Set Theory Fundamentals Quiz

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Questions and Answers

Who is commonly considered the founder of set theory?

  • Zermelo
  • Richard Dedekind
  • Burali-Forti
  • Georg Cantor (correct)

Which paradox led to the proposal of various axiomatic systems in the early twentieth century?

  • Russell's paradox (correct)
  • Dedekind's paradox
  • Cantor's paradox
  • Zermelo's paradox

What is the best-known and most studied axiomatic system of set theory?

  • Dedekind's set theory
  • Zermelo–Fraenkel set theory with the axiom of choice (correct)
  • Cantor's set theory
  • Naive set theory

In what branch of mathematics is set theory mostly concerned with?

<p>Mathematics as a whole (B)</p> Signup and view all the answers

What role does set theory commonly play in the whole of mathematics?

<p>Foundational system (B)</p> Signup and view all the answers

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