Why AGI (and GI) is physically impossible?

(It's about causally rigorous calculations. Not fragmented examples.)

Why AGI (and GI) is physically impossible?

Why a General Calculator is physically impossible?

An AGI (and a GI) has something similar to infinity... it tends to reach existence, but in never physically does (everything physical is specific and finite).

An AGI (and a GI) has to include/have all the possible axioms, because it wouldn't face/process only mainstream mathematics (also mainstream mathematics is incomplete) but also allomathematics (mathematics of different axiomatics; infinite different allomathematics is possible). An AGI (and a GI) has to be able to transcribe all problems from any allomathematical system into its own; but the list of axioms is infinite (higher mathematics require the introduction of new axioms) and infinity cannot physically exist.

Also some allomathematics are mutually incompatible (fully or partially) because there is no omniaxiomatics (a single axiomatics of all axiomatics). Some axiomatic systems are list-based, others algorithm based and others are hybrid; and are mutually transcribable is some cases but not in all the cases. Tricks to transcribable formulas between alloaxiomatics can work, but in some cases require new axioms or conversion mechanisms which by no means are self-evident and they are infinite.

\_\_\_\_\_

One solution is to create open axiomatic systems which can increase based on previous axioms (algorithms) their axioms. But new axioms require decisions not included in previous axioms (a non-general calculator axiomatic algorithm can avoid that but it limits its calculational ability).

A truly open axiomatic system is open to the addition/inclusion: 1. of axioms which are incompatible with the previous axioms (it's impossible to create beforehand compatibility [test] axioms for infinite axioms, and if you do some will be mutually incompatible), 2. a self-destructive axiom (an axiom [and axioms] which destroy the functionality of the axiomatic system are always on the horizon (axioms which make impossible some or all calculations).

\_\_\_\_\_

Thus the AGI (and the GI) cannot physically exist.

\_\_\_\_\_

General Calculators are supposed to solve mathematical problems by themselves without external help.

Difficult mathematical problems are solved (if they are solvable) by nobody or by one or few mathematicians due to previous experiences and sometimes luck.

General Calculators (with infinite solving/solution techniques which by no means are self-evident) are impossible.

## What is a calculation? Even axiomatic system transcriptions and other operations.

Why there is no general calculator?

Because there is no omniaxiomatics = there is no axiomatic system of all axiomatic systems (it is important because no general axiomatic transcriptions exist for all different axiomatic systems [see: allomathematics]. If two axiomatic systems are mutually transcribable it means they have: 1. a common hypernymic/superordinate axiomatics and 2. a generic axiomatic transcription algorithm exists. Some axiomatic systems are mutually transcribable on axiomatic basis, some some axiomatic systems are mutually transcribable in a case-by-case per problem basis, and some are non-transcribable. A general calculator would require infinite axiomaticity/infinite axioms which by no means are self-evident, easy to discover or a solution that naturally comes.)

## There is no General Purpose Calculator, thus there is no General Purpose Intelligence.

We can only build or have a good enough for specific tasks calculator/intelligence.

see my older texts