The links are very on point for my interest thanks for those. Some of it is in rather dense math but alas that is the case when the topic is math.
At one point there is a constuction where in addition to having series of real numbers to define a hyperreal (r1,r2,r3...)=h1 we define a series of hyperreals (h1,h2,h3...)=d1, in order to get a “second tier hyperreal”. So I do wonder whether the “fish gotten per day” is adeqate to distinguish between the scenarios. That is there might be a difference between “each day I get promised an infinite amout of fish” and “each day I get 1 more fish”. That is on day n I have been promised ωn fish and taking it as α∑i=1I am not sure whether α=ω and whether terms like ω2 and ωα refer to the same thing or whether mixing “first-level” and “second level” hyperreals gets you a thing different than mixing just “level 1”s
The links are very on point for my interest thanks for those. Some of it is in rather dense math but alas that is the case when the topic is math.
At one point there is a constuction where in addition to having series of real numbers to define a hyperreal (r1,r2,r3...)=h1 we define a series of hyperreals (h1,h2,h3...)=d1, in order to get a “second tier hyperreal”. So I do wonder whether the “fish gotten per day” is adeqate to distinguish between the scenarios. That is there might be a difference between “each day I get promised an infinite amout of fish” and “each day I get 1 more fish”. That is on day n I have been promised ωn fish and taking it as α∑i=1I am not sure whether α=ω and whether terms like ω2 and ωα refer to the same thing or whether mixing “first-level” and “second level” hyperreals gets you a thing different than mixing just “level 1”s