How do you know this is real?

Which of the following statements are wrong?

  • (a) Each point on the real line corresponds to a unique real number.
  • (b) There are more real numbers between any two consecutive integers than the whole set of integers.
  • (c) We can't say (b) above since we can't compare two infinities.
  • (d) Every bounded interval is a finite set.
  • (e) Some bounded intervals are finite sets.
  • (f) There are finite irrational numbers between any two given irrational numbers.

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