[deleted]
Hi Wilhelmus,
You wrote:
"2. Existence is mathematically complete, consistent and closed, because it is itself and it generates itself from itself". Here I cannot agree, first : existaence is not something that can be difined as "mathematical" (my perception), it is not consistent and closed because it changes every Planck time. "It is itself and generates itself" here you are contradicting yourself, mathematics cannot generate itself, it is a produst of our thinking. I agree with you that "existenc" generates itself but then via the "non causal part" of our consciousness in Total Simultaneity, for that pleas read "THE CONSCIOUSNESS CONNECTION3 where I explain all the details."
My definition of 'mathematics' is just far broader than ZFC, or any mathematics you are likely to be familiar with. For me, any system that can represent things in terms of how they relate to each other is a 'mathematical system'. From that perspective, how mathematics is represented, or who or what defines it or who or what does the computation is irrelevant to the fundamental purpose of mathematics.
Why should we complicate mathematics by coupling it to observation and making it depend on observation and an observer when that is not necessary for it to fulfill its primary purpose? That is only necessary for mathematics we observers define, and use for our computations.
Since existence has to be able to represent things and the relations between them, it has to be a kind of mathematical system (using my terms).
I have discovered a way in which the universe can generate its own formal (non-fixed symbolic) 'mathematical system' starting from nothing but the grand unified field. In effect, it creates its own 'complex number system' and writes its own 'equations' directly in terms of the transfinite recursive composition of symmetric potential differences in the grand unified field. This is very similar to the way ZFC is defined, except my system simulates the generation of itself from the transfinite recursive composition of symmetric differences in an energy field instead of requiring an observer to generate it from the transfinite recursive composition of empty sets. The problem with empty sets is they represent nonexistence, and nonexistence is incompatible with existence. There is no such thing as nonexistence because it is impossible to destroy any energy, let alone all of it. Because energy always exists, non-existence is a physical impossibility. Hence, relative to existence, mathematicians erred in one of their most foundational assumptions -the existence of nonexistence.
My approach is far superior to current mathematics because it can generate itself, write its own equations, and execute those equations, all without the apriori need for observers, observation, or consciousness. What's more, it can do all of this without the need for any starting assumptions, beyond the inability to destroy the infinite singularity aka, the grand unified field.
The infinite singularity is infinite precisely because there are no differences in the energy it contains. That means no potential differences, no differences in phase angle, no differences in spin, no dimensions, no mass, no gravity, no properties, and no boundary. Since no differences can exist in the singularity, there is no way to distinguish between any state x and its logical complement. In turn, that means it can't have any state, or any dimension, or any boundary or property. It can still have a potential, but that potential can only be defined by something finite relative to something finite (like the gravitational field that compresses the energy in the singularity into singularity and contains it).
Existence must be complete becuase existence is the universe and the universe is everything that exists. Everything that exists (as individuals, in any combination of individuals, and the totality of all individuals) is identical to itself. This cannot be denied, without denying the most fundamental foundation of logic itself.
Since everything in existence is itself, and is identical to itself, it must be consistent.
Since existence is all that exists, it can only be mathematically closed. Note that mathematical closure has nothing to do with whether something is static or dynamic, or has a fixed definition or one that changes. It just means that every operation it performs computes a result that is included in the set that defines its closure (its domain and range). For example, addition is closed under the addition of integers because no matter what integers we add, we get another integer. Direct mathematics is mathematically closed because it generates all its mathematical operators and every possible result using the transfinite recursive composition of symmetric differences - which is a closed operation under transfinite induction. In fact, closure under direct mathematics is much stronger than that in current mathematics, because direct mathematics generates all of itself and everything it generates is itself. By definition its domain, range, and codomain is, and can only be the entire universe. Furthermore, by strict mathematical induction and construction, it can only represent that which exists directly. It generates the representation of everything that exists in terms of direct representation. Lest you worry about indirect representation, it is an extension of direct representation and can be represented by direct representation, whereas the converse is not true. Direct representation cannot be consistently represented by indirect representation. In fact, indirect representation can't represent anything directly.
Direct representation is the logical converse of indirect representation. While mathematics based on indirect representation is incomplete and/or inconsistent, mathematics based on direct representation is both complete and consistent. In fact the cause of incompleteness and inconsistency in current mathematics is its reliance on indirect representation. It is its dependence on observation and indirect symbolic representation. Direct representation is the ONLY way to avoid incompleteness and inconsistency. In indirect representation, nothing represents itself. In other words the symbols that represents a thing are never the same thing as the thing they represent. Conversely, in direct representation, the process that represents direct representation can only represent itself. In turn that process generates new higher order processes, that can only represent themselves. Physically, the way this works is that all differences are finite. All differences in the grand unified field are a difference in its potential. That difference is the energy that composes it. That potential difference also is the force that creates the changes required to execute the process it represents. Thus the process, its representation, and its execution are all represented by the SAME thing. Therefore, nothing in the universe can ever be inconsistent, because everything that exists can only represent its own existence. Therefore, the representation is self-limiting and it can ONLY generate that which exists. Instead of the uncertainty of indirect representation and information, there is only the certainty of direct representation.
Please note that certainty does not preclude the existence of randomness, provided that randomness is consistently represented and consistently generated, just like the non-random components of existence.
In direct mathematics, consciousness, observers and observation are not apriori assumptions. They are generated by existence as part of existence in the due course of time, after the complexity their existence depends on has been generated.
I'll try to address your other points separately.
Kind regards,
Barry