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Principia philosophiae cartesianae (PPC; "The Principles of Cartesian Philosophy") or Renati Descartes principia philosophiae, more geometrico demonstrata ("The Principles of René Descartes' Philosophy, Demonstrated in Geometrical Order") is a philosophical work of Baruch Spinoza published in Amsterdam in 1663.
It was the 17th-century arch-rationalists like Descartes, Spinoza, and Leibniz who have given the "Age of Reason" its name and place in history. Leibniz, Spinoza, [20] and Descartes were all well-versed in mathematics as well as philosophy, with Descartes and Leibniz additionally contributing to a variety of scientific disciplines. [21]
Gottfried Wilhelm Leibniz (or Leibnitz; [a] 1 July 1646 [O.S. 21 June] – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to many other branches of mathematics, such as binary arithmetic and statistics.
The Rationalists is a 1988 book by the philosopher John Cottingham, in which the author offers an overview of the most important exponents of rationalism, namely René Descartes, Baruch Spinoza and Gottfried Wilhelm Leibniz. Other thinkers, such as Nicolas Malebranche, are also dealt with.
Descartes describes philosophy as like a tree, whose roots are metaphysics, its trunk physics, and the branches are the rest of the sciences, mainly medicine, mechanics, and morals that is the last level of wisdom. In the same way that trees have fruits in their outer parts, the usefulness of philosophy is also contained in the areas that stem ...
Rationalism has a philosophical history dating from antiquity.The analytical nature of much of philosophical enquiry, the awareness of apparently a priori domains of knowledge such as mathematics, combined with the emphasis of obtaining knowledge through the use of rational faculties (commonly rejecting, for example, direct revelation) have made rationalist themes very prevalent in the history ...
In the Netherlands, where Descartes had lived for a long time, Cartesianism was a doctrine popular mainly among university professors and lecturers.In Germany the influence of this doctrine was not relevant and followers of Cartesianism in the German-speaking border regions between these countries (e.g., the iatromathematician Yvo Gaukes from East Frisia) frequently chose to publish their ...
In addition, Malebranche wrote on the laws of motion, a topic he discussed extensively with Leibniz. He also wrote on mathematics and, although he made no major mathematical discoveries of his own, he was instrumental in introducing and disseminating the contributions of Descartes and Leibniz in France.