
#19
May412, 05:23 PM

P: 95

I am using nondeterminism as my definition of randomness. A function is involved in the construction defined in the OP. We are generating a random number, then we are adding one to it. Remember that this is not a real situation that we are describing, it's a vague idea that we are trying to make precise. I am thinking in terms of a process generating a random number, composed with the function defined by f(x)=x+1, because to me this concept is clear, and it appears to capture the essence of the situation in the OP.




#20
May412, 05:25 PM

Mentor
P: 4,499

MadViolinist, imagine instead the following procedure
1) Generate a random number 2) Add one to this number 3) Subtract one from this number Is the final output a randomly generated number? 



#21
May412, 05:34 PM

P: 18

Hey dcpo and OfficeShredder:
Perhaps I am just paranoid about not using functions in this context. I cannot think of a way to avoid using a function and yet still maintaining the randomness of an element of a domain assumed to be random when introducing the bit about adding a 1. On a side note: How are we getting the random number in the first place? If there is a way to get that number without using any composition, then it would be easier for me. Unless, what if there is a random number X in some space which we just suppose to be 1 from some other number we never touched upon. Then, we still record the random number X as X, without ever having to deal with the adding or subtracting of one? I suppose that would relate to the bit Office Shredder mentioned about some random number+11 (=random number). Thanks for sticking around. 



#22
May412, 05:55 PM

P: 95





#23
May412, 06:37 PM

P: 18

I guess that solves it. Thanks all.



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