Tag: Cardinality
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Which Set Contains More Real Numbers: (-1, 1) or (1, 1,000,000)?
Comparing the Cardinality of Real Numbers in Different Intervals The sets (−1,1) and (1,1,000,000)contain the same number of real numbers, as both are continuous intervals and have the same cardinality, which is the cardinality of the continuum (c). Detailed Explanation Proof via Mapping We can construct a bijection (one-to-one and onto function) between these two… Read more…