Joseph, of Blackboard Adventures, giving a talk on 26 APRIL, 2025.

While looking at the future of the GTNC and its applications across mathematics, in physics, computer science and beyond...

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The Inverted Pi might become the official Cardinality Sym. Otherwise,
we might have to deal with
maths like...

𐎜(σ+ω) ≤ ⌈𐎜(σ,ω)⌉ + 1
iff σ,ω ∈ {ⲗ.ⲗ* | ⲗ ∈ ψ:β} ∧ β∈𝜨


--- JWL, inventor of the GTNC theory.
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Those interested, perhaps work backwards from the most recent paper and results: https://bit.ly/ossipaper

Something truly terrific is in the works! And we can't certainly #shutup 🙈⚡😄🙌

#gtnc #symbolsets #numbertheory #jwl #nuchwezi #modernmaths #basecalculus

Accessible on Google Scholar now. Also with full BiBTeX as such:

@article{lutalo2025concerning,
  title={Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum},
  author={Lutalo, Joseph Willrich},
  year={2025},
  doi={10.6084/m9.figshare.28869755},  % Replace with the actual DOI if available url={https://doi.org/10.6084/m9.figshare.28869755},
  note={Available at: [PDF](https://www.academia.edu/129011333/Concerning_A_Special_Summation_That_Preserves_The_Base_10_Orthogonal_Symbol_Set_Identity_In_Both_Addends_And_The_Sum)}
}

FIRST QUEER CONSEQUENCES OF THE lu-BASE CALCULUS

-×--------×-×--------×-×--------×-×--------×-×-

Talking of the first consequences of the new Lu Base Calculus --- summing we refer to the proposed body of base-algebra and symbol set logic[2] from Joseph Willrich Lutalo as such.

We find that by first taking a leap of faith and closing our eyes to what magnitudes we normally assign common symbols or digits in the typically, conventional Arabic Number symbol set for base-10 (the digits 0-9), instead, using the meaningful Base Calculus idea of determining a digit's value or cardinal magnitude based on its position within the ordered symbol set of the base to which it belongs[1] (meaning, assuming we were to redefine the base-10 symbol set with its usual digits ordered differently not as they conventionally are), we essentially would have to rethink the meaning not just of individual digits, but any multi-digit number such as 894! This new mathematics might surely end up disrupting all conventional mathematics and science! And there might be a need to rewrite the foundational philosophy of most mathematics.

---[REFERENCES]:

1. Joseph Willrich Lutalo. Numbers from arbitrary text: Mapping human readable text to numbers in base-36. Academia.edu, 2024. Accessible via https://www.academia.edu/123296302/Numbers_from_Arbitrary_ Text_Mapping_Human_Readable_Text_to_Numbers_in_Base_36.

2. Lutalo, Joseph Willrich. "Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum." (2025).

Yup yup 🤭😆 I'm telling you... Base Calculus is so crazy!! We must rethink numbers starting now 🙈

#basecalculus #modernmaths #symbolsets just madness!!!

Here's the o-SSI Paper Preprints.org Citation Info:

Lutalo, J. (2025). Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends and The Sum. Preprints. https://doi.org/10.20944/preprints202504.2402.v1

@article{202504.2402,
doi = {10.20944/preprints202504.2402.v1},
url = {https://doi.org/10.20944/preprints202504.2402.v1},
year = 2025,
month = {April},
publisher = {Preprints},
author = {Joseph Lutalo},
title = {Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends and The Sum},
journal = {Preprints}
}

Not yet finished reading that very epic paper on RNGs (Anastasios Bikos et al, 2023). Currently done with reviewing it up to just page 4 (out of 30!). Did look up some of the referenced works too.. especially the NIST paper on RBGs (2018). I trust, we are making progress, and the Holy Grail is starting to appear near the horizon!

#research #rngs #jwl #phd #wip

⚙️✨✨ MEANWHILE...