Author: Daniel Arwin ClockPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 372
Book Description
A New British Concept of Algebra, 1825-1850
Author: Daniel Arwin ClockPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 372
Book Description
A new concept of algebra: 1825-1850
Author: Daniel Arwin ClockBritish Logic in the Nineteenth Century
Author: Dov M. GabbayPublisher: Elsevier
ISBN: 0080557015
Category : Mathematics
Languages : en
Pages : 751
Book Description
The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic. British Logic in the Nineteenth Century is indispensable reading and a definitive research resource for anyone with an interest in the history of logic.- Detailed and comprehensive chapters covering the entire range of modal logic - Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic
Learn from the Masters!
Author: Frank SwetzPublisher: Cambridge University Press
ISBN: 9780883857038
Category : Mathematics
Languages : en
Pages : 322
Book Description
This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.
Creatively Undecided
Author: Menachem FischPublisher: University of Chicago Press
ISBN: 022651465X
Category : Philosophy
Languages : en
Pages : 304
Book Description
Thomas Kuhn and Karl Popper are believed by many who study science to be the two key thinkers of the twentieth century. Each addressed the question of how scientific theories change, but they came to different conclusions. By turning our attention to ambiguity and indecision in science, Menachem Fisch, in Creatively Undecided, offers a new way to look at how scientific understandings change. Following Kuhn, Fisch argues that scientific practice depends on the framework in which it is conducted, but he also shows that those frameworks can be understood as the possible outcomes of the rational deliberation that Popper viewed as central to theory change. How can a scientist subject her standards to rational appraisal if that very act requires the use of those standards? The way out, Fisch argues, is by looking at the incentives scientists have to create alternative frameworks in the first place. Fisch argues that while science can only be transformed from within, by people who have standing in the field, criticism from the outside is essential. We may not be able to be sufficiently self-critical on our own, but trusted criticism from outside, even if resisted, can begin to change our perspective—at which point transformative self-criticism becomes a real option.
Augustus De Morgan and the Logic of Relations
Author: Daniel D. MerrillPublisher: Springer Science & Business Media
ISBN: 9400920474
Category : Philosophy
Languages : en
Pages : 273
Book Description
The middle years of the nineteenth century saw two crucial develop ments in the history of modern logic: George Boole's algebraic treat ment of logic and Augustus De Morgan's formulation of the logic of relations. The former episode has been studied extensively; the latter, hardly at all. This is a pity, for the most central feature of modern logic may well be its ability to handle relational inferences. De Morgan was the first person to work out an extensive logic of relations, and the purpose of this book is to study this attempt in detail. Augustus De Morgan (1806-1871) was a British mathematician and logician who was Professor of Mathematics at the University of London (now, University College) from 1828 to 1866. A prolific but not highly original mathematician, De Morgan devoted much of his energies to the rather different field of logic. In his Formal Logic (1847) and a series of papers "On the Syllogism" (1846-1862), he attempted with great ingenuity to reformulate and extend the tradi tional syllogism and to systematize modes of reasoning that lie outside its boundaries. Chief among these is the logic of relations. De Mor gan's interest in relations culminated in his important memoir, "On the Syllogism: IV and on the Logic of Relations," read in 1860.
Dissertation Abstracts
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1312
Book Description
Dictionary of Scientific Biography
Author: Dictionary of Scientific Biography
Author: Charles Coulston GillispiePublisher:
ISBN:
Category : Biography
Languages : en
Pages : 648
Book Description
Also available online as part of the Gale Virtual Reference Library under the title Complete dictionary of scientific biography.
Biographical Dictionary of Mathematicians
Author: Publisher: MacMillan Publishing Company
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 648
Book Description
Vol. 1. Neils Abel-René Descartes. Vol. 2. Leonard Dickson-Al-Khwarizmi. Vol. 3. T homas Kirkman - Isaac Newton. Vol. 4. Jerzy Neyman-Niccoló Zucchi, Chronology. Index.