From Euclid onwards, every theorem in mathematics has been of the form “hypothesis implies conclusion”. There is no exception to this rule, under any circumstances, anywhere, anywhen, anybody, anything. Mathematicians and philosophers generally have precisely two ways of interpreting such a theorem: (a) if hypothesis is true, then conclusion is true, and (b) if conclusion is false, then hypothesis is false. Most other people, and unfortunately this includes a lot of physicists, have only one interpretation: (c) hypothesis is true, therefore conclusion is true. This is usually abbreviated to (d) conclusion is true.

The pitfalls of this approach are obvious. As more and more such theorems are proved, one is forced to swallow more and more absurd conclusions. There are quite a number of theorems in which the hypothesis is something like the axioms of quantum field theory, and the conclusion is something like the existence of the multiverse, or many-worlds, or electrons have free will, or any number of other completely absurd conclusions. Many physicists refuse to question the hypotheses, and are therefore compelled to believe these outrageous conclusions. As a mathematician, and an amateur philosopher, my interpretation is the opposite: the conclusions are absurd, therefore the hypotheses are false.

This argument is so old and so well-known that it is called “reductio ad absurdum”. Why can I not get a single mainstream physicist to accept this obvious, even tautological, argument?

The axioms of quantum field theory are false. End of.