Level IV other mathematical structures

If one accepts the Platonist paradigm and believes that there really is a TOE at the top of Fig. 7.6, even though we have not found the correct equations yet, then this question arises: why these particular equations and not others? The Level IV multiverse involves the idea of mathematical democracy, in which universes governed by other equations are equally real. This implies the notion that a mathematical structure and the physical world are in some sense identical. It also means that mathematical structures are 'out there', in the sense that mathematicians discover them rather than create them.

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