René Descartes

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That he existed.

Descartes believed that personal faith was a matter of individual conviction and was not something that could be proven through reason or logic. He distinguished between matters of faith and matters of reason, stating that faith was based on belief and trust rather than evidence. Ultimately, Descartes emphasized the importance of personal faith in matters that surpassed the limits of human understanding.

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Yes, René Descartes is credited with the development of Cartesian coordinates, which provide a way to specify points in a plane using pairs of numerical coordinates (x, y). This system, introduced in his work "La Géométrie" in 1637, laid the foundation for analytic geometry by linking algebra and geometry. Descartes' approach allowed for the representation of geometric shapes using algebraic equations, revolutionizing mathematics.

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He didn't invent mathematics.

He developed the concepts which were set out by Archimedes.

René Descartes studied at four different schools, here is a list of his attended universities.

Collège Royal Henry-Le-Grand (1607–1614)

University of Poitiers (LL.B., 1616)

University of Faraz

Leiden University

René Descartes made significant contributions to modern science through his development of analytical geometry, which bridges algebra and geometry, allowing for the mathematical representation of geometric shapes. He emphasized the importance of skepticism and systematic doubt in the scientific method, famously stating, "Cogito, ergo sum" ("I think, therefore I am"), which laid the foundation for modern philosophy. Descartes also contributed to the understanding of optics and the laws of motion, influencing later scientists like Newton. His emphasis on reason and rationalism helped shape the Enlightenment and the scientific revolution.

Descartes' work has had a huge impact on the world. His mathematical theories have advanced the study and understanding of geometry greatly, allowing us to solve more complex problems. Additionally, his work as a philosopher provoked important questions about the universe and about humanity that have influenced modern philosophical thought so much that he is sometimes referred to as the father of modern philosophy.

Probably coordinate geometry (the Cartesian plane and its equivalents in higher dimensions) which brought the power of algebra to problems in geometry.

Descartes discovered that he could identify the exact location of every point in a plane using the coordinate system In fact, the coordinate system could be extended to the normal 3-dimensional space as well as more exotic, multi-dimensional spaces.

Furthermore, he could use algebraic expressions to describe shapes such as lines, circles and other conic sections, as well as more complicated shapes. This meant that the analytical tools and power of algebra could then be used to solve problems in geometry. Conversely, the properties of geometrical shapes could be used to solve algebraic problems.

Descartes is best remembered for what is known as the Cartesian Coordinate System, which is the familiar graph having an x axis and a perpendicular y axis.

René Descartes was a 17th-century French philosopher, mathematician, and scientist known for his dualism theory of mind and body. He famously said, "I think, therefore I am," emphasizing the importance of doubt and critical thinking in the pursuit of knowledge. Descartes' work laid the foundation for modern philosophy and the scientific method.