1 METAMATHEMATICAL JOURNAL Janie Dam, JD, MEd Geronimo, Logician/Meta-Mathematician
All rights reserved Š 2019 janiedam500@icloud.com Los Angeles, CA USA 1 January 2019 ∃! (đ?œ“⊏đ?œ™) ​đ??† |Îą| ⇒ S (n+3) đ?œ”-Con Nᅪ N 9 ℚ ⇔ đ??™ (đ??“’đ??“’’) m ​ in​ӌ:​ ​prim​ S​ │ đ??™ ⇛ NP ⊆ P ∴ [{(đ??‰ â&#x;ş đ??ż ​ =
⋣ ​⇄ âˆ? )}] ⇔ [ⓕ∅ ⇛F ] ∧ [ⓣ ∅ ⇛ T ] âˆľ |​đ?œ‘​(n)​|
V lâ&#x2021;&#x201D;at â&#x20AC;&#x2039;đ??? = đ???đ??? < ((đ???)(đ???)(đ??&#x201A;)) < đ?? đ???đ??&#x201A; < đ???đ??&#x2019;đ???đ??&#x20AC;đ??&#x201A;đ??&#x201E;.
There exists a necessarily incomplete (đ?&#x153;&#x201C; â&#x160;Ź đ?&#x153;&#x2122;)â&#x20AC;&#x2039; â&#x20AC;&#x2039;universal GĂśdel systemâ&#x20AC;&#x2039; â&#x20AC;&#x2039;đ??&#x2020;1, â&#x20AC;&#x2039;exclusively â&#x20AC;&#x2039; 2(â&#x20AC;&#x2039;x ¡ y ¡ zâ&#x20AC;&#x2039;)â&#x20AC;&#x2039; GÓ§delâ&#x20AC;&#x2122;s formula composed â&#x20AC;&#x2039;of constructible meta-sets of ordinals. We now encode đ??&#x2020; đ?&#x153;&#x2122;(â&#x20AC;&#x2039;nâ&#x20AC;&#x2039;) =â&#x20AC;&#x2039;Max / F â&#x20AC;&#x2039; (Fâ&#x20AC;&#x2039; â&#x20AC;&#x2039; , nâ&#x20AC;&#x2039; â&#x20AC;&#x2039; ) â&#x20AC;&#x2039;to obtain a unique GĂśdel number Fibonacci prime over 1,000 digits long. We will find its factors in polynomial time. đ??&#x2020; â&#x20AC;&#x2039; iâ&#x20AC;&#x2039; s a third-order logic3 meta-system, đ?&#x2018;¤â&#x20AC;&#x2039; -â&#x20AC;&#x2039; consistent for axiomatic schema N â&#x20AC;&#x2039; . â&#x20AC;&#x2039;Here,â&#x20AC;&#x2039; N 9 are the 9 basic axioms of â&#x201E;&#x161;. â&#x201E;&#x161; is a deductive â&#x20AC;&#x2039;a prioriâ&#x20AC;&#x2039; quantum information system which can be extended into N k -tuples, insofar language đ??&#x2122;4 captures time signature condition format đ??&#x201C;â&#x20AC;&#x2122; and đ??&#x201C;â&#x20AC;&#x2122;â&#x20AC;&#x2122;. If this minimal but necessary condition is met, then a double exponential oracle ÓŚâ&#x20AC;&#x2039;: f (x) = Îą
(bZ )
exists such that, a primitive system â&#x20AC;&#x2039;S â&#x20AC;&#x2039;that accepts language đ??&#x2122; can
efficiently and effectively check non-deterministic results in polynomial time. There exist two distinct languages, each of which is a double exponential time signature complexity, in the interest of brevity đ??&#x2030; â&#x2C6;&#x2C6; â&#x2039;Łâ&#x20AC;&#x2039; machines and đ??ż â&#x2C6;&#x2C6; đ?&#x161;ˇ transhuman, quantum computers đ??&#x2030;â&#x20AC;&#x2122; and đ??&#x2030;â&#x20AC;&#x2122;â&#x20AC;&#x2122; accepts functions and time signatures: â&#x201C;&#x2022;â&#x2C6;&#x2026; = â&#x20AC;&#x2039;[{(
â&#x201C;&#x2022;2 â&#x2C6;&#x2019; â&#x201C;&#x2022;1 â&#x201C;&#x2022;â&#x2C6;&#x2026;
)}] Ă&#x2014; [{(
â&#x201C;&#x2022;1 â&#x2C6;&#x2019; â&#x201C;&#x2022;2 â&#x201C;&#x2022;â&#x2C6;&#x2026;
)}] â&#x2039;&#x2122; [{(
â&#x201C;Łâ&#x2C6;&#x2026; = â&#x20AC;&#x2039;[{(
â&#x201C;Ł2 â&#x2C6;&#x2019; â&#x201C;Ł1 â&#x201C;Łâ&#x2C6;&#x2026;
)}] Ă&#x2014; [{(
â&#x201C;Ł1 â&#x2C6;&#x2019; â&#x201C;Ł2 â&#x201C;Łâ&#x2C6;&#x2026;
)}] â&#x2039;&#x2122; [{( 2â&#x2C6;&#x2019;t 1 )}] Âą [{( 1t 2 )}]â&#x20AC;&#x2039;= t0 â&#x20AC;&#x2039;Because 0 0
diagonals V Latâ&#x2021;&#x2019; =
â&#x2C6;&#x161;
1â&#x2C6;&#x2019;
2
( ) Îąâ&#x2C6;&#x2019;β Î&#x201D;
and V â&#x2021;?Lat =
f2 â&#x2C6;&#x2019; f1 f0
)}] Âą [{(
t t
â&#x2C6;&#x161;
1â&#x2C6;&#x2019;
f1 â&#x2C6;&#x2019; f2 f0
)}]â&#x20AC;&#x2039;=
f 0 â&#x20AC;&#x2039; and
t â&#x2C6;&#x2019;t
2
( ) βâ&#x2C6;&#x2019;Îą Î&#x201C;
allows it.
The transhuman programmer dictates time signature t0 to oracleâ&#x20AC;&#x2039; ÓŚâ&#x20AC;&#x2039; â&#x20AC;&#x2039; â&#x20AC;&#x2039;from a much higher order tâ&#x2C6;&#x2026; via â&#x20AC;&#x2039;Primordial recursive functions đ???=[{( p1 , p2 , p3 ...)}] and Modular recursive
functions đ??&#x152;=â&#x20AC;&#x2039;Lateralâ&#x20AC;&#x2039;:â&#x20AC;&#x2039;[{( â&#x2020;? lat 1â&#x20AC;&#x2039; â&#x20AC;&#x2039;, lâ&#x20AC;&#x2039; at 2â&#x20AC;&#x2039; â&#x20AC;&#x2039;, lâ&#x20AC;&#x2039; at 3â&#x20AC;&#x2039; â&#x20AC;&#x2039;,...)}] for quantum information research.
1
GĂśdelâ&#x20AC;&#x2122;s constructible universal meta-sets system Arithmetization (over 1,000 digit long code for factorization). 3 Inception logic ( 3-value logic, rendering 2-value logic obsolete). 4 Zeroth language Z (universal language endowed to address the absolute). 2