Do you use set theory in Physics?

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SUMMARY

Set theory is not directly utilized in undergraduate physics classes, which prioritize problem-solving over formal proof-writing. While advanced mathematical physics may incorporate set theory, it is generally not a focus in early academic studies. Physicists often rely on non-rigorous proofs that yield correct answers, contrasting with the rigorous approach favored in mathematics. For those interested in set theory and proof-writing, enrolling in mathematics courses is recommended.

PREREQUISITES
  • Understanding of basic set theory concepts
  • Familiarity with proof-writing techniques
  • Knowledge of undergraduate physics curriculum
  • Awareness of mathematical rigor versus non-rigor in proofs
NEXT STEPS
  • Explore advanced mathematical physics topics that utilize set theory
  • Research proof-writing methodologies in mathematics
  • Investigate the differences between rigorous and non-rigorous proofs
  • Enroll in mathematics courses that cover set theory applications
USEFUL FOR

Students considering a physics degree, mathematicians interested in the application of set theory in physics, and educators looking to bridge the gap between mathematics and physics curricula.

marmoset
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I started reading a book on writing proofs (it is all about set theory), and I really enjoy it. If I do physics at uni, will I get to use things like set theory and to write proofs? And if so what specific applications does set theory have in physics?
 
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Physics classes emphasize problem-solving over proof-writing. Set theory is not used directly except in advanced mathematical physics, which you're not likely to see in undergraduate classes. While rigor is preferable to non-rigor, physicists often use non-rigorous "proofs" if they give the right answer (to the perpetual consternation of mathematicians :). If you want to see set theory and proof-writing, take math classes.
 

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