Zero and infinity are both symmetry states. Every change (that is arithmetical operation) leaves them essentially unchanged. 50 times zero is zero. Likewise 50 times infinity is still infinity. Zero represents nothing. Infinity represents everything. Hence - judged on their deep mathematical structure - nothing and everything are equivalent states of affairs. They are both symmetries. Of course we would want to say they are not quite equivalent. They seem positive and negative like charge. Nothing is the lack of all possible things, and everything is contrariwise, the presence of all possible things. But this just points to a greater lurking symmetry. Like charge, positive and negative can "fill each other in", cancelling to become a greater symmetry. So zero plus infinity yields an even deeper level of mathematical symmetry. Or translated to ontology, everything and nothing are really the same thing at a deeper level of existence. This deeper symmetry state ought to have its own name (I like vagueness). So where is the flaw in this logic?