How to Use set theory in a Sentence

set theory

noun
  • Cantor’s set theory flips the script in a sense.
    — Big Think, 25 Nov. 2025
  • But the resolution to Poincaré’s confusion would come not from geometry, but from a nascent branch of logic called set theory.
    — Konstantin Kakaes, Quanta Magazine, 20 May 2026
  • All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects.
    — Joseph Howlett, Quanta Magazine, 21 Nov. 2025
  • That is, one of computer science’s most important shelves is equivalent to one of set theory’s most important shelves (high up in the hierarchy).
    — Joseph Howlett, Quanta Magazine, 21 Nov. 2025
  • The formalization of calculus also led to the birth of set theory, which established the rules that underlie modern mathematics.
    — Leila Sloman, Quanta Magazine, 25 Mar. 2026
  • Ultimately, most experts now agree on a framework called the Zermelo-Fraenkel set theory with the axiom of choice, or ZFC for short.
    — Manon Bischoff, Scientific American, 26 May 2026
  • Zermelo’s list of axioms emerged at a time when many mathematicians, such as Abraham Fraenkel, were also tinkering with set theory’s foundations.
    — Quanta Magazine, 29 Apr. 2026
  • From there, the development of analysis, set theory, and other formal systems happened organically.
    — Leila Sloman, Quanta Magazine, 25 Mar. 2026
  • Cantor’s set theory also revealed that dimensionality doesn’t change the size of infinite point sets, fundamentally reshaping our understanding of space and numbers.
    — Big Think, 25 Nov. 2025
  • This approach would become essential in the creation of the foundational theory of mathematics, known as Zermelo-Fraenkel set theory, that mathematicians still use today.
    — Quanta Magazine, 29 Apr. 2026
  • In 1912, Felix Hausdorff, who had recently started teaching at the University of Bonn — where Scholze would end up generations later — set out to write the first comprehensive treatment of set theory.
    — Konstantin Kakaes, Quanta Magazine, 20 May 2026
  • In 2023, a mathematician named Anton Bernshteyn published a deep and surprising connection between the remote mathematical frontier of descriptive set theory and modern computer science.
    — Joseph Howlett, Quanta Magazine, 21 Nov. 2025

Some of these examples are programmatically compiled from various online sources to illustrate current usage of the word 'set theory.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

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