Dear Scholar
No. The true Mathematical and /or Geometrical concept can be verified experimentally too and cite as an EVIDENCE to understand a new concept.
This attachment gives us a PROOF that a new mathematical equation is verified as CORRECT and the true/ real / natural / exact Pi value can be derived very easily.
It means the real "Pi is not as big as we think"
No Super Computer is necessary to calculate the EXACT Pi Value. Simple pocket calculator is enough.
Here is the experiment in attachment with its theoretical analysis in 183rd method.
The video can also be seen in "YouTube" under the title EXACT PI - By Experiment "
or from : [email protected]
I don’t think experimentation is taboo in geometry or other branches of mathematics. There are certainly many applied mathematicians and many of the best mathematics professors will teach even pure mathematics with real-world examples. However, math and science are different epistemologies; experimentation is a hallmark of science whereas proof is a hallmark of math. I’m personally a scientist, so I very much value experiments and observations. Mathematics reliance on proof is very powerful too. Our fields are not in competition; I feel they’re quite complimentary. Scientists use math to understand the world, whether Calculus for Physics or Statistics for Psychology. We can be confident using math precisely because mathematical proof establishes it’s truth in any imaginable world (including the one as it is). While math is pure, we need to get ‘messy’ to do science. No matter how advanced our measurements become, there will always be some error. So, for all practical purposes, we can approximate pi to a finite number. However, mathematically, several proofs have demonstrated that pi is irrational (below). Best wishes with your philosophical thinking, Sarva! ~ Kevin
Summary of Proofs that Pi is Irrational:
https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational
A Fun, Relevant Comic:
https://imgs.xkcd.com/comics/purity.png
Dear Scholar
I thank you very much for your excellent analysis
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