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5 - On Mathematical Logic

from Intermezzo

Published online by Cambridge University Press:  12 April 2023

Dragan Radulović
Affiliation:
Florida Atlantic University
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Summary

The previous chapter raised the issue of consistency, which has its own place within the world of mathematics, in particular mathematical logic. The next four chapters talk about the ways mathematicians struggled with issues very similar to the ones computer game developers do: Are their games (theories) consistent or maybe there is an inherent contradiction (bug) lurking behind the scene? We tackle the problems of The Fifth Axiom, The Axiom of Choice, Measure Theory, and Russell’s Paradox. As before, these chapters can be read independently, but put together, they offer a plausible answer to our mystery introduced in the first two chapters.

Type
Chapter
Information
Why Does Math Work … If It's Not Real?
Episodes in Unreasonable Effectiveness
, pp. 61 - 75
Publisher: Cambridge University Press
Print publication year: 2023

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  • On Mathematical Logic
  • Dragan Radulović, Florida Atlantic University
  • Book: Why Does Math Work … If It's Not Real?
  • Online publication: 12 April 2023
  • Chapter DOI: https://doi.org/10.1017/9781009051774.008
Available formats
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • On Mathematical Logic
  • Dragan Radulović, Florida Atlantic University
  • Book: Why Does Math Work … If It's Not Real?
  • Online publication: 12 April 2023
  • Chapter DOI: https://doi.org/10.1017/9781009051774.008
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • On Mathematical Logic
  • Dragan Radulović, Florida Atlantic University
  • Book: Why Does Math Work … If It's Not Real?
  • Online publication: 12 April 2023
  • Chapter DOI: https://doi.org/10.1017/9781009051774.008
Available formats
×