Science Without Numbers

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Science without Numbers

Author : Hartry Field
Publisher : Oxford University Press
ISBN 13 : 0191083771
Total Pages : 176 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Science without Numbers by : Hartry Field

Download or read book Science without Numbers written by Hartry Field and published by Oxford University Press. This book was released on 2016-10-13 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science Without Numbers caused a stir in philosophy on its original publication in 1980, with its bold nominalist approach to the ontology of mathematics and science. Hartry Field argues that we can explain the utility of mathematics without assuming it true. Part of the argument is that good mathematics has a special feature ("conservativeness") that allows it to be applied to "nominalistic" claims (roughly, those neutral to the existence of mathematical entities) in a way that generates nominalistic consequences more easily without generating any new ones. Field goes on to argue that we can axiomatize physical theories using nominalistic claims only, and that in fact this has advantages over the usual axiomatizations that are independent of nominalism. There has been much debate about the book since it first appeared. It is now reissued in a revised contains a substantial new preface giving the author's current views on the original book and the issues that were raised in the subsequent discussion of it.

Science Without Numbers

Author : Hartry H. Field
Publisher : Oxford University Press
ISBN 13 : 0198777914
Total Pages : 180 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Science Without Numbers by : Hartry H. Field

Download or read book Science Without Numbers written by Hartry H. Field and published by Oxford University Press. This book was released on 2016 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.

Math Without Numbers

Author : Milo Beckman
Publisher : Penguin UK
ISBN 13 : 0241507588
Total Pages : 224 pages
Book Rating : 4.2/5 (415 download)

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Book Synopsis Math Without Numbers by : Milo Beckman

Download or read book Math Without Numbers written by Milo Beckman and published by Penguin UK. This book was released on 2021-01-07 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The whizz-kid making maths supercool. . . A brilliant book that takes everything we know (and fear) about maths out of the equation - starting with numbers' The Times 'A cheerful, chatty, and charming trip through the world of mathematics. . . Everyone should read this delightful book' Ian Stewart, author of Do Dice Play God? The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided? A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful.

A Mind for Numbers

Author : Barbara A. Oakley
Publisher : TarcherPerigee
ISBN 13 : 039916524X
Total Pages : 338 pages
Book Rating : 4.3/5 (991 download)

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Book Synopsis A Mind for Numbers by : Barbara A. Oakley

Download or read book A Mind for Numbers written by Barbara A. Oakley and published by TarcherPerigee. This book was released on 2014-07-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

Science Without Numbers

Author : Hartry H. Field
Publisher :
ISBN 13 : 9780191823381
Total Pages : 111 pages
Book Rating : 4.8/5 (233 download)

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Book Synopsis Science Without Numbers by : Hartry H. Field

Download or read book Science Without Numbers written by Hartry H. Field and published by . This book was released on 2016 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Science Without Numbers' caused a stir when it was originally published in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for 20 years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.

The Strength in Numbers

Author : Barry Bozeman
Publisher : Princeton University Press
ISBN 13 : 0691202621
Total Pages : 242 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis The Strength in Numbers by : Barry Bozeman

Download or read book The Strength in Numbers written by Barry Bozeman and published by Princeton University Press. This book was released on 2020-07-14 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why collaborations in STEM fields succeed or fail and how to ensure success Once upon a time, it was the lone scientist who achieved brilliant breakthroughs. No longer. Today, science is done in teams of as many as hundreds of researchers who may be scattered across continents. These collaborations can be powerful, but they also demand new ways of thinking. The Strength in Numbers illuminates the nascent science of team science by synthesizing the results of the most far-reaching study to date on collaboration among university scientists. Drawing on a national survey with responses from researchers at more than one hundred universities, archival data, and extensive interviews with scientists and engineers in over a dozen STEM disciplines, Barry Bozeman and Jan Youtie establish a framework for characterizing different collaborations and their outcomes, and lay out what they have found to be the gold-standard approach: consultative collaboration management. The Strength in Numbers is an indispensable guide for scientists interested in maximizing collaborative success.

Numbers Without End

Author : Cornelius Lanczos
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Numbers Without End by : Cornelius Lanczos

Download or read book Numbers Without End written by Cornelius Lanczos and published by . This book was released on 1968 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Science, Numbers and Politics

Author : Markus J. Prutsch
Publisher : Springer
ISBN 13 : 303011208X
Total Pages : 386 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Science, Numbers and Politics by : Markus J. Prutsch

Download or read book Science, Numbers and Politics written by Markus J. Prutsch and published by Springer. This book was released on 2019-06-04 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study explores the dynamic relationship between science, numbers and politics. What can scientific evidence realistically do in and for politics? The volume contributes to that debate by focusing on the role of “numbers” as a means by which knowledge is expressed and through which that knowledge can be transferred into the political realm. Based on the assumption that numbers are constantly being actively created, translated, and used, and that they need to be interpreted in their respective and particular contexts, it examines how numbers and quantifications are made ‘politically workable’, examining their production, their transition into the sphere of politics and their eventual use therein. Key questions that are addressed include: In what ways does scientific evidence affect political decision-making in the contemporary world? How and why did quantification come to play such an important role within democratic politics? What kind of work do scientific evidence and numbers do politically?

Just Six Numbers

Author : Martin Rees
Publisher : Basic Books
ISBN 13 : 0786723580
Total Pages : 140 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Just Six Numbers by : Martin Rees

Download or read book Just Six Numbers written by Martin Rees and published by Basic Books. This book was released on 2008-08-04 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: How did a single "genesis event" create billions of galaxies, black holes, stars and planets? How did atoms assemble -- here on earth, and perhaps on other worlds -- into living beings intricate enough to ponder their origins? What fundamental laws govern our universe?This book describes new discoveries and offers remarkable insights into these fundamental questions. There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.

Are Numbers Real?

Author : Brian Clegg
Publisher : Macmillan
ISBN 13 : 1250081041
Total Pages : 303 pages
Book Rating : 4.2/5 (5 download)

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Book Synopsis Are Numbers Real? by : Brian Clegg

Download or read book Are Numbers Real? written by Brian Clegg and published by Macmillan. This book was released on 2016-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an accessible, in-depth look at the history of numbers and their applications in life and science, from math's surreal presence in the virtual world to the debates about the role of math in science.

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 0143127535
Total Pages : 482 pages
Book Rating : 4.1/5 (431 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Mathematics without Numbers

Author : Geoffrey Hellman
Publisher : Clarendon Press
ISBN 13 : 019152011X
Total Pages : 172 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Mathematics without Numbers by : Geoffrey Hellman

Download or read book Mathematics without Numbers written by Geoffrey Hellman and published by Clarendon Press. This book was released on 1989-10-12 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.

Sacred Science of Numbers

Author : Corinne Heline
Publisher : Devorss Publications
ISBN 13 : 9780875164427
Total Pages : 110 pages
Book Rating : 4.1/5 (644 download)

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Book Synopsis Sacred Science of Numbers by : Corinne Heline

Download or read book Sacred Science of Numbers written by Corinne Heline and published by Devorss Publications. This book was released on 1981-06-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Making Numbers Count

Author : Chip Heath
Publisher : Simon and Schuster
ISBN 13 : 1982165456
Total Pages : 208 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis Making Numbers Count by : Chip Heath

Download or read book Making Numbers Count written by Chip Heath and published by Simon and Schuster. This book was released on 2022-01-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.

Math Art

Author : Stephen Ornes
Publisher : Sterling New York
ISBN 13 : 9781454930440
Total Pages : 0 pages
Book Rating : 4.9/5 (34 download)

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Book Synopsis Math Art by : Stephen Ornes

Download or read book Math Art written by Stephen Ornes and published by Sterling New York. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The worlds of visual art and mathematics beautifully unite in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting such pieces as a colorful crocheted representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. We learn the artist's story for every work, plus the mathematical concepts and equations behind the art.

Saving Truth From Paradox

Author : Hartry Field
Publisher : OUP Oxford
ISBN 13 : 0191528161
Total Pages : 432 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Saving Truth From Paradox by : Hartry Field

Download or read book Saving Truth From Paradox written by Hartry Field and published by OUP Oxford. This book was released on 2008-03-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saving Truth from Paradox is an ambitious investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches. Part One examines Tarski's, Kripke’s, and Lukasiewicz’s theories of truth, and discusses validity and soundness, and vagueness. Part Two considers a wide range of attempts to resolve the paradoxes within classical logic. In Part Three Field turns to non-classical theories of truth that that restrict excluded middle. He shows that there are theories of this sort in which the conditionals obey many of the classical laws, and that all the semantic paradoxes (not just the simplest ones) can be handled consistently with the naive theory of truth. In Part Four, these theories are extended to the property-theoretic paradoxes and to various other paradoxes, and some issues about the understanding of the notion of validity are addressed. Extended paradoxes, involving the notion of determinate truth, are treated very thoroughly, and a number of different arguments that the theories lead to "revenge problems" are addressed. Finally, Part Five deals with dialetheic approaches to the paradoxes: approaches which, instead of restricting excluded middle, accept certain contradictions but alter classical logic so as to keep them confined to a relatively remote part of the language. Advocates of dialetheic theories have argued them to be better than theories that restrict excluded middle, for instance over issues related to the incompleteness theorems and in avoiding revenge problems. Field argues that dialetheists’ claims on behalf of their theories are quite unfounded, and indeed that on some of these issues all current versions of dialetheism do substantially worse than the best theories that restrict excluded middle.

Science Without Numbers

Author : Hartry Field
Publisher :
ISBN 13 : 9780691628127
Total Pages : 0 pages
Book Rating : 4.6/5 (281 download)

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Book Synopsis Science Without Numbers by : Hartry Field

Download or read book Science Without Numbers written by Hartry Field and published by . This book was released on 2015-08-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the doctrine of nominalism, abstract entities--such as numbers, functions, and sets--do not exist. The problem this normally poses for a description of the physical world is as follows: any such description must include a physical theory, physical theories are assumed to require mathematics, and mathematics is replete with references to abstract entities. How, then, can nominalism reasonably be maintained? In answer, Hartry Field shows how abstract entities ultimately are dispensable in describing the physical world and that, indeed, we can "do science without numbers." The author also argues that despite the ultimate dispensability of mathematical entities, mathematics remains useful, and that its usefulness can be explained by the nominalist. The explanation of the utility of mathematics does not presuppose that mathematics is true, but only that it is consistent. The argument that the nominalist can freely use mathematics in certain contexts without assuming it to be true appears early on, and it first seems to license only a quite limited use of mathematics. But when combined with the later argument that abstract entities ultimately are dispensable in physical theories, the conclusion emerges that even the most sophisticated applications of mathematics depend only on the assumption that mathematics is consistent and not on the assumption that it is true. Originally published in 2050. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.