Nam Nguyen 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"?
None, so far as I know. Look, 2 + 2 = 4 is a fact but I know of no textbook which defines '+' as that function which adds 2 to itself and gives the result 4.
-- When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him. Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting
