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the claim
There has been a Cartesian revolution in mathematics
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
3 sources for · 0 against

Scholarly sources and historical accounts confirm that René Descartes's contributions to analytic geometry and coordinate systems constituted a fundamental 'Cartesian revolution' that reshaped mathematics.

Evidence for · 3
Wikipedia: René Descartes
cited by 0
Reference article covering this claim directly
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How claims like this are judged

Judged against reference works: claims of this kind are settled by the historical reference record, not journal abstracts.

More for · 2
Oxford University Press: Revolutions in mathematics
1992 · cited by 0
Directly mentions a 'Cartesian revolution' in mathematics.
OpenAIRE: ZERO AND INFINITY - ALEXIS KARPOUZOS
2026 · cited by 0
States that the geometricization of Being reached its apotheosis in the Cartesian revolution.
Everything we examined (31) — 18 independent sources
This check searched the claim as stated. It did not run a separate search for evidence against it.
  1. Wikipedia: René Descartesreferencesame source L1supports
  2. Wikipedia: Mathematicsreferencesame source L1no side takennot shown: read and judged not to bear on this claim
  3. Book: Mathematics and Its Applications to Science and Natural Philosophy in the Middle Agesreferenceno side takennot shown: read and judged not to bear on this claim
  4. Book: Contemporary Mathematical Thinkingreferencesupportsnot shown: a book whose author and subject did not establish authority here
  5. Book: Revolution in Sciencereferencesame source L4supportsnot shown: a book whose author and subject did not establish authority here
  6. Book: Science-Based Innovationreferencesupportsnot shown: a book whose author and subject did not establish authority here
  7. Book: Fregereferencesame source L4no side takennot shown: read and judged not to bear on this claim
  8. Book: The Universal Framereferenceno side takennot shown: read and judged not to bear on this claim
  9. Book: The Mathematical Revolution Inspired by Computingreferencesame source L7no side takennot shown: read and judged not to bear on this claim
  10. Belknap Press of Harvard University Press: Revolution in sciencereferencesame source L8no side takennot shown: read and judged not to bear on this claim
  11. Belknap Press of Harvard University Press: Revolution in sciencereferencesame source L8no side takennot shown: read and judged not to bear on this claim
  12. Oxford University Press: Revolutions in mathematicsreferencesame source L7supports
  13. New York, Columbia University Press: The career of philosophy: from the Middle Ages to the Enlightenmentreferencesame source L9no side takennot shown: read and judged not to bear on this claim
  14. Columbia University Press: The career of philosophy / Vol. 1, From the Middle Ages to the Enlightenmentreferencesame source L10no side takennot shown: read and judged not to bear on this claim
  15. New York, Columbia University Press: The career of philosophyreferencesame source L9no side takennot shown: read and judged not to bear on this claim
  16. Columbia University Press: The career of philosophy / Vol. 1, From the Middle Ages to the Enlightenmentreferencesame source L10no side takennot shown: read and judged not to bear on this claim
  17. Columbia University Press: The career of philosophyreferencesame source L10no side takennot shown: read and judged not to bear on this claim
  18. Wikisource: 1911 Encyclopædia Britannica/Descartes, Renéreferencesame source L11no side takennot shown: read and judged not to bear on this claim
  19. Wikisource: A Short History of Astronomy (1898)/Chapter 11referencesame source L11no side takennot shown: read and judged not to bear on this claim
  20. Wikisource: Catholic Encyclopedia (1913)/Nicola Spedalierireferencesame source L11no side takennot shown: read and judged not to bear on this claim
  21. OpenAIRE: Radical Constructivism and Mathematics Educationpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  22. OpenAIRE: Strange Fits of Parallax: Wordsworth's Geometric Excursionspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  23. OpenAIRE: Cartesian Mechanicspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  24. OpenAIRE: How do planets find their way? Laws of nature and the transformations of knowledge in the Scientific Revolutionpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  25. OpenAIRE: Negatives as fictions in \(\mathrm{16^{th}}\) and \(\mathrm{17^{th}}\) century mathematicspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  26. OpenAIRE: ZERO AND INFINITY - ALEXIS KARPOUZOSpeer-reviewedsupports
  27. daily press (newport news, va.) 1896-current: daily press (newport news, va.) 1896-currentreferencesame source L18no side takennot shown: read and judged not to bear on this claim
  28. the intermountain catholic (salt lake city [utah] ; denver [colo.]) 1899-1920: the intermountain catholic (salt lake city [utah] ; denver [colo.]) 1899-1920referencesame source L18no side takennot shown: read and judged not to bear on this claim
  29. springfield weekly republican (springfield, mass.) 1851-1946: springfield weekly republican (springfield, mass.) 1851-1946referencesame source L18no side takennot shown: read and judged not to bear on this claim
  30. springfield weekly republican (springfield, mass.) 1851-1946: springfield weekly republican (springfield, mass.) 1851-1946referencesame source L18no side takennot shown: read and judged not to bear on this claim
  31. the charlotte democrat (charlotte, n.c.) 1887-1897: the charlotte democrat (charlotte, n.c.) 1887-1897referencesame source L18no side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked06 Aug 2026
judged → SUPPORTED · 7506 Aug 2026
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