The math book from pythagoras to the 57th dimension

_w._rfI_"D"_,,, N Mathematical Universe Hypothesis Max Tegmark (b 1967) In this book, we have encountered various geometries that have been thought to hold the keys to the universe Johannes Kepler modeled the solar system with Platonic Solids such as the dodecahedron Large Lie groups, like E a, may someday help us create a unified theory of physics Even Calileo in the seventeenth century suggested that "nature's great book is written in mathematical symbols." In the 1960s, physicist Eugene Wigner was impressed with the "unreasonable effectiveness of mathematics in the natural sciences." In 2007, Swedish-American cosmologist Max Tegmark published scientific and popular articles on the Mathematical Universe Hypothesis (MUH) that states that our physical reality is a mathematical structure and that our universe is not just described by mathematics- it is mathematics Tegmark is a professor of physics at the Massachusetts Institute of Technology and scientific director of the Foundational Questions Institute He notes that when we consider equations like I + I = 2, the notations for the numbers are relatively unimportant when compared to the relationships that are being described He believes that "we don't invent mathematical structures-we discover them, and invent only the notation for describing them." Tegmark's hypothesis implies that "we all live in a gigantic mathematical objectone that is more elaborate than a dodecahedron, and probably also more complex than objects with intimidating names like Calabi-Yau manifolds, tensor bundles, and Hilbert spaces, which appear in today's most advanced theories Everything in our world is purely mathematical - including you." If this idea seems counterintuitive, this shouldn't be surprising, because many modern theories, like quantum theory and relativity, can dery intuition As mathematician Ronald Graham once said, "Our brains have evolved to get us out of the rain, find where the berries are, and keep us from getting killed Our brains did not evolve to help us grasp really large numbers or to look at things in a hundred thousand dimensions." SEE ALSO Cellular Automata (1952) and The Quest for Lie Group E, (2007) According to the Mathematical Universe HypothesiS, our physical reality is a mathematical structure Our universe is not just described by mathematics-it is mathematics 516 ... mathematics." Even if the Ishango was a simple bookkeeping device, these tallies seem to set us apart from the animals and represent the first steps to symbolic mathematics The full mystery of the Ishango... crucial to the development of civilization, where they have been used to tie clothing, to secure weapons to the body, to create shelters, and to permit the sailing of ships and world exploration Today,... if the ants started their journey from their nest with the modified legs, they were able to compute the appropriate distances This suggests that stride length is the crucial factor Moreover the