Classical Probability in the Enlightenment, New Edition PDF Download

Author: Lorraine Daston
Publisher: Princeton University Press
ISBN: 0691248508
Category : Mathematics
Languages : en
Pages : 456

View

Book Description
An award-winning history of the Enlightenment quest to devise a mathematical model of rationality What did it mean to be reasonable in the Age of Reason? Enlightenment mathematicians such as Blaise Pascal, Jakob Bernoulli, and Pierre Simon Laplace sought to answer this question, laboring over a theory of rational decision, action, and belief under conditions of uncertainty. Lorraine Daston brings to life their debates and philosophical arguments, charting the development and application of probability theory by some of the greatest thinkers of the age. Now with an incisive new preface, Classical Probability in the Enlightenment traces the emergence of new kind of mathematics designed to turn good sense into a reasonable calculus.

Author: Lorraine Daston
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 423

View

Book Description

Author: Lorraine Daston
Publisher: Princeton University Press
ISBN: 0691248516
Category : Science
Languages : en
Pages : 456

View

Book Description
An award-winning history of the Enlightenment quest to devise a mathematical model of rationality What did it mean to be reasonable in the Age of Reason? Enlightenment mathematicians such as Blaise Pascal, Jakob Bernoulli, and Pierre Simon Laplace sought to answer this question, laboring over a theory of rational decision, action, and belief under conditions of uncertainty. Lorraine Daston brings to life their debates and philosophical arguments, charting the development and application of probability theory by some of the greatest thinkers of the age. Now with an incisive new preface, Classical Probability in the Enlightenment traces the emergence of new kind of mathematics designed to turn good sense into a reasonable calculus.

Author: James Franklin
Publisher: JHU Press
ISBN: 1421418819
Category : Science
Languages : en
Pages : 767

View

Book Description
How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture, James Franklin examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. The Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.

Author: Charles Coulston Gillispie
Publisher: Princeton University Press
ISBN: 0691187983
Category : Science
Languages : en
Pages : 335

View

Book Description
Pierre-Simon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science, for the philosophical point of view he developed in the presentation of his work, and for the leading part he took in forming the modern discipline of mathematical physics. His two most famous treatises were the five-volume Traité de mécanique céleste (1799-1825) and Théorie analytique des probabilités (1812). In the former he demonstrated mathematically the stability of the solar system in service to the universal Newtonian law of gravity. In the latter he developed probability from a set of miscellaneous problems concerning games, averages, mortality, and insurance risks into the branch of mathematics that permitted the quantification of estimates of error and the drawing of statistical inferences, wherever data warranted, in social, medical, and juridical matters, as well as in the physical sciences. This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution. A scientific biography by Charles Gillispie comprises the major portion of the book. Robert Fox contributes an account of Laplace's attempt to form a school of young physicists who would extend the Newtonian model from astronomy to physics, and Ivor Grattan-Guinness summarizes the history of the scientist's most important single mathematical contribution, the Laplace Transform.

Author: Theodore M. Porter
Publisher: Princeton University Press
ISBN: 0691208425
Category : Mathematics
Languages : en
Pages : 360

View

Book Description
An essential work on the origins of statistics The Rise of Statistical Thinking, 1820–1900 explores the history of statistics from the field's origins in the nineteenth century through to the factors that produced the burst of modern statistical innovation in the early twentieth century. Theodore Porter shows that statistics was not developed by mathematicians and then applied to the sciences and social sciences. Rather, the field came into being through the efforts of social scientists, who saw a need for statistical tools in their examination of society. Pioneering statistical physicists and biologists James Clerk Maxwell, Ludwig Boltzmann, and Francis Galton introduced statistical models to the sciences by pointing to analogies between their disciplines and the social sciences. A new preface by the author looks at how the book has remained relevant since its initial publication, and considers the current place of statistics in scientific research.

Author: Elizabeth Fenton
Publisher: NYU Press
ISBN: 1479820482
Category : History
Languages : en
Pages : 251

View

Book Description
Were indigenous Americans descendants of the lost tribes of Israel? From the moment Europeans realized Columbus had landed in a place unknown to them in 1492, they began speculating about how the Americas and their inhabitants fit into the Bible. For many, the most compelling explanation was the Hebraic Indian theory, which proposed that indigenous Americans were the descendants of the ten lost tribes of Israel. For its proponents, the theory neatly explained why this giant land and its inhabitants were not mentioned in the Biblical record. In Old Canaan in a New World, Elizabeth Fenton shows that though the Hebraic Indian theory may seem far-fetched today, it had a great deal of currency and significant influence over a very long period of American history. Indeed, at different times the idea that indigenous Americans were descended from the lost tribes of Israel was taken up to support political and religious positions on diverse issues including Christian millennialism, national expansion, trade policies, Jewish rights, sovereignty in the Americas, and scientific exploration. Through analysis of a wide collection of writings—from religious texts to novels—Fenton sheds light on a rarely explored but important part of religious discourse in early America. As the Hebraic Indian theory evolved over the course of two centuries, it revealed how religious belief and national interest intersected in early American history.

Author:
Publisher:
ISBN: 1487536771
Category :
Languages : en
Pages : 235

View

Book Description

Author: Andrew I. Dale
Publisher: Springer Science & Business Media
ISBN: 1441986529
Category : Mathematics
Languages : en
Pages : 691

View

Book Description
This is a history of the use of Bayes theoremfrom its discovery by Thomas Bayes to the rise of the statistical competitors in the first part of the twentieth century. The book focuses particularly on the development of one of the fundamental aspects of Bayesian statistics, and in this new edition readers will find new sections on contributors to the theory. In addition, this edition includes amplified discussion of relevant work.

Author: Nicholas Rescher
Publisher: University of Pittsburgh Press
ISBN: 0822978148
Category : Science
Languages : en
Pages : 417

View

Book Description
Contemporary philosopher John Searle has characterized Gottfried Wilhelm Leibniz (1646-1716) as "the most intelligent human being who has ever lived." The German philosopher, mathematician, and logician invented calculus (independently of Sir Isaac Newton), topology, determinants, binary arithmetic, symbolic logic, rational mechanics, and much more. His metaphysics bequeathed a set of problems and approaches that have influenced the course of Western philosophy from Kant in the eighteenth century until the present day. On Leibniz examines many aspects of Leibniz's work and life. This expanded edition adds new chapters that explore Leibniz's revolutionary deciphering machine; his theoretical interest in cryptography and its ties to algebra; his thoughts on eternal recurrence theory; his rebuttal of the thesis of improvability in the world and cosmos; and an overview of American scholarship on Leibniz. Other chapters reveal Leibniz as a substantial contributor to theories of knowledge. Discussions of his epistemology and methodology, its relationship to John Maynard Keynes and Talmudic scholarship, broaden the traditional view of Leibniz. Rescher also views Leibniz's scholarly development and professional career in historical context. As a "philosopher courtier" to the Hanoverian court, Leibniz was associated with the leading intellectuals and politicians of his era, including Spinoza, Huygens, Newton, Queen Sophie Charlotte, and Tsar Peter the Great. Rescher extrapolates the fundamentals of Leibniz's ontology: the theory of possible worlds, the world's contingency, space-time frameworks, and intermonadic relationships. In conclusion, Rescher positions Leibniz as a philosophical role model for today's scholars. He argues that many current problems can be effectively addressed with principles of process philosophy inspired by Leibniz's system of monadology.