The Great Math War

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20th century
A01=Jason Socrates Bardi
Albert Einstein
aleph-one
aleph-zero
Alfred North Whitehead
all Cretans are liars
antinomy
arithmetic
Author_Jason Socrates Bardi
Bertrand Russell
cardinality
Category=DNBT
Category=PBB
Category=PBC
Category=PBX
continuum hypothesis
David Hilbert
diagonalization proof
eq_bestseller
eq_biography-true-stories
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
formalism
Foundational Crisis
fuzzy logic
game
Georg Cantor
Giuseppe Peano
history of math
human experience
incompleteness theorem
infinity
intellectual history
intellectual warfare
intuitionism
Kurt Godel
law of the excluded middle
laws of logic
LEJ Brouwer
liar's paradox
logic
mathematical formalism
mathematical intuitionism
mathematical Platonism
Mathematics
non-Euclidean geometry
parallel postulate
Peano axioms
philosophy
philosophy of mathematics
Platonism
Principia Mathematica
quantum mechanics
relativity
Russell's paradox
science
set theory
war
Zermelo-Fraenkel axioms
Zermelo-Fraenkel set theory

Product details

  • ISBN 9781541605008
  • Weight: 640g
  • Dimensions: 158 x 240mm
  • Publication Date: 06 Nov 2025
  • Publisher: Basic Books
  • Publication City/Country: US
  • Product Form: Hardback
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A "fascinating romp" (Johnjoe McFadden) and stirring account of the mathematicians who went looking for the bedrock philosophical foundations of their field and witnessed a house of cards collapse instead

As the nineteenth century ended, mathematicians were celebrating a century of triumphs that-surprisingly-made clear how little they knew: What is the nature of infinity? Is math free from self-contradiction? And what does math have to do with reality? This was the Foundational Crisis in mathematics.

In The Great Math War, Jason Socrates Bardi tells the story of three competing efforts by mathematicians to resolve it-and the firefight that ensued. Bertrand Russell thought we could achieve certainty if we treated math as an extension of logic. David Hilbert believed redemption lay in accepting mathematics as a formal game of arbitrary rules, no different from the moves and pieces in chess. And L. E. J. Brouwer argued math is entirely rooted in human intuition-and that math is not based on logic but rather logic is based on math. It was a bitter struggle, intellectually and personally, as the three vied to set the course for mathematics in the twentieth century.

Set against the backdrop of international warfare unfolding alongside it, The Great Math War brings the Foundational Crisis to radiant life-and shows how it indelibly shaped twentieth-century intellectual life.

Jason Socrates Bardi is an award-winning journalist in DC who has written two books about the history of math: The Calculus Wars and The Fifth Postulate. He has published hundreds of articles about modern science and medicine in outlets including the San Francisco Chronicle, Good Morning America, US News & World Report, and The Lancet. He lives in Bethesda, Maryland.

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