WenThe end of infinity?
Mathematicians who call themselves ultrafinitists think that extremely large numbers are holding back science, from logic to cosmology, and they have a radical plan to do something about it
Some may differ…
ƧƿѦςɛ♏ѦਹѤʞ@danish_akhtar7 I hope it made sense!
The confusion normally arises because we can always divide a finite number by another one and get a third one as a result, which we can in turn multiply back to return to where we started. But, multiplying by zero always yields zero which effectively loses information and there's no magic quantity ("infinity" or whatever) you can multiply zero by to recover the original number.
#maths #limits #infinity
The confusion normally arises because we can always divide a finite number by another one and get a third one as a result, which we can in turn multiply back to return to where we started. But, multiplying by zero always yields zero which effectively loses information and there's no magic quantity ("infinity" or whatever) you can multiply zero by to recover the original number.
#maths #limits #infinity
@danish_akhtar7
The symbol ∞ is normally a shorthand for something like "increases without limit" and whether a quantity which appears to the naive eye to look like "0 x ∞" has any meaning (i.e. a finite value) depends upon "how fast" the thing on the left approaches zero and "how fast" the thing on the right increases without limit.
None of the above is to be confused with transfinite arithmetic.
#maths #limits #infinity
The symbol ∞ is normally a shorthand for something like "increases without limit" and whether a quantity which appears to the naive eye to look like "0 x ∞" has any meaning (i.e. a finite value) depends upon "how fast" the thing on the left approaches zero and "how fast" the thing on the right increases without limit.
None of the above is to be confused with transfinite arithmetic.
#maths #limits #infinity
@danish_akhtar7
∞ isn't a number, unless you specifically define it as such in which case you need to specifically define its properties. For instance you might (for whatever reason) want to add a new number to the Reals that is the result of dividing a finite number by zero and call it "∞". It is your choice whether you also wish to define "0 x ∞" as some special quantity or call it undefined.
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#maths #limits #infinity
∞ isn't a number, unless you specifically define it as such in which case you need to specifically define its properties. For instance you might (for whatever reason) want to add a new number to the Reals that is the result of dividing a finite number by zero and call it "∞". It is your choice whether you also wish to define "0 x ∞" as some special quantity or call it undefined.
...
#maths #limits #infinity
Danish AkhtarIf we multiply Zero (0) with Infinity (∞), then we can't determine the result. This is one of the 7 indeterminate forms in mathematics. I think this can be expressed philosophically as "When an Immovable Object meets an Unstoppable Force, the result is Cannot be Determined."
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A penguin typing with his beak
Do you know how Big Infinity (∞) is? Divide the Entire Observable Universe into an equal Number of Planck's Cube Space. Now put a digit in each of those Planck's Cube Spaces. Use all of these individual spaces to get an Extremely Huge Number. That huge 'Number' will still NOT be Infinity. 🤯
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