Although he was not always mentioned by name as an inspiration, due to his controversy, he is also thought to have been an influence for other major philosophers, such as Montaigne, Descartes, Hobbes, Locke and Montesquieu.

Under the influence of Bacon and Descartes, Thomas Hobbes made one of the first attempts to systematically analyze ethical and political matters in a modern way.

The empiricists ' aversion to metaphysical explanations ( like Descartes ' vortex theory ) lends heavy influence against the idea of the importance of causality.

The influence of Comenius on educational thought is comparable with that of his contemporaries, Bacon and Descartes, on science and philosophy.

His chief works are a monograph on Aenesidemus the Sceptic ( 1840 ); Le Scepticisme: Ænésidème, Pascal, Kant ( 1845 ); a translation of Spinoza ( 1843 ); Précurseurs et disciples de Descartes ( 1862 ); Discours de la philosophie de Leibniz ( 1857 )-- a work which had great influence on the progress of thought in France ; Essai de philosophie religieuse ( 1859 ); Critique et histoire de la philosophie ( 1865 ).

The most important influence, however, was the first precept, which states, in Descartes words ," never to accept anything for true which I did not clearly know to be such ".

Under the influence of Weigel, he started to read Hugo Grotius, Thomas Hobbes and René Descartes.

At the time, Descartes was convinced the mind had control over the behaviors of the body ( controlling the man ) – but also that the body could have influence over the mind, which is referred to as dualism.

Current research has not shown the extent of the direct influence of the works of Vieta on Descartes.

Descartes, who was most famous for the assertion " I think therefore I am ," has had a lot of influence on the mind-body problem.

Dennett claims that conventional explanations of the colour change boil down to either Orwellian or Stalinesque hypotheses, which he says are the result of Descartes ' continued influence on our vision of the mind.

After his death in Portugal ( in either Lisbon or Coimbra ) his reputation grew still greater, and he had a direct influence on such leading philosophers as Hugo Grotius, René Descartes, John Norris, and Gottfried Leibniz.

Astell is remembered for her ability to debate freely with both contemporary men and women, and particularly for her groundbreaking methods of negotiating the position of women in society by engaging in philosophical debate ( Descartes was a particular influence ) rather than basing her arguments in historical evidence as had previously been attempted.

After finishing his military service, during which he began to read René Descartes, he studied for his licence ( bachelor's degree ), focusing on the influence of scholasticism on Cartesian thought.

It shows the influence of Plato, Descartes, Malebranche and Leibniz.

His 1960 work The History of Scepticism from Erasmus to Descartes introduced previously unrecognised influence on Western thought in the seventeenth century, the Pyrrhonian Scepticism of Sextus Empiricus.

Their influence is immense ... a frame of reference – as opposed to ' Descartes ' error ... the Cartesian idea of a disembodied mind ".

At this period, he also revived the Catholic faith among many indifferent parishioners, who were made indifferent by the surviving influence of Descartes, and the proximity of the Protestant cantons of Switzerland.

Another major influence is René Descartes whose concern with the creative powers of the mind leads him to regard human language as an instrument of thought.

Common to all the poets was the desire to oppose the poetry of the Marinists, and return to classic poetry, embracing also the recent rationalist influence of Descartes.

Similarly, the influences of philosophers such as Sir Francis Bacon ( 1561 – 1626 ) and René Descartes ( 1596 – 1650 ), who demanded more rigor in mathematics and in removing bias from scientific observations, led to a scientific revolution.

As a consequence of this demonstration, Descartes considers science and mathematics to be justified to the extent that their proposals are established on a similarly immediate clarity, distinctiveness, and self-evidence that presents itself to the mind.

The originality of Descartes ' thinking, therefore, is not so much in expressing the cogito — a feat accomplished by other predecessors, as we shall see — but on using the cogito as demonstrating the most fundamental epistemological principle, that science and mathematics are justified by relying on clarity, distinctiveness, and self-evidence.

The invention of Cartesian coordinates in the 17th century by René Descartes ( Latinized name: Cartesius ) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra.

Leibniz, Spinoza and Descartes were all well versed in mathematics as well as philosophy, and Descartes and Leibniz contributed greatly to science as well.

In 1618, Descartes was engaged in the army of Maurice of Nassau in the Dutch Republic, but as a truce had been established between Holland and Spain, Descartes used his spare time to study mathematics.

Descartes continued to publish works concerning both mathematics and philosophy for the rest of his life.

Although Descartes did not pursue the subject, he preceded Leibniz in envisioning a more general science of algebra or " universal mathematics ," as a precursor to symbolic logic, that could encompass logical principles and methods symbolically, and mechanize general reasoning.

Descartes ' work provided the basis for the calculus developed by Newton and Leibniz, who applied infinitesimal calculus to the tangent line problem, thus permitting the evolution of that branch of modern mathematics.

For Descartes, Spinoza and Leibniz, this was associated with mathematics.

Descartes thought that only knowledge of eternal truths including the truths of mathematics, and the epistemological and metaphysical foundations of the sciences could be attained by reason alone ; other knowledge, the knowledge of physics, required experience of the world, aided by the scientific method.

There, with other kindred spirits such as René Descartes, Étienne Pascal, Gilles de Roberval and Nicolas-Claude Fabri de Peiresc, he studied mathematics and music.

Bacon emphasized the importance analyzing experience in an organized way, for example experimentation, while Descartes, seeing the success of Galileo in using mathematics in physics, emphasized the role of methodical reasoning as in mathematics and geometry.

The progression through the First Meditation, leading to the introduction of the concept of the evil genius at the end, is to introduce various categories into the set of dubitables, such as mathematics ( i. e. Descartes ' addition of 2 and 3 and counting the sides of a square ).

Although the hypothetical evil genius is never stated to be one and the same as the hypothetical " deus deceptor ," ( God the deceiver ) the inference by the reader that they are is a natural one, and the requirement that the deceiver is capable of introducing deception even into mathematics is seen by commentators as a necessary part of Descartes ' argument.

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.

" The voluntarist emphasis on God's absolute power was carried further by Descartes, who notoriously held that God had freely created the eternal truths of logic and mathematics, and that God was therefore capable of giving circles unequal radii, giving triangles other than 180 internal degrees, and even making contradictions true.

The progression through the First Meditation, leading to the introduction of the concept of the evil genius at the end, is to introduce various categories into the set of dubitables, such as mathematics ( i. e. Descartes ' addition of 2 and 3 and counting the sides of a square ).

Although the hypothetical evil genius is never stated to be one and the same as the hypothetical " deus deceptor ," ( God the deceiver ) the inference by the reader that they are is a natural one, and the requirement that the deceiver is capable of introducing deception even into mathematics is seen by commentators as a necessary part of Descartes ' argument.

The omission of mathematics implies either that the evil demon is not omnipotent or that Descartes retracted Universal Doubt.

Janowski notes that in The Principles of Philosophy ( I, 15 ) Descartes states that Universal Doubt applies even to " the demonstration of mathematics ", and so concludes that either Descartes ' Meditation is flawed, lacking a reason for doubting mathematics, or that the charges of blasphemy were well placed, and Descartes was supposing an omnipotent evil demon.