'Circularity' is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossible.
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes.
This book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and extends to our own time, while also tracing both aspects to earlier periods, beginning with the ancient Greek mathematics.
An award-winning history of the Enlightenment quest to devise a mathematical model of rationalityWhat did it mean to be reasonable in the Age of Reason?
This book develops the core proposition that systems theory is an attempt to construct an "e;exact and scientific metaphysics,"e; a system of general ideas central to science that can be expressed mathematically.
Numbers: A Cultural History provides students with a compelling interdisciplinary view of the development of mathematics and its relationship to world cultures over 4,500 years of human history.
This book examines the correspondence between international relations (IR) theories of structural realism and constructivism and paintings, notably the artwork of Mark Rothko and Jackson Pollock, in a game theory setting.
This book examines the correspondence between international relations (IR) theories of structural realism and constructivism and paintings, notably the artwork of Mark Rothko and Jackson Pollock, in a game theory setting.
This volume brings together new essays that consider Wittgenstein's treatment of the phenomenon of aspect perception in relation to the broader idea of conceptual novelty; that is, the acquisition or creation of new concepts, and the application of an acquired understanding in unfamiliar or novel situations.
This monograph explores the logical systems of early logicians in the Arabic tradition from a theoretical perspective, providing a complete panorama of early Arabic logic and centering it within an expansive historical context.
This book develops a new approach to plural arbitrary reference and examines mereology, including considering four theses on the alleged innocence of mereology.
Wer Analysis lernt, fragt sich irgendwann: Wie und warum kamen all diese merkwürdigen Begriffe zustande – Zahl, Funktion, Stetigkeit, Konvergenz, Differenzial, Integral?
This book constitutes the refereed proceedings of the 20th International Conference on Group Decision and Negotiation, GDN 2020, which was planned to be held in Toronto, ON, Canada, during June 7-11, 2020.
This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations.
A stunning anniversary edition of Alice's adventures, illustrated by Salvador Dali Commemorating the 150th anniversary of one of the most beloved classics of children's literature, this illustrated edition presents Alice like you've never seen her before.
This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice.
An entertaining look at the origins of mathematical symbolsWhile all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century.
The computer science problem whose solution could transform life as we know itThe P-NP problem is the most important open problem in computer science, if not all of mathematics.
An accessible book that examines the mathematics of weather predictionInvisible in the Storm is the first book to recount the history, personalities, and ideas behind one of the greatest scientific successes of modern times-the use of mathematics in weather prediction.
An unparalleled illustrated history of spherical trigonometry from antiquity to todayHeavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth.
How two pioneers of math and technology ushered in the computer revolutionBoolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use-from our computers and cars, to home appliances.
A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick.
This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned.
A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreationLogic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since.
The legendary Renaissance math duel that ushered in the modern age of algebraThe Secret Formula tells the story of two Renaissance mathematicians whose jealousies, intrigues, and contentious debates led to the discovery of a formula for the solution of the cubic equation.
How a simple equation reshaped mathematicsLeonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules.
This volume brings together philosophers and physicists to explore the parallels between Quantum Bayesianism, or QBism, and the phenomenological tradition.
All the Math Your 5th Grader Needs to SucceedThis book will help your elementary school student develop the math skills needed to succeed in the classroom and on standardized tests.
Artificial Intelligence: An Introduction to Big Ideas and their Development, Second Edition guides readers through the history and development of artificial intelligence (AI), from its early mathematical beginnings through to the exciting possibilities of its potential future applications.
