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=====Modern mathematical set-theory objection===== | =====Modern mathematical set-theory objection===== | ||
In set theory, the set of all natural number is said to be an infinite set, it contains an actually infinite number of members in the set. Not all mathematicians would agree on this however, some suggest that natural number sets are potentially infinite but is a minority view. Existence in the mathematical realm does not mean existence in the real world, because philosophical assumptions need to govern this realm but there isn't good reason to suggest that these assumptions are true. Infinite set theory still leads to the same type of self-contradictions as does the math of actually infinite number of members. | In set theory, the set of all natural number is said to be an infinite set, it contains an actually infinite number of members in the set. Not all mathematicians would agree on this however, some suggest that natural number sets are potentially infinite but is a minority view. Existence in the mathematical realm does not mean existence in the real world, because philosophical assumptions need to govern this realm but there isn't good reason to suggest that these assumptions are true. Infinite set theory still leads to the same type of self-contradictions as does the math of actually infinite number of members. | ||
==References== | ==References== |