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 Proof Ackermann function extended to reals cannot be commutative/associative MphLee Fellow Posts: 177 Threads: 16 Joined: May 2013 06/15/2013, 08:02 PM I'm a bit confused You said that the only assumptions were the commutativity of two operations, but you did not use the assumption of the the commutativity of the operation $\otimes_q$ in the proof. (in fact it is not important imo): you asumptions are: 1-commutativity and associativity of the operator $\otimes_{q-1}$. 2-the existence of a unique right identity element (that is the left id. element too if it is commutative) of the operation $\otimes_q$. And these assuptions make you proof valid to show that the only operation $\otimes_{q-1}$ with these properties is the addition. MathStackExchange account:MphLee Fundamental Law $(\sigma+1)0=\sigma (\sigma+1)$ « Next Oldest | Next Newest »

 Messages In This Thread Proof Ackermann function extended to reals cannot be commutative/associative - by JmsNxn - 09/08/2011, 01:37 AM RE: Proof Ackermann function extended to reals cannot be commutative/associative - by MphLee - 06/15/2013, 08:02 PM

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