Early Modern Mathematical Principles and Symmetry Arguments

  title={Early Modern Mathematical Principles and Symmetry Arguments},
  author={James Franklin},
Mathematics is the home ground of principles. Since Euclid, mathematics has been the model of a body of knowledge organized as a deductive structure based on self-evident axioms. The prestige of that model was highest in early modern times, lying after the vast extension of the realm of mathematics in the Scientific Revolution but before the discovery of non-Euclidean geometries and the foundational crises of the late nineteenth century. When the Jesuit missionaries chose Euclid as the first… 
3 Citations

Figures from this paper

‘Let No-One Ignorant of Geometry…’: Mathematical Parallels for Understanding the Objectivity of Ethics
It may be a myth that Plato wrote over the entrance to the Academy “Let no-one ignorant of geometry enter here.” But it is a well-chosen motto for his view in the Republic that mathematical training
Principles in Early Modern Philosophy and Science
  • Peter R. Anstey
  • Philosophy
    Encyclopedia of Early Modern Philosophy and the Sciences
  • 2020
Principles in Early Modern Philosophy and Science
  • Peter R. Anstey
  • Philosophy
    Encyclopedia of Early Modern Philosophy and the Sciences
  • 2020


A historical reconstruction of mechanics as a mathematical physical science
According to the widespread opinion of historians, modern mechanics is the result of a revolutionary phenomenon that occurred during the Renaissance, during the so-called scientific revolution,
The mathematical form of measurement and the argument for Proposition I in Newton’s Principia
Newton characterizes the reasoning of Principia Mathematica as geometrical, and it is argued that Newton proceeds in this way so that his reasoning can have the ostensive certainty of geometry.
Achievements and Fallacies in Hume's Account of Infinite Divisibility
Throughout history, almost all mathematicians, physicists, and philosophers have been of the opinion that space and time are infinitely divisible. That is, it is usually believed that space and time
Christian Theology and the Newtonian Science: The Rise of the Concept of the Laws of Nature
R. G. Collingwood has suggested that the basic contrast between the Greek view of nature and what he calls the Renaissance view, springs from the difference between their respective analogical
Diagrammatic Reasoning and Modelling in the Imagination: The Secret Weapons of the Scientific Revolution
Tartaglia’s Italian Euclid of 1543 is geometry in the narrow sense. But the big two books of 1543, Copernicus’ De revolutionibus and Vesalius’ De humani corporis fabrica are also geometry, if a
Mersenne and Mixed Mathematics
One of the most fascinating intellectual agures of the seventeenth century, Marin Mersenne (1588–1648) is well known for his relationships with many outstanding contemporary scholars as well as for
Huygens’ Traité de la lumière and Newton’s opticks: pursuing and eschewing hypotheses
  • A. Shapiro
  • Education
    Notes and Records of the Royal Society of London
  • 1989
Writing in December 1688 to his brother Constantyn, who had only recently arrived in England with the court of William III, Christiaan Huygens expressed a wish to be in England, ‘ only to make the
Mathematics and Empire, Navigation and Exploration
In the early modern period mathematics played a prominent role in promoting English expansion. Mathematicians invented navigational instruments, prepared astronomical tables, drew up maps, and
Renaissance notions of number and magnitude