Ask infinity your questions and it shall answer thee
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Thommo wrote:1/2n = ?
Thommo wrote:He understood my question and I understood his answer. Both are demonstrably intelligible.
It relates to (one of) the rigorous formulations of infinity in mathematics - which is the correct discipline for the study of quantity, which is what "infinity" is - any quantity defined to be greater than any finite quantity (where a finite quantity is essentially any quantity that can be obtained by a terminating process of successive addition of the number 1 "1+1+1+1+...+1", or is bounded above by such a quantity).
In this case given an algebraic form of a sequence xn (1/2n in the given example) we can talk about it's limit as n tends to infinity (what you might informally think of as what happens when n "is" infinite), with a sequence converging to some value l (in this case 0, or "nowt" in colloquial English) if for any given margin of error ɛ there is some value of n, such that for all terms greater than that n: l-ɛ < xn < l+ɛ (i.e. that we can always get within any target margin of error by going high enough in the sequence).
cavarka9 wrote:Thommo wrote:He understood my question and I understood his answer. Both are demonstrably intelligible.
It relates to (one of) the rigorous formulations of infinity in mathematics - which is the correct discipline for the study of quantity, which is what "infinity" is - any quantity defined to be greater than any finite quantity (where a finite quantity is essentially any quantity that can be obtained by a terminating process of successive addition of the number 1 "1+1+1+1+...+1", or is bounded above by such a quantity).
In this case given an algebraic form of a sequence xn (1/2n in the given example) we can talk about it's limit as n tends to infinity (what you might informally think of as what happens when n "is" infinite), with a sequence converging to some value l (in this case 0, or "nowt" in colloquial English) if for any given margin of error ɛ there is some value of n, such that for all terms greater than that n: l-ɛ < xn < l+ɛ (i.e. that we can always get within any target margin of error by going high enough in the sequence).
i get it, but it must be said that n tends to infinity. because for n between 0 and 1, its not zero.
cavarka9 wrote:Rules are simple, one asks the question and the other answers it from point of infinity.
Thommo wrote:cavarka9 wrote:Thommo wrote:He understood my question and I understood his answer. Both are demonstrably intelligible.
It relates to (one of) the rigorous formulations of infinity in mathematics - which is the correct discipline for the study of quantity, which is what "infinity" is - any quantity defined to be greater than any finite quantity (where a finite quantity is essentially any quantity that can be obtained by a terminating process of successive addition of the number 1 "1+1+1+1+...+1", or is bounded above by such a quantity).
In this case given an algebraic form of a sequence xn (1/2n in the given example) we can talk about it's limit as n tends to infinity (what you might informally think of as what happens when n "is" infinite), with a sequence converging to some value l (in this case 0, or "nowt" in colloquial English) if for any given margin of error ɛ there is some value of n, such that for all terms greater than that n: l-ɛ < xn < l+ɛ (i.e. that we can always get within any target margin of error by going high enough in the sequence).
i get it, but it must be said that n tends to infinity. because for n between 0 and 1, its not zero.
Again - You specified that in the topic:cavarka9 wrote:Rules are simple, one asks the question and the other answers it from point of infinity.
cavarka9 wrote:well, but does infinity not understand what finite means?.
cavarka9 wrote:infinite can give birth to sentience, like us.
ok, let me clarify the rules then, questions must be asked from point of human beings and answers must be from point of infinite to the point of human beings.
Thommo wrote:cavarka9 wrote:infinite can give birth to sentience, like us.
ok, let me clarify the rules then, questions must be asked from point of human beings and answers must be from point of infinite to the point of human beings.
That sounds rather nonsensical, rather like an exercise in projection. I'll leave you to it.
cavarka9 wrote:but i thought this was arts and entertainment section.
Thommo wrote:cavarka9 wrote:but i thought this was arts and entertainment section.
It is, I'm not asking you to stop, but it has become apparent that what you find entertaining I do not, so I'm stopping.
ETA: To be more explicit, my idea of artistic and entertaining from the point of view of infinity was how my exchange with Scott went, or something like this:-
I found the need to elaborate half a dozen times only for you to tell me you already understood a touch tedious, sorry.
cavarka9 wrote:
infinite can give birth to sentience, like us.
ok, let me clarify the rules then, questions must be asked from point of human beings and answers must be from point of infinite to the point of human beings.
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