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{{cquote|Neither can there be a separated infinite number: for number, or what has number, is countable, and so, if it is possible
 
{{cquote|Neither can there be a separated infinite number: for number, or what has number, is countable, and so, if it is possible
 
to count what is countable, it would be possible to traverse the infinite.|||[[Aristotle]]}}
 
to count what is countable, it would be possible to traverse the infinite.|||[[Aristotle]]}}
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Aristotle posits an argument that shows an infinite regress to result in a contradiction. Formed using predicate logic, the [[proof]] reads like this:
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Aristotle posits an argument that shows an infinite regress to result in a contradiction. Formed using predicate logic, the [[proof]] reads like this:<ref>Nawar, Tamer. “Aristotelian Finitism,” Synthese 192, no. 8 (July 2015): 2345-2346.</ref>
    
#Nx⊃Cx
 
#Nx⊃Cx
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