This article gives the cardinal number of the set of all binary numbers by counting its elements, analyses the consequences of the found value and discusses Cantor’s diagonal argument, power set and the continuum hypothesis.
\n1.\tCounting the fractional binary numbers
\n2.\tFractional binary numbers on the real line
\n3.\tCountability of BF
\n4.\tSet of all binary numbers, B
\n5.\tOn Cantor’s diagonal argument
\n6.\tOn Cantor’s theorem
\n7.\tOn infinite digital expansion of irrational number
\n8.\tOn the continuum hypothesis\t<\/p>\n
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\nCardinality of the set of binary-expressed real numbers
\nPDF http:\/\/pengkuanonmaths.blogspot.com\/2015\/12\/cardinality-of-set-of-binary-expressed.html<\/a>
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\nWord https:\/\/www.academia.edu\/19403597\/Cardinality_of_the_set_of_binary-expressed_real_numbers<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"