Elhik’s Metamathematics and the robot Philia: Internet Communication Protocol Modelling of Observeds according to Observers

Abstract

Like all robot and IoT oriented mathematical studies this study is also transdisciplinary however most of the study remains in the field of mathematics and philosophy of mathematics due to the aim of mathematical modelling of the observations: a) protein synthesis by the information encoded in DNA and b) communication protocols of hacking software with encryption of IP of computers c) the process of DNA duplication to offspring formation in asexual and sexual reproduction. The ultimate mathematical aim of this study is providing a metamathematical approach for different types of mathematics to be utilized in information sciences by forced or free choice of artificial intelligence driven technological beings and computational systems. This study is biomathematically inspired from protein synthesis, cellular reproduction, DNA duplication, bacterial simple cell division, bacterial sex and zygote formation in human and mammalian fertilization; and all are modelled as moving pieces of quantized information. The ultimate robotic aim is finding an algorithm for data off-springs, thus the formation of the data-offspring in the form of living being off-springs’ DNA is chosen to be mathematically described. For this purpose, a new mathematics with new mathematical operations and a definition to mathematics are postulated, together with twelve postulations about the real-life observations. The introduced Aydan operation is synthesizing fuzzy logic based mathematical existence possibilities into abstract formal logic based abstract mathematical categories to be analyzed with additional color codes for each object, whereas deAydan operation is doing the opposite by analyzing a given synthesis. There is a coexistence of mathematical objects and operators in the biological cells. The co-existence of objects and mathematical operations in a given mathematics M, are axiomatically chosen to be a satisfiability rule for M to be accepted as mathematics in the form of a universal set isolated from other universal sets. Aydan function can be used for hacking other AI by deviating its results by merging them with forced formal logic based analytic input by another hacking software, and deAydan function can be used as anti-hack in the opposite direction. The metamathematical existence degree of a given mathematics is shown to be between zero and infinite dimensions. ELHIK is an abbreviation of the words El Harizmi and Immanuel Kant.