftspeople, showing how they thought about technical novelty, their distinctive areas of expertise, and ways they could coordinate their efforts. In doing so, Jones argues that the conceptions of creativity and making they exhibited are often more incisive—and more honest—than those that dominate our current legal, political, and aesthetic culture.


Book Synopsis Reckoning with Matter by : Matthew L. Jones

Download or read book Reckoning with Matter written by Matthew L. Jones and published by University of Chicago Press. This book was released on 2016-11-29 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Blaise Pascal in the 1600s to Charles Babbage in the first half of the nineteenth century, inventors struggled to create the first calculating machines. All failed—but that does not mean we cannot learn from the trail of ideas, correspondence, machines, and arguments they left behind. In Reckoning with Matter, Matthew L. Jones draws on the remarkably extensive and well-preserved records of the quest to explore the concrete processes involved in imagining, elaborating, testing, and building calculating machines. He explores the writings of philosophers, engineers, and craftspeople, showing how they thought about technical novelty, their distinctive areas of expertise, and ways they could coordinate their efforts. In doing so, Jones argues that the conceptions of creativity and making they exhibited are often more incisive—and more honest—than those that dominate our current legal, political, and aesthetic culture.


Think Like A Maths Genius

Think Like A Maths Genius

Author: Michael Shermer

Publisher: Souvenir Press

Published: 2011-09-01

Total Pages: 303

ISBN-13: 0285640666

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Did you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds? In Think Like A Maths Genius, two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster.


Book Synopsis Think Like A Maths Genius by : Michael Shermer

Download or read book Think Like A Maths Genius written by Michael Shermer and published by Souvenir Press. This book was released on 2011-09-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds? In Think Like A Maths Genius, two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster.


Not Even Wrong

Not Even Wrong

Author: Peter Woit

Publisher: Random House

Published: 2011-08-31

Total Pages: 306

ISBN-13: 1446443019

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Not Even Wrong is a fascinating exploration of our attempts to come to grips with perhaps the most intellectually demanding puzzle of all: how does the universe work at its most fundamnetal level? The book begins with an historical survey of the experimental and theoretical developments that led to the creation of the phenomenally successful 'Standard Model' of particle physics around 1975. Despite its successes, the Standard Model does not answer all the key questions and physicists continuing search for answers led to the development of superstring theory. However, after twenty years, superstring theory has failed to advance beyond the Standard Model. The absence of experimental evidence is at the core of this controversial situation which means that it is impossible to prove that superstring theory is either right or wrong. To date, only the arguments of the theory's advocates have received much publicity. Not Even Wrong provides readers with another side of the story.


Book Synopsis Not Even Wrong by : Peter Woit

Download or read book Not Even Wrong written by Peter Woit and published by Random House. This book was released on 2011-08-31 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not Even Wrong is a fascinating exploration of our attempts to come to grips with perhaps the most intellectually demanding puzzle of all: how does the universe work at its most fundamnetal level? The book begins with an historical survey of the experimental and theoretical developments that led to the creation of the phenomenally successful 'Standard Model' of particle physics around 1975. Despite its successes, the Standard Model does not answer all the key questions and physicists continuing search for answers led to the development of superstring theory. However, after twenty years, superstring theory has failed to advance beyond the Standard Model. The absence of experimental evidence is at the core of this controversial situation which means that it is impossible to prove that superstring theory is either right or wrong. To date, only the arguments of the theory's advocates have received much publicity. Not Even Wrong provides readers with another side of the story.


The Unity of Wittgenstein's Philosophy

The Unity of Wittgenstein's Philosophy

Author: Jose Medina

Publisher: SUNY Press

Published: 2002-07-17

Total Pages: 250

ISBN-13: 9780791453889

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Explores the stable core of Wittgenstein's philosophy as developed from the Tractatus to the Philosophical Investigations.


Book Synopsis The Unity of Wittgenstein's Philosophy by : Jose Medina

Download or read book The Unity of Wittgenstein's Philosophy written by Jose Medina and published by SUNY Press. This book was released on 2002-07-17 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the stable core of Wittgenstein's philosophy as developed from the Tractatus to the Philosophical Investigations.


Reckoning with Matter

Reckoning with Matter

Author: Matthew Laurence Jones

Publisher:

Published: 2016

Total Pages: 0

ISBN-13:

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Book Synopsis Reckoning with Matter by : Matthew Laurence Jones

Download or read book Reckoning with Matter written by Matthew Laurence Jones and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Calculated Values

Calculated Values

Author: William Deringer

Publisher: Harvard University Press

Published: 2018-02-19

Total Pages: 439

ISBN-13: 0674971876

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Modern political culture features a deep-seated faith in the power of numbers. But quantitative evidence has not always been revered, as William Deringer shows. After the 1688 Revolution, as Britons learned to fight by the numbers, their enthusiasm for figures arose not from efforts to find objective truths but from the turmoil of politics itself.


Book Synopsis Calculated Values by : William Deringer

Download or read book Calculated Values written by William Deringer and published by Harvard University Press. This book was released on 2018-02-19 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern political culture features a deep-seated faith in the power of numbers. But quantitative evidence has not always been revered, as William Deringer shows. After the 1688 Revolution, as Britons learned to fight by the numbers, their enthusiasm for figures arose not from efforts to find objective truths but from the turmoil of politics itself.


All Positive Action Starts with Criticism

All Positive Action Starts with Criticism

Author: Sacha la Bastide-van Gemert

Publisher: Springer

Published: 2015-01-16

Total Pages: 393

ISBN-13: 9401793344

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This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.


Book Synopsis All Positive Action Starts with Criticism by : Sacha la Bastide-van Gemert

Download or read book All Positive Action Starts with Criticism written by Sacha la Bastide-van Gemert and published by Springer. This book was released on 2015-01-16 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.


Routines for Reasoning

Routines for Reasoning

Author: Grace Kelemanik

Publisher: Heinemann Educational Books

Published: 2016

Total Pages: 0

ISBN-13: 9780325078151

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Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.


Book Synopsis Routines for Reasoning by : Grace Kelemanik

Download or read book Routines for Reasoning written by Grace Kelemanik and published by Heinemann Educational Books. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.


Calculating God

Calculating God

Author: Robert J. Sawyer

Publisher: Macmillan

Published: 2009-03-03

Total Pages: 338

ISBN-13: 1429914599

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Calculating God is the new near-future SF thriller from the popular and award-winning Robert J. Sawyer. An alien shuttle craft lands outside the Royal Ontario Museum in Toronto. A six-legged, two-armed alien emerges, who says, in perfect English, "Take me to a paleontologist." It seems that Earth, and the alien's home planet, and the home planet of another alien species traveling on the alien mother ship, all experienced the same five cataclysmic events at about the same time (one example of these "cataclysmic events" would be the meteor that wiped out the dinosaurs). Both alien races believe this proves the existence of God: i.e. he's obviously been playing with the evolution of life on each of these planets. From this provocative launch point, Sawyer tells a fast-paced, and morally and intellectually challenging, SF story that just grows larger and larger in scope. The evidence of God's universal existence is not universally well received on Earth, nor even immediately believed. And it reveals nothing of God's nature. In fact. it poses more questions than it answers. When a supernova explodes out in the galaxy but close enough to wipe out life on all three home-worlds, the big question is, Will God intervene or is this the sixth cataclysm:? Calculating God is SF on the grand scale. Calculating God is a 2001 Hugo Award Nominee for Best Novel. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.


Book Synopsis Calculating God by : Robert J. Sawyer

Download or read book Calculating God written by Robert J. Sawyer and published by Macmillan. This book was released on 2009-03-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculating God is the new near-future SF thriller from the popular and award-winning Robert J. Sawyer. An alien shuttle craft lands outside the Royal Ontario Museum in Toronto. A six-legged, two-armed alien emerges, who says, in perfect English, "Take me to a paleontologist." It seems that Earth, and the alien's home planet, and the home planet of another alien species traveling on the alien mother ship, all experienced the same five cataclysmic events at about the same time (one example of these "cataclysmic events" would be the meteor that wiped out the dinosaurs). Both alien races believe this proves the existence of God: i.e. he's obviously been playing with the evolution of life on each of these planets. From this provocative launch point, Sawyer tells a fast-paced, and morally and intellectually challenging, SF story that just grows larger and larger in scope. The evidence of God's universal existence is not universally well received on Earth, nor even immediately believed. And it reveals nothing of God's nature. In fact. it poses more questions than it answers. When a supernova explodes out in the galaxy but close enough to wipe out life on all three home-worlds, the big question is, Will God intervene or is this the sixth cataclysm:? Calculating God is SF on the grand scale. Calculating God is a 2001 Hugo Award Nominee for Best Novel. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.