Sixty years after its first edition, there is an increasing consensus among scholars that the work posthumously published as Philosophical Investigations represents something that is far from a complete picture of Wittgenstein's second book project.
The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject.
A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics is one of humanity's most successful yet puzzling endeavors.
In Mathematics of the Transcendental, Alain Badiou painstakingly works through the pertinent aspects of category theory, demonstrating their internal logic and veracity, their derivation and distinction from set theory, and the 'thinking of being'.
Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics.
This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics.
A lively collection of fun and challenging problems in ancient Egyptian mathThe mathematics of ancient Egypt was fundamentally different from our math today.
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another.
The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science introduces readers to the Bayesian approach to science: teasing out the link between probability and knowledge.
Reissuing works originally published between 1931 and 1990, this set of twenty-four books covers the full range of the philosophy of logic, from introductions to logic, to calculus and mathematical logic, to logic in language and linguistics and logical reasoning in law and ethics.
Jesuit engagement with natural philosophy during the late 16th and early 17th centuries transformed the status of the mathematical disciplines and propelled members of the Order into key areas of controversy in relation to Aristotelianism.
Sixty years after its first edition, there is an increasing consensus among scholars that the work posthumously published as Philosophical Investigations represents something that is far from a complete picture of Wittgenstein's second book project.
Why bother to praise mathematics when you claim, as Alain Badiou does, that philosophy is first and foremost a metaphysics of happiness, or else it s not worth an hour of trouble?
The Ganitatilaka and its Commentary: Two Medieval Sanskrit Mathematical Texts presents the first English annotated translation and analysis of the Ganitatilaka by Sripati and its Sanskrit commentary by the Jaina monk Simhatilakasuri (13th century CE).
Mathematical Recreations from the Tournament of the Towns contains the complete list of problems and solutions to the International Mathematics Tournament of the Towns from Fall 2007 to Spring 2021.
This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it.
Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "e;undecidable.
Martin Folkes (1690-1754): Newtonian, Antiquary, Connoisseur is a cultural and intellectual biography of the only President of both the Royal Society and the Society of Antiquaries.
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject.