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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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::::This is a flawed appeal to causality. On a quantum level, events need not have a cause.
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::::This is a flawed appeal to causality. On a quantum level, events need not have a cause.-Barnes
    
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)
 
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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