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what is mathematics according to rene descartes

by Osvaldo Kub Sr. Published 3 years ago Updated 2 years ago
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Descartes' influence in mathematics is equally apparent; the Cartesian coordinate system was named after him. He is credited as the father of analytic geometry, the bridge between algebra and geometry—used in the discovery of infinitesimal calculus and analysis.
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René Descartes
NationalityFrench
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Full Answer

What triggers Rene Descartes to develop his own mathematics?

Writings

  • 1618. Musicae Compendium. ...
  • 1626–1628. Regulae ad directionem ingenii ( Rules for the Direction of the Mind ). ...
  • c. 1630. ...
  • 1630–1631. La recherche de la vérité par la lumière naturelle ( The Search for Truth) unfinished dialogue published in 1701.
  • 1630–1633. Le Monde ( The World) and L'Homme ( Man ). ...
  • 1637. ...
  • 1637. ...
  • 1641. ...
  • 1644. ...
  • 1647. ...

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What did Rene Descartes contribute to math?

What did Rene Descartes contribute to math? René Descartes was a French mathematician, philosopher, and scientist. He developed rules for deductive reasoning, or rational, scientific thinking; developed a system for using letters as mathematical variables; and discovered how to plot points on a plane called the Cartesian plane.

What were three contributions to mathematics Rene Descartes?

  • Five letters written to Beeckman in 1619, which Beeckman transcribed in his Journal. ...
  • The Cogitationes privatae ( Private Reflections ), which dates from ca. ...
  • The Progymnasmata de solidorum elementis, a geometry text which dates from around 1623 and which Leibniz partially copied in 1676. ...

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What are Rene Descartes' mathematical discoveries?

Mathematical Discoveries - René Descartes. In 1618 Descartes applied algebra and mathematics to many problems. He showed how mathematics could be applied to a more precise spacing and tuning of lute stings, he proposed an algebraic formula to determine the raise in water level when a heavy object was placed in water, drew a geometric graph ...

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What did Rene Descartes say about mathematics?

I cannot imagine anything that could not be solved by such lines at least, though I hope to show which questions can be solved in this or that way and not any other, so that almost nothing will remain to be found in geometry. It is, of course, an infinite task, not for one man only.

What were Descartes conclusion about mathematics?

Descartes' ground-breaking work, usually referred to as analytic geometry or Cartesian geometry, had the effect of allowing the conversion of geometry into algebra (and vice versa). Thus, a pair of simultaneous equations could now be solved either algebraically or graphically (at the intersection of two lines).

Why was mathematics so important for Descartes?

According to the present interpretation, Descartes relies upon mathematical reasoning to explicate the concept of infinity, which is essentially mathematical.

Who is the Father of mathematics?

ArchimedesArchimedes is known as the Father Of Mathematics. He lived between 287 BC – 212 BC. Syracuse, the Greek island of Sicily was his birthplace. Archimedes was serving the King Hiero II of Syracuse by solving mathematical problems and by developing interesting innovations for the king and his army.

Which of the following did Descartes throw mathematical belief into doubt?

Descartes used hyperbolic doubt and created modern scientific method with rejection of scholastic philosophy.

Works Cited

Anirudh. “Anirudh.” Learnodo Newtonic, 11 Sept. 2018, https://www.learnodo-newtonic.com/rene-descartes-contribution.

Cite this Page

Rene Descartes Contribution To Mathematics. (2021, September 27). Edubirdie. Retrieved February 26, 2022, from https://edubirdie.com/examples/rene-descartes-contribution-to-mathematics/

Biography of Rene Descartes

Rene Descartes was a French philosopher, mathematician and scientist. He is most famous for inventing the Cartesian coordinate system (named after him). He also introduced important conventions in notation: such as using x, y, z to denote unknowns and a, b, c for knowns, and index notation for exponents, x2.

Rene Descartes' Life

Rene Descartes was born on 31 March 1596 in France (in a town now named after him). He studied law at University but joined the Dutch States Army where he would have learned a lot of mathematics when studying military engineering.

Cartesian Coordinates

Cartesian coordinates are used to describe the position of a point on a graph. The image below shows a graph. A point is plotted on the graph (a blue cross) with its Cartesian coordinates written beside it: (2, 4).

Rene Descartes' Notation

Rene Descartes introduced the use of letters to stand for numbers. Consider the general form equation of a straight line:

Algebra

Descartes made algebra a fundamental part of mathematics. Before, all algebra had been derived from geometry. This meant that mathematicians were suspicious of any algebraic equation that could not be linked to simple shapes.

Analytic Geometry

Before Descartes, all geometry had been derived from Euclid 's work. Euclid's geometry defined lines, angles and circles and set to use them to find rules of geometry. But his shapes only existed relative to other shapes, and didn't exist anywhere particularly in space.

Influences

Descartes' work was a big influence on Isaac Newton. His work paved the way for Newton and Leibniz to develop differential calculus, a branch of mathematics that is very useful at describing the physical world.

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1.Descartes’ Mathematics (Stanford Encyclopedia of …

Url:https://plato.stanford.edu/entries/descartes-mathematics/

23 hours ago  · Descartes proposes a method of inquiry that is modeled after mathematics The method is made of four rules: a- Accept ideas as true and justified only if they are self-evident. an idea is self- evident if it is clear and distinct in one's mind. b- Analysis: divide complex ideas into their simpler parts.

2.Rene Descartes Contribution To Mathematics - Edubirdie

Url:https://edubirdie.com/examples/rene-descartes-contribution-to-mathematics/

19 hours ago Rene Descartes is a very big part of the mathematical world, and he made many big contributions that changed the way mathematics is looked at today. Although some people might think of Descartes as a philosopher more than a mathematician, that is not true in any sense he made many contributions both to physics and mathematics, some of the areas he affected the most …

3.epistemology - Mathematics and René Descartes

Url:https://philosophy.stackexchange.com/questions/45989/mathematics-and-ren%c3%a9-descartes

34 hours ago  · At Descartes' time, only Geometry (see Euclid's Elements) had axioms. See Descartes' Mathematics: Descartes' new (analytical) Géométrie was not axiomatized.. But Descartes clearly conceived mathematics as the paradigm of certainty; see the Rules: "In the Rules, he sought to generalize the methods of mathematics so as to provide a route to clear …

4.Rene Descartes (Key Stage 2) - Mathematics Monster

Url:https://mathematics-monster.com/glossary/Rene_Descartes.html

19 hours ago Descartes is the father of analytical geometry, which allows us to describe geometric shapes using algebra. This was one of the prerequisites, which allowed Newton and Leibnitz to invent calculus a few decades later. He is credited with the first use of superscripts for powers or exponents, and the cartesian coordinate system is named after him.

5.Descartes Dream The World According To Mathematics

Url:https://donner.medair.org/descartes_dream_the_world_according_to_mathematics.pdf

19 hours ago  · René Descartes was best known for creating a mathematical foundation for philosophy. He thought that philosophy could essentially be “mathematicized” because math was created out of certainty and absoluteness. Math was based on universal truths and philosophy could be based on truths that were already determined to be true or accepted to ...

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