Reasoning with the Infinite - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Reasoning with the Infinite write by Michel Blay. This book was released on 1998. Reasoning with the Infinite available in PDF, EPUB and Kindle. Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis. "One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist
Algebraic Foundations of Many-Valued Reasoning
Algebraic Foundations of Many-Valued Reasoning - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Foundations of Many-Valued Reasoning write by R.L. Cignoli. This book was released on 2013-03-09. Algebraic Foundations of Many-Valued Reasoning available in PDF, EPUB and Kindle. This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to adaptive error-correcting binary search. The book is suitable for self-study, making the basic tools of many-valued logic accessible to students and scientists with a basic mathematical knowledge who are interested in the mathematical treatment of uncertain information. Stressing the interplay between algebra and logic, the book contains material never before published, such as a simple proof of the completeness theorem and of the equivalence between Chang's MV algebras and Abelian lattice-ordered groups with unit - a necessary prerequisite for the incorporation of a genuine addition operation into fuzzy logic. Readers interested in fuzzy control are provided with a rich deductive system in which one can define fuzzy partitions, just as Boolean partitions can be defined and computed in classical logic. Detailed bibliographic remarks at the end of each chapter and an extensive bibliography lead the reader on to further specialised topics.
Mathematical Reasoning
Mathematical Reasoning - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Reasoning write by Theodore A. Sundstrom. This book was released on 2007. Mathematical Reasoning available in PDF, EPUB and Kindle. Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom
Truth, Proof and Infinity
Truth, Proof and Infinity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Truth, Proof and Infinity write by P. Fletcher. This book was released on 2013-06-29. Truth, Proof and Infinity available in PDF, EPUB and Kindle. Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it. However, the meaning of the terms `construction' and `proof' has never been adequately explained (although Kriesel, Goodman and Martin-Löf have attempted axiomatisations). This monograph develops precise (though not wholly formal) definitions of construction and proof, and describes the algorithmic substructure underlying intuitionistic logic. Interpretations of Heyting arithmetic and constructive analysis are given. The philosophical basis of constructivism is explored thoroughly in Part I. The author seeks to answer objections from platonists and to reconcile his position with the central insights of Hilbert's formalism and logic. Audience: Philosophers of mathematics and logicians, both academic and graduate students, particularly those interested in Brouwer and Hilbert; theoretical computer scientists interested in the foundations of functional programming languages and program correctness calculi.
An Infinite Descent Into Pure Mathematics
An Infinite Descent Into Pure Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Infinite Descent Into Pure Mathematics write by Clive Newstead. This book was released on 2019-08. An Infinite Descent Into Pure Mathematics available in PDF, EPUB and Kindle. This introductory undergraduate-level textbook covers the knowledge and skills required to study pure mathematics at an advanced level. Emphasis is placed on communicating mathematical ideas precisely and effectively. A wide range of topic areas are covered.
