1. D. Goldrei, Classic Set Theory (Chapman and Hall, 1996).
  2. H. B. Enderton, Elements of Set Theory (Academic Press, 1978).
Further Reading:
  1. R. Cori and D. Lascar, Mathematical Logic: A Course with Exercises (Part II) (Oxford University Press, 2001), section 7.1-7.5.
  2. R. Rucker, Infinity and the Mind: The Science and Philosophy of the Infinite (Princeton University Press, 1995). An accessible introduction to set theory.
  3. J. W. Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite (Princeton University Press, 1990). For some background, you may find JW Dauben's biography of Cantor interesting.
  4. M. D. Potter, Set Theory and its Philosophy: A Critical Introduction (Oxford University Press, 2004). An interestingly different way of establishing Set Theory, together with some discussion of the history and philosophy of the subject.
  5. W. Sierpinski, Cardinal and Ordinal Numbers (Polish Scientific Publishers, 1965). More about the arithmetic of transfinite numbers.
  6. J. Stillwell, Roads to Infinity (CRC Press, 2010).
Last modified: Tuesday, 14 March 2023, 7:49 PM