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Give your claim#1 to other scientists/enginees to look at. Get their feedback. I bet you you will find not one scientist or engineer who would agree that the world can be reconstructed as a set of arithmetic axioms.
In this also you are mistaken.
What's the Universe Made Of? Math, Says Scientisthttps://www.livescience.com/42839-the-universe-is-math.htmlCongrats you found one to confirm your bias.
Thanks but credit for that initial logic goes to Perry Marshall who's background was in electrical engineering before he went on to make his money in IT. My own educational background was in biochemistry before I went on to a doctorate in medicine so your "bet" was really not a wise one. Perhaps having been shown incorrect in one area you should reexamine other axioms?
Regardless if you are interested in further exploration Professor Tegmark wrote an entire book on this topic.
Mathematical Universehttps://www.amazon.com/dp/0307599809?_encoding=UTF8&isInIframe=0&n=283155&ref_=dp_proddesc_0&s=books&showDetailProductDesc=1#product-description_feature_divHere are some reviews of that book also by scientists.
Brian Greene, physicist, author of The Elegant Universe and The Hidden Reality
“Our Mathematical Universe boldly confronts one of the deepest questions at the fertile interface of physics and philosophy: why is mathematics so spectacularly successful at describing the cosmos? Through lively writing and wonderfully accessible explanations, Max Tegmark—one of the world’s leading theoretical physicists—guides the reader to a possible answer, and reveals how, if it’s right, our understanding of reality itself would be radically altered.”Michio Kaku, author of Physics of the Future
“Daring, Radical. Innovative. A game changer. If Dr. Tegmark is correct, this represents a paradigm shift in the relationship between physics and mathematics, forcing us to rewrite our textbooks. A must read for anyone deeply concerned about our universe.” Ray Kurzweil, author of The Singularity is Near
“Tegmark offers a fresh and fascinating perspective on the fabric of physical reality and life itself. He helps us see ourselves in a cosmic context that highlights the grand opportunities for the future of life in our universe.” Prof. Edward Witten, physicist, Fields Medalist & Milner Laureate
“Readers of varied backgrounds will enjoy this book. Almost anyone will find something to learn here, much to ponder, and perhaps something to disagree with.” Prof. Andrei Linde, physicist, Gruber & Milner Laureate for development of inflationary cosmology
“This inspirational book written by a true expert presents an explosive mixture of physics, mathematics and philosophy which may alter your views on reality.”Prof. Mario Livio, astrophysicist, author of Brilliant Blunders and Is God a Mathematician?
“Galileo famously said that the universe is written in the language of mathematics. Now Max Tegmark says that the universe IS mathematics. You don’t have to necessarily agree, to enjoy this fascinating journey into the nature of reality.”Prof. Julian Barbour, physicist, author of The End of Time
“Scientists and lay aficionados alike will find Tegmark’s book packed with information and very thought provoking. You may recoil from his thesis, but nearly every page will make you wish you could debate the issues face-to-face with him.”Prof. Seth Lloyd, Professor of quantum mechanical engineering, MIT, author of Programming the Universe
“In Our Mathematical Universe, renowned cosmologist Max Tegmark takes us on a whirlwind tour of the universe, past, present—and other. With lucid language and clear examples, Tegmark provides us with the master measure of not only of our cosmos, but of all possible universes. The universe may be lonely, but it is not alone.”Prof. David Deutsch, physicist, Dirac Laureate for pioneering quantum computing
“A lucid, engaging account of the various many-universes theories of fundamental physics that are currently being considered, from the multiverse of quantum theory to Tegmark’s own grand vision.”