comparing

that to mathematics if necessary truth

is the subject matter of mathematics

our knowledge all of that necessary. Is

is what mathematicians are engaged in their engaged in creating knowledge about necessary truth? And

because a mathematician has a brain which

is a physical object and all physical objects are subject to making errors of degradation via the second law of Thermodynamics or

simply just the usual mental mistakes and errors that any human being makes a mathematician is just as

fallible as anyone else then

what they end up proving could be

an error so So if a understand this point even mathematics is capable of error because mathematics is a creative act. We're never quite done. There could have been a mistake in your Axiom somewhere ultimately even mathematics the creative act and can have error within it.