This is a sect and abuse of a language in which words supposed to be associated with particular non-imaginary aspects of reality.
Logic "works" not because its rules are absolute, but because Universe has its structure and laws. Ignoring validity and non-contradiction of premises renders any conclusions meaningless (merely abstract Hegelian bullshit).
Causes (and premises) are not arbitrary so the assumption that everything can be deduced (proved) from anything is bullshit.
Applied math require a type discipline and abstract math is just a set of rules, like abstract logic. And this is my contribution to science.