At its foundational core, nude math is essentially identical to ordinary math, in that it works from the same basic set of axioms (Regularity, Choice, Extension, Pairing, Infinity, Union, Powerset, Separation, Replacement). However, this is where all superficial similarity ends, in that nude math has no rules of formation, no rules of deduction, no rules of syntax, no rules of limit convergence; in fact, no rules of any kind at all. The bare axioms are allowed to sit there on the blackboard and just BE, man, free and unmolested from all outside authoritarian influences. Only in the event of intimate proximity to another axiom would they interact otherwise, sometimes yielding to erotically chaotic behavior, sometimes not. Oh, wow, it was so beautiful. Or not.