Re:The Inconsistency of Arithmetic (2011)
by jmholla on Monday August 16, 2021 @11:10PM
(#28205762)
I think you may have a typo. Should 4 be Sn+Sm=S(n+m)?
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Re:The Inconsistency of Arithmetic (2011)
by Sniffnoy on Monday August 16, 2021 @11:30PM
(#28205895)
No. Sn+Sm would be n+m+2, while S(n+m) is n+m+1.
When I read about Peano axioms I mentally think of Sn as the function S(n) = n+1 and that helps me understand them better.
As a non mathematician sometimes I wonder if this substitution is causing me to misunderstand something else about them.
Re:The Inconsistency of Arithmetic (2011)
by dreamcompiler on Tuesday August 17, 2021 @02:10AM
(#28206709)
S is not a multiplier; it's a call of the successor function. The distributive property doesn't apply.