Research useful websites and present a report on infinite sets and their cardinalities. Explain why the sets of whole numbers, integers, and rational numbers each have cardinal number ℵ 0 Be sure to define these sets and show the one-to-one correspondences between each set and the set of natural numbers. Then explain why the set of real numbers does not have cardinal number ℵ 0 by describing how a real number can always be left out in a pairing with the natural numbers. Spice up the more technical aspects of your report with ideas you discovered about infinity that you find particularly intriguing.
Research useful websites and present a report on infinite sets and their cardinalities. Explain why the sets of whole numbers, integers, and rational numbers each have cardinal number ℵ 0 Be sure to define these sets and show the one-to-one correspondences between each set and the set of natural numbers. Then explain why the set of real numbers does not have cardinal number ℵ 0 by describing how a real number can always be left out in a pairing with the natural numbers. Spice up the more technical aspects of your report with ideas you discovered about infinity that you find particularly intriguing.
Solution Summary: The author explains cardinalities of finite sets, an infinite set, set of whole numbers, rational numbers and integers.
Research useful websites and present a report on infinite sets and their cardinalities. Explain why the sets of whole numbers, integers, and rational numbers each have cardinal number
ℵ
0
Be sure to define these sets and show the one-to-one correspondences between each set and the set of natural numbers. Then explain why the set of real numbers does not have cardinal number
ℵ
0
by describing how a real number can always be left out in a pairing with the natural numbers. Spice up the more technical aspects of your report with ideas you discovered about infinity that you find particularly intriguing.
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MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY