How to pronounce“assuming”in English
Since there is no smallest real number, he would just write them down in any order.
Assuming he now has a complete infinite list, Cantor writes down another real number and to do it, he takes the first digit of the first number
and adds one, then the second digit of the second number, and again, he adds one.
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Definitions of “assuming”
present participle and gerund of assume
An assumption.
“December 16, 1656, Thomas Burton, diary entry No positive inference can he drawn from Nayler's confession, as to his assuming the attributes of Christ, but rather a positive denial of these assumings.”
haughty; arrogant