Ok then this math you use is not based on any meaningful logical reality, simple logic says you can't do calculations with an infinite number, now if you wish to play around and say one thing equals another that's up to you, it doesn't make it right except within the rule set you choose to use, to me it amounts to trickery but you are free to believe it.
Sorry but this sort of mathematical principle underpins
everything in mathematical physics. The set of numbers known as the Reals are
DEFINED as the Cauchy completion of the Rationals, where Cauchy completion means that you consider infinite length sequences of rationals whose limit is not rational.
For example, consider the sequence 3, 3.1, 3.14, 3.141, 3.1415, .... . This is the ever increasing decimal expansion of pi, which is not a rational number but all the elements in the sequence are. Since the sequence is Cauchy (ie |x_n - x_m| ->0 as n,m -> infinity) then the limit is a Real
by definition.
Obviously the concept of pi or root(2) or e (the exponential) is important in reality. pi relates to circles, square roots relate to Euclidean distances and exponentials describe decay processes. All concepts which are mathematically formalised through the notion of limits. The concept is mathematically sound and physically relevant.
Then there's things like calculus. Integration and differentiation are the bread and butter of physics and engineering. They are how planes and bridges are designed, how weather is modelled, how the computer you're currently staring at is described.
There's a difference between a valid mathematical concept and a valid physical concept (not all mathematical concepts have physical realisations) sure but you're trying to make a claim that 'real maths' doesn't use such concepts. Absolute nonsense. The Reals are defined using it. Calculus is defined using it. Geometry makes use of it. Physics is built on these things.
I would recommend the "A Very Short Introduction To Mathematics" by Gowers, it's a little pop maths book (one in a long series of many topics by different authors) which covers this sort of concept. Or you could read
some of his website on such things as irrational numbers being viewed as infinite decimal expansions of a particular kind.
You didn't respond to my question about why you presented yourself as having some knowledge in this stuff you obviously don't possess. Can I take that as you admitting that you really don't have any experience/understanding of this stuff and what you're saying is just your somewhat uninformed opinion based on no experience?
I don't see how you can logically jump from 0.3r to 1/3, with 1/3 your essentially dealing with a unit, if i cut a cake into 3 thirds i have 3 pieces, i don't have 3 pieces of 0.3r cake.
And I can't read Japanese but that doesn't make me claim it's made up nonsense.
Tell me, how do you run a calculation on an infinite number?
It would never end.
You seriously think mathematicians don't have better ways of computing things than actually adding every term directly? Clearly this is something you haven't realised but there's a LOT of mathematics you aren't taught in school, a lot of concepts, methods and results which are not only unknown to school children but which are extremely counter intuitive and crazy sounding to those who haven't studied it. For example the Banach-Tarski paradox. Look it up on Wikipedia. It's something that if you don't understand the nature of uncountably infinite sets of zero measure then it seems like magic but it is an undeniable implication of the initial axioms they use.
![[FnG]magnolia](/styles/overclockers/avatars/9.png){kind=avatar}
oh god
