foundations of mathematics

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Achilles paradox

Contrasting triangles in Euclidean, elliptic, and hyperbolic spaces.

For Students

foundations of mathematics summary

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bunch of numbers

Unusual Counting Systems

number zero, 0 balloon

Is Zero an Even or an Odd Number?

Aristotle (384-322 BC), Ancient Greek philosopher and scientist. One of the most influential philosophers in the history of Western thought, Aristotle established the foundations for the modern scientific method of enquiry. Statue

Philosophers to Know, Part I

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January 21, 2019: Superbowl LIII will be played at Atlanta's Mercedes-Benz Stadium on Sunday, February 3, 2019 against the New England Patriots and the Los Angeles Rams.

What Was the Super Bowl’s First Blockbuster Commercial?

Data analysis of the Super Bowl's "winningest" teams, game locations, MVP winners by position, teams with the most game losses. football, sports, infographic

From Sport to Spectacle: The History of the Super Bowl

Shah Jahan. Taj Mahal. Mughal architecture. Emperor Shah Jahan fifth Mughal Emperor (reigned 1628-1658) India, Himachal Pradesh, Basohli or Jammu and Kashmir, Mankot, circa 1690 Drawings; Opaque watercolor, gold, and ink on paper (see notes)

6 Important Mughal Emperors

Horses. Equus caballus. Horse stable. A brown horse looks out from his stall through the window.

Horsing Around: 7 of the Weirdest Racehorse Names in History

Small, white rat (genus Rattus) on a glass table. (rodent, laboratory, experiment)

Cruel and Unusual Punishments: 15 Types of Torture

bird. mourning dove. pigeon and dove. Mourning Dove (Zenaida macroura) family Columbidae.

Nikola Tesla's Weird Obsession with Pigeons

Vietnam War. U.S. President Lyndon B. Johnson awards the Distinguished Service Cross to First Lieutenant Marty A. Hammer, during a visit to military personnel, Cam Ranh Bay, South Vietnam, October 26, 1966. President Johnson

Vietnam War Timeline

foundations of mathematics: Related Content

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Photos

Achilles paradox

Contrasting triangles in Euclidean, elliptic, and hyperbolic spaces.

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Topics

incompleteness theorem Gödel’s second incompleteness theorem Gödel’s first incompleteness theorem philosophy of mathematics mathematics probability and statistics numerals and numeral systems matrix function fractal graph derivative algorithm vector set

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mathematics: Foundations of geometry

Key People

Stanisław Leśniewski

Polish logician and mathematician

David Hilbert

David Hilbert

German mathematician

Peano, Giuseppe

Giuseppe Peano

Italian mathematician

Paul Isaak Bernays

Swiss logician and mathematician

Quiz

Equations written on blackboard

Numbers and Mathematics