No. Infinity in terms of the real number you described is not the same as the ordinal infinity defined by the term 1/n, which is in fact a countable infinity - an ordinal number denoted ω of cardinality
. The space between any 2 real numbers is an uncountable infinity, the first uncountable ordinal ω1
And this is not treating infinity as a number. This is treating infinity as a two point compactification of the real line with maximal suprema and infima infinity and negative infinity.
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