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The Development of Newtonian Calculus in Britain, 1700-1800
This book examines how calculus developed in Britain during the century following Newton.
Isaac Newton and Natural Philosophy
Isaac Newton is one of the greatest scientists in history, yet the spectrum of his interests was much broader than that of most contemporary scientists. In fact, Newton would have defined himself not as a scientist, but as a natural philosopher. He was deeply involved in alchemical, religious, and biblical studies, and in the later part of his life he played a prominent role in British politics, economics, and the promotion of scientific research. Newton’s pivotal work Philosophiæ Naturalis Principia Mathematica, which sets out his laws of universal gravitation and motion, is regarded as one of the most important works in the history of science. Niccolò Guicciardini’s enlightening biog...
Isaac Newton on Mathematical Certainty and Method
An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably...
Anachronisms in the History of Mathematics
Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.
Reading the Principia
Isaac Newton's Principia is considered one of the masterpieces in the history of science. The mathematical methods that Newton employed in the work stimulated much debate among his contemporaries, especially Leibniz, Huygens, Bernoulli and Euler. Among the questions they asked were: How should natural philosophy be mathematized? Is it legitimate to use uninterpreted symbols? Is it possible to depart from the established Archimedean or Galilean/Huygenian tradition of geometrizing nature? What is the value of elegance and conciseness? What is the relation between Newton's geometrical methods and the calculus? Coverage explains how Newton addressed these issues and takes into consideration the values that directed the research of his era. This book will be of interest to researchers and advanced students in the history of science, the philosophy of science, physics, mathematics and astronomy.
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Civil Religion
Civil Religion offers philosophical commentaries on more than twenty thinkers stretching from the sixteenth to the twentieth century. It examines four important traditions within the history of modern political philosophy. The civil religion tradition, principally defined by Machiavelli, Hobbes and Rousseau, seeks to domesticate religion by putting it solidly in the service of politics. The liberal tradition pursues an alternative strategy of domestication by seeking to put as much distance as possible between religion and politics. Modern theocracy is a militant reaction against liberalism, reversing the relationship of subordination asserted by civil religion. Finally, a fourth tradition is defined by Nietzsche and Heidegger. Aspects of their thought are not just modern, but hyper-modern, yet they manifest an often-hysterical reaction against liberalism that is fundamentally shared with the theocratic tradition. Together, these four traditions compose a vital dialogue that carries us to the heart of political philosophy itself.
Reading the Principia
The mathematical methods employed by Newton in the Principia stimulated much debate among contemporaries. This book explains how Newton addressed these issues, taking into consideration the values that directed his research. It will be of interest to researchers and students in history and philosophy of science, physics, mathematics and astronomy.
Newton And The Great World System
Mathematics is, in many ways, the most generic and abstract of all systems of human thought. Once Newton found he could describe dynamics and planetary motions using purely mathematical laws and deductive processes, he understood that there was no limit to what else could be explained — given time and ingenuity every aspect of Nature would find its mathematical roots. Newton himself repeatedly stated how aspects of chemistry, biology and even human thought could be accessed by his method. He also acknowledged how immense the task would be, involving many contributors over many centuries, however once the system was in place, it could be extended indefinitely. Although not fully understood ...
Guicciardini: Dialogue on the Government of Florence
This is the first translation into English of Guicciardini's Dialogue on the Government of Florence. Written in the early 1520s by the author of the famous History of Italy, as well as a History of Florence and Political Maxims and Reflections, this dialogue presents what is arguably the most searching and comprehensive analysis of the politics of his times. Like Machiavelli, his contemporary and friend, Guicciardini rejects classical republican arguments in the name of the new political realism and acknowledges the important role of patronage and graft in contemporary politics and the illegitimacy of nearly all forms of political power. In this Dialogue he provides one of the clearest expositions of the term 'reason of state', which he was one of the first to employ and which he uses to justify the priority of state interest over private morality and religion.
