Talk:Proof: Difference between revisions
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: Put differently: the task asks for a countable set of natural numbers. This would be trivial, except that the peano postulates do not hold for a countable set. --[[User:Rdm|Rdm]] 20:19, 13 May 2012 (UTC) |
: Put differently: the task asks for a countable set of natural numbers. This would be trivial, except that the peano postulates do not hold for a countable set. --[[User:Rdm|Rdm]] 20:19, 13 May 2012 (UTC) |
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: The set of natural numbers is countably infinite. They are defined by a finite formal systems (the Peano axioms). A proof about a property holding for all natural numbers can be given in a finite form (using induction). You may indeed not be familiar with these facts, but they are most certainly not novel. —''[[User:Ruud Koot|Ruud]]'' 20:41, 13 May 2012 (UTC) |