## What is René Descartes best known for?

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What is René Descartes known for? René Descartes is most commonly known for his philosophical statement, “I think, therefore I am” (originally in French, but best known by its Latin translation: “Cogito, ergo sum”).

## What did René Descartes discover?

René Descartes was a mathematician, philosopher, and scientist. He developed rules for deductive reasoning, a system for using letters as mathematical variables, and discovered how to plot points on a plane called the Cartesian plane.

**What did René Descartes do for 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 are the two major ideas according to René Descartes?

Scholars agree that Descartes recognizes at least three innate ideas: the idea of God, the idea of (finite) mind, and the idea of (indefinite) body.

### Who disagreed with René Descartes?

My research has mainly been on David Hume, an 18th-century Scottish empiricist, who disagrees with much of what Descartes has to say about reason, the self, knowledge, belief in God and the passions.

**What did Bernhard Bolzano contribution to mathematics?**

Bernhard Bolzano, (born Oct. 5, 1781, Prague, Bohemia, Austrian Habsburg domain [now in Czech Republic]—died Dec. 18, 1848, Prague), Bohemian mathematician and theologian who provided a more detailed proof for the binomial theorem in 1816 and suggested the means of distinguishing between finite and infinite classes.

## Who was Giuseppe Bolzano?

For the most part, his work came to prominence posthumously. Bolzano was the son of two pious Catholics. His father, Bernard Pompeius Bolzano, was an Italian who had moved to Prague, where he married Maria Cecilia Maurer who came from Prague’s German-speaking family Maurer.

## What nationality was Bernard Bolzano?

Bolzano’s Life and Scientific Career Bernard Bolzano was born on 5 October 1781 in Prague. His father came from Lombardy (hence the Italian surname), though he lived already from childhood in Bohemia; by profession he was a merchant. Bolzano’s mother came from the German speaking family Maurer in Prague.

**Is Bolzano a viable alternative to Kant’s philosophy of mathematics?**

Stressing the fundamental role of demonstrations in scientific knowledge, Bolzano presented a viable alternative to Kant’s philosophy of mathematics based on constructions in pure intuition.