Yes, I've studdied complex analysis and analytic number theory for 5 years and in complex analysis you come across infinity quite alot. Well not in the same way shown in this video but rather singularities of a function. In fact if my momeory serves me right there is a theorem that states that every function can be expressed using its discontinuities but there is no neat formula for it. Also a conjecture I've been working on a proof for about 2 months now states that any analytic function f can be expressed as the sum of the singularities of the mellin transform of f times a first order root. Hence any analytic function f's mellin transform must have first order singularities so the first order singularities and first order roots terminates. I would also recommend watching some videos on the gödstein sequence where you use infinite ordinals to prove it always terminates
@@siddude8021 Right, but do you see infinity in real life? By that, I mean do you use infinity to explain or analyze real PHYSICAL things, not abstract concept?
@magnetospin well that's the thing, many of these theorems have real applications and although they might not be useful for the average Joe most of mathematics is not useful and made useful by engineers and physicists. Basically if maths is a language then understanding the language and its boundaries better helps us better understand how to apply this language to describe the world around us
@magnetospin I think a good example is the potential energy of a body within the gravitational force of another object. Then you imagine that you have 0 potential energy when you are at some point infinitely far away from the object. Basically F = G * m*M/r^2 then the potential energy = integral from inf to R of F dr = - G*M*m/r
@@siddude8021 See, this is the issue I am talking about. No human(or object) is infinitely far away from another object, within the casually linked space anyway, so does this still have any application?
Love the topic, but whyyyyy are you doing this outside on a windy day? 😂
Can you name some real life use cases of infinity?
Yes, I've studdied complex analysis and analytic number theory for 5 years and in complex analysis you come across infinity quite alot. Well not in the same way shown in this video but rather singularities of a function. In fact if my momeory serves me right there is a theorem that states that every function can be expressed using its discontinuities but there is no neat formula for it. Also a conjecture I've been working on a proof for about 2 months now states that any analytic function f can be expressed as the sum of the singularities of the mellin transform of f times a first order root. Hence any analytic function f's mellin transform must have first order singularities so the first order singularities and first order roots terminates. I would also recommend watching some videos on the gödstein sequence where you use infinite ordinals to prove it always terminates
@@siddude8021 Right, but do you see infinity in real life? By that, I mean do you use infinity to explain or analyze real PHYSICAL things, not abstract concept?
@magnetospin well that's the thing, many of these theorems have real applications and although they might not be useful for the average Joe most of mathematics is not useful and made useful by engineers and physicists. Basically if maths is a language then understanding the language and its boundaries better helps us better understand how to apply this language to describe the world around us
@magnetospin I think a good example is the potential energy of a body within the gravitational force of another object. Then you imagine that you have 0 potential energy when you are at some point infinitely far away from the object. Basically F = G * m*M/r^2 then the potential energy = integral from inf to R of F dr = - G*M*m/r
@@siddude8021 See, this is the issue I am talking about. No human(or object) is infinitely far away from another object, within the casually linked space anyway, so does this still have any application?
Yes it can 😂, anything else u wanna Know😂
No, infinity can't be bigger than infinity. Different infinite numbers can increment in bigger steps than other infinite numbers though.