Algebra, for example, is based on eight unprovable axioms which are accepted on the basis of faith. Within an imagined world where these axioms are true then algebraic math is also "true". That is because every equation can be logically proved by working back to the axioms.
Yes but this is the kind of faith that is fundamental to reasoning and logic. Such as the faith that "I exist" or that "the observable world exists". These things are assumptions which are necessary to peform basic logic itself. Anyone who reasons must have this faith and people use it in everyday life, whether to help them find their car keys or to figure out what happened to the TV reception. This is necessary faith. The faith in intelligent design is different as it is not a necessary to perform logic.
I reject evolution as science because, of all the brilliant people who I have had the privilege to debate, none have been able to provide a list of axioms agreed upon for this theory, let alone a logical proof that connects the assertions to these axioms. With the millions of hours devoted to this theory I find it inexcusable that none of the "experts" have taken the time to lay the foundation.
Scientific theories are explainations, not mathematical descriptions. They don't, and can't, have "logical proofs" so you are attacking a strawman.
I should also have pointed out that algebra is math and not a "pure science"