```Date: Feb 28, 2013 10:21 PM
Author: namducnguyen
Subject: Re: Matheology ? 222 Back to the roots

On 28/02/2013 7:51 PM, Virgil wrote:> In article <khUXs.345339\$pV4.177097@newsfe21.iad>,>   Nam Nguyen <namducnguyen@shaw.ca> wrote:>>> On 28/02/2013 8:27 AM, Frederick Williams wrote:>>> Nam Nguyen wrote:>>>>>>>> On 27/02/2013 10:12 PM, Virgil wrote:>>>>> In article <R8AXs.345282\$pV4.85998@newsfe21.iad>,>>>>>>>> The set of all functions from |N = {0,1,2,3,...} to {0,1,2,...,9} with>>>>> each f interpreted as Sum _(i in |N) f(i)/10^1, defines such a>>>>> structure..>>>>>>>> That doesn't look like a structure to me. Could you put all what>>>> you've said above into a form using the notations of a structure?>>>>>> There is a set and a collection of functions on it.  How does it fail to>>> be a structure?>>>>   From what textbook did you learn that a structure is defined as>> "a set and a collection of functions on it"?>> Then give us your textbook definition of structure and show why the> above fails to meet it.Shoenfield, Section 2.5 "Structures". One reason the above fails is,you don't define, construct, the predicate (set) for the symbol '^'.And that's just 1 reason amongst others. Do you admit it now thatthe above fails to meet the requirements of a language structure?-- ----------------------------------------------------There is no remainder in the mathematics of infinity.                                       NYOGEN SENZAKI----------------------------------------------------
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