Matematikkens filosofi

Léon Brunschvicg's contribution to philosophical thought in fin-de-siècle France receives full explication in the first English-language study on his work. Arguing that Brunschvicg is crucial to understanding the philosophical schools which took root in 20th-century France, Pietro Terzi locates Brunschvicg alongside his contemporary Henri Bergson, as well as the range of thinkers he taught and influenced, including Lévinas, Merleau-Ponty, de Beauvoir, and Sartre. Brunschvicg's deep engagement with debates concerning spiritualism and rationalism, neo-Kantian philosophy, and the role of mathematics in philosophy made him the perfect supervisor for a whole host of nascent philosophical ideas which were forming in the work of his students. Terzi outlines Brunchvicg's defence of neo-Kantian judgement, historical analysis and the inextricability of the natural and humanist sciences to any rigorous system of philosophy, with wide-ranging implications for contemporary scholarship.

This volume brings together leading scholars working on understanding and representation in philosophy of science. It features a critical conversation format between contributors that advances debates concerning scientific understanding, scientific representation, and their delicate interplay.

This book contains the complete list of problems and solutions to the International Mathematics Tournament of the Towns from Fall 2007 to Spring 2021. The primary audience for this book is the army of recreational mathematicians. It should also have great value to students preparing for mathematics competitions and trainers of such students.

This volume offers an English translation of all ten extant books of Diophantus' Arithmetica, alongside a comprehensive conceptual, historical, and mathematical commentary. Of interest to scholars of history from ancient Greece to the Renaissance, historians of mathematics, science, and technology, and mathematicians.

"Work on the techniques you need for high-level proficiency in each of the 12 math topics."--

The Gäitatilaka and its Commentary: Two Medieval Sanskrit Mathematical Texts presents the first English annotated translation and analysis of the Gäitatilaka by Sripati and its Sanskrit commentary by the Jaina monk Si¿hatilakasuri (13th century CE). Si¿hatilakasuri's commentary upon the Gäitatilaka is a key text for the study of Sanskrit mathematical jargon and a precious source of information on mathematical practices of medieval India; this is, in fact, the first known Sanskrit mathematical commentary written by a Jaina monk, about whom we have substantial information, to survive to the present day.In presenting the first annotated translation of these two Sanskrit mathematical texts, this volume focusses on language in mathematics and puts forward a novel, fresh approach to Sanskrit mathematical literature which favours linguistic, literary features and textual data. This key resource makes these important texts available in English for the first time for students of Sanskrit, ancient and medieval mathematics, South Asian history, and philology.

This book shares the life story of William Playfair, the father of statistical graphics, who experienced extreme ups and downs in his various careers, including as a statistician, economist, and fraudster.

Across the Islamic world, illuminating Korans from Morocco to Malaysia, and adorning mosques, mausoleums and palaces, are hidden some of the most exquisite geometrical devices ever conceived by man. In this excellent pocket book geometer Daud Sutton unravels the mystery of Islamic patterns, explaining where they come from, how to draw them, and hinting at the Divine messages they encode. WOODEN BOOKS US EDITIONS. Small books, BIG ideas. Tiny but packed with information. "Stunning" NEW YORK TIMES. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST.

From the author of Zero, comes this "admirable salvo against quantitative bamboozlement by the media and the government" (The Boston Globe) In Zero, Charles Seife presented readers with a thrilling account of the strangest number known to humankind. Now he shows readers how the power of skewed metrics-or "proofiness"- is being used to alter perception in both amusing and dangerous ways. Proofiness is behind such bizarre stories as a mathematical formula for the perfect butt and sprinters who can run faster than the speed of sound. But proofiness also has a dark side: bogus mathematical formulas used to undermine our democracy-subverting our justice system, fixing elections, and swaying public opinion with lies. By doing the real math, Seife elegantly and good-humoredly scrutinizes our growing obsession with metrics while exposing those who misuse them.

This volume builds on two recent developments in philosophy on the relationship between art and science: the notion of representation and the role of values in theory choice and the development of scientific theories. Its aim is to address questions regarding scientific creativity and imagination, the status of scientific performances-such as thought experiments and visual aids-and the role of aesthetic considerations in the context of discovery and justification of scientific theories.Several contributions focus on the concept of beauty as employed by practising scientists, the aesthetic factors at play in science and their role in decision making. Other essays address the question of scientific creativity and how aesthetic judgment resolves the problem of theory choice by employing aesthetic criteria and incorporating insights from both objectivism and subjectivism. The volume also features original perspectives on the role of the sublime in science and sheds light on the empirical work studying the experience of the sublime in science and its relation to the experience of understanding.The Aesthetics of Science tackles these topics from a variety of novel and thought-provoking angles. It will be of interest to researchers and advanced students in philosophy of science and aesthetics, as well as other subdisciplines such as epistemology and philosophy of mathematics.

Code 19 was hidden in the 74th chapter of the Quran and discovered by the author's colleague, Dr. Rashad Khalifa, an Egyptian-American biochemist, in 1974. The code suggests a "Copernican revolution" in theology of religions. Instead of Krishna-centered, Jesus-centered, or Muhammad-centered religions, people must turn to the original center, to the God-centered model.

In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change mathematics. The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved?one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

The ideal study guide for success in Basic Math-updated with the latest strategies and hundreds of practice questionsPractice makes perfect-and this study guide gives you all the practice you need to gain mastery in Basic Math. Whether you're a high school or college student, or a self-studying adult, the hundreds of exercises in Practice Makes Perfect: Basic Math Review and Workbook, Third Edition will help you become comfortable, and ultimately gain confidence with the material.This updated edition features the latest strategies and lesson instruction in an accessible format, with thorough review followed immediately by a variety of practice questions. Covering all the essential basic math topics, this book will give you everything you need to help with your schoolwork, exams, and everyday life!Features:Hundreds of updated practice questions, including the latest question typesUpdated lesson instruction and the latest math strategiesAn easy-to-use format, with concise lessons followed by lots of practiceCovers all of the most important Basic Math concepts and acts as an introduction to the different branches of mathTopics include arithmetic, multiplication, division, basic geometry and algebra, negative numbers, square roots, working with fractions, lessons on transformations and an expanded look at fractions and decimalsAn answer key to help check your work

Originally published in 1950, this textbook studies projective geometry and provides a solid introduction to similar studies in space of more than two dimensions.

Simply stated, this book bridges the gap between statistics and philosophy. It does this by delineating the conceptual cores of various statistical methodologies (Bayesian/frequentist statistics, model selection, machine learning, causal inference etc.) and drawing out their philosophical implications.

This book provides a critical edition and an English translation of the chapter on spheres (gol¿dhy¿ya) from Nity¿nanda's Sarvasiddh¿ntar¿ja, a Sanskrit astronomical text written in seventeenth-century Mughal India. Suitable for those studying and interested in the history of non-western astral sciences.