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But, you ask, what about the set of [[integer]]s, which is directed? That has neither beginning nor end. True--but the set of integers is not a sequence. Sequences, by definition, have beginnings, though they do not necessarily have ends.
 
But, you ask, what about the set of [[integer]]s, which is directed? That has neither beginning nor end. True--but the set of integers is not a sequence. Sequences, by definition, have beginnings, though they do not necessarily have ends.
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Number theory: Integers can be counted by re-ordering them (eg, 0, 1, -1, 2, -2...).  Real (ie, rational + irrational) numbers cannot be counted & are a higher level of infinity.  How would they have a beginning?[[User:Tom Stockton|Tom Stockton]] 21:46, 13 April 2007 (EDT)
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Number theory: Integers can be counted by re-ordering them (eg, 0, 1, -1, 2, -2...).  Real (ie, rational + irrational) numbers cannot be counted & are a higher level of infinity.  How would they have a beginning?[[User:Tom Stockton|Tom Stockton]] 21:46, 13 April 2007 (EDT)
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:I already said that integers are not a sequence. By definition, a sequence has a first term.--[[User:TerryH|TerryH]]<sup>[[User talk:TerryH|Talk]]</sup> 21:55, 13 April 2007 (EDT)
    
''Any process in nature must be a sequence.'' The beating of your heart is a sequence. And the descent of human beings from generation to generation is a sequence. But that, too, had to have a beginning. That beginning must have been the first couple--or, to an [[atheist]], it is simply the first species, and ultimately, the first cell.
 
''Any process in nature must be a sequence.'' The beating of your heart is a sequence. And the descent of human beings from generation to generation is a sequence. But that, too, had to have a beginning. That beginning must have been the first couple--or, to an [[atheist]], it is simply the first species, and ultimately, the first cell.
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