The Gaussian-School of Higher-Arithmetic; (1831, updated 2022).
An Independent Outside Audit into the entire subject of so-called "mathematics".
Bieżanek is not a mathematician; he is just the external auditor of this apparently rational pursuit.
Leonhard Euler (marked X above) was the most prolific algebraist that the world has ever seen, but his understanding of the underlying meaning of the utter abstractions that he was manipulating was quite frankly abysmal.
The Bieżanek-Identity.
Without the "Bieżanek-Identity", one has no chance whatsoever of understanding the mathematics of our Natural World with respect to her observed feature of apparent time-progression. Well, the identity is trivial and time exists too, so the existence of time is also trivial. The only problem is that without Quantum-Relativity, we understand as much about time as a proud young farmyard turkey-cock understands about the exponential numerical domain, never mind Thanksgiving.
MIIS stands for Machine (electronic calculator) Induced Innumeracy Syndrome.
Audit report:
The natural decryption of iπ from the exponential plane onto the flat plane i.e. e^(iπ) without any magnitude term in the exponent is utterly meaningless, it is algebraic gibberish. All so-called "mathematical", so-called "logical work" performed since this logical gibberish first became applied must be reviewed for consistency and should not be relied upon until everything done in so-called "mathematics" since about 1730 has been checked through by properly trained persons. The only problem being that our world presently contains no properly trained persons. Hero died in 74 AD, Cardano died in 1576, Gauss died in 1855 and beyond the terse remedial statements already published on this website, your independent outside auditor here is not even interested.
This is a crying shame because Leonhard Euler was perhaps our greatest algebraic genius of all time. The reason that e is special is almost nothing to do with the Euler Identity, out of which Euler made a complete dog's breakfast of in any case. The value e is shown to be special by Euler's greatest achievement; the integral of e^x dx = e^x, this relationship is only true if the exponential base is e and is not true for any other exponential base number. That is the most fundamental breakthrough of all human discovery. In comparison to that, Quantum-Relativity and my associated "Gaussian School of Higher-Arithmetic" hardly even counts.
This is a link to something copied out from what I wrote for a maths' homework essay at age 13 in 1964. A few months later I made the connection that I was subliminally changing the illegitimate e^(iπ) into the legitimate e^(0 + iπ). Why did I not become a mathematician? Well, once I knew that the subject was taught in a complete madhouse, it was far safer to stay away and avoid becoming contaminated by the madness of the crowd.
