| Author | : Hartry H. Field |
| Publisher | : Oxford University Press |
| Total Pages | : 180 |
| Release | : 2016 |
| Genre | : Mathematics |
| ISBN | : 0198777914 |
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.
| Author | : Hartry Field |
| Publisher | : Oxford University Press |
| Total Pages | : 176 |
| Release | : 2016-10-13 |
| Genre | : Philosophy |
| ISBN | : 0191083771 |
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.
| Author | : Milo Beckman |
| Publisher | : Penguin UK |
| Total Pages | : 224 |
| Release | : 2021-01-07 |
| Genre | : Mathematics |
| ISBN | : 0241507588 |
'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.
| Author | : Barbara A. Oakley |
| Publisher | : TarcherPerigee |
| Total Pages | : 338 |
| Release | : 2014-07-31 |
| Genre | : Mathematics |
| ISBN | : 039916524X |
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.
| Author | : Barry Bozeman |
| Publisher | : Princeton University Press |
| Total Pages | : 242 |
| Release | : 2020-07-14 |
| Genre | : Science |
| ISBN | : 0691202621 |
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.
| Author | : Geoffrey Hellman |
| Publisher | : Clarendon Press |
| Total Pages | : 172 |
| Release | : 1989-10-12 |
| Genre | : Philosophy |
| ISBN | : 019152011X |
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.
| Author | : Cornelius Lanczos |
| Publisher | : |
| Total Pages | : 184 |
| Release | : 1968 |
| Genre | : Arithmetic |
| ISBN | : |
| Author | : Brian Clegg |
| Publisher | : Macmillan |
| Total Pages | : 303 |
| Release | : 2016-12-06 |
| Genre | : Mathematics |
| ISBN | : 1250081041 |
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.
| Author | : Markus J. Prutsch |
| Publisher | : Springer |
| Total Pages | : 386 |
| Release | : 2019-06-04 |
| Genre | : Political Science |
| ISBN | : 303011208X |
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?
