Incompleteness Implications for a Theory of Everything by Donald G Palmer

Donald Palmer

Essay Abstract

Built upon formal mathematical systems, physical models are subject to the limitations of those systems. Gödel's Incompleteness theorems state these formal systems are incomplete, and therefore so are the physical models built upon them. Expanding the axioms of the formal mathematical system can resolve the incompleteness of the original system, even though the expanded system remains incomplete. Given these two levels, of physical models built upon mathematical tools, we should consider whether we have adequate mathematical tools to describe physical reality and whether we have an accurate model of reality. Can we find aspects of reality that expand our models and are there expanded mathematical tools for us to build new models upon?

Author Bio

Trained as a mathematician, Donald Palmer has followed the world of computers in his career. He received a BA in Mathematics from Earlham College, then a Masters in Mathematics from Villanova University. He ran his own computer services and software development company for 11 years, before entering the bio-pharmaceutical world, where he now works designing software. He has worked on numeric representational concepts and written a short book on modeling of scale in the physical world.

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Branko Zivlak

Dear Donald

if you had the best theory of everything in your bibliography, your essay would look a lot more optimistic. Two and a half centuries ago when Rudjer Boskovic wrote "The Theory of the Philosophy of Naturalis ..." there was much less data and knowledge, and yet modern achievements confirm it. In reading the essays, I have concluded that for many, Kurt Gödel's "Incompleteness" is the main problem for understanding the whole of the universe. Unfortunately, there are many trivial obstacles that we impose on ourselves in understanding the universe. As you are mathematician, I urge you to check the formulas at the end of my essay.

Hello Branko

anonimus

Dear Donald Palmer, in my opinion you have submitted an excellent essay. Well written and showing an insight that's "what FQXi stands for".

Michael muteru

dr Palmer, I see that we are very much at pat in this school of thought.i like your discussion on the inadequacies of current theories and the need to expand our scope,the continuum of scale diagram is fabulous,rated You highly.why do we humans seem to be in the middle of this scale? kindly read https://fqxi.org/community/forum/topic/3525. Your feedback highly welcome.all the best in the contest.

Satyavarapu Gupta

Dear Dr Donald G Palmer

Your words in your excellent and smooth flowing essay.......

The Need to Expand Our Models

It should also be easily understood that models never precisely describe what we see and experience -those shadows on the wall of the cave. Models always have limitations and our measuring tools always have limits of accuracy. We should never expect to have a model that is 100% accurate, down to whatever level of accuracy we could conceivably reach.

............. are really memorable.

My essay is a different theory on Cosmology with different ethical and Physical philosophies. So Hopefully you will spend a little time on my essay " A properly deciding, Computing and Predicting new theory's Philosophy"...

Best Regards

=snp