Firstly, I hope you can forgive me for having no real knowledge of philosophy... everything I'm saying is based on a bit of my thinking and skewed understanding of things and it probably sounds ridiculous... anyhow:
In the real material world, can humans really evaluate a proposition as being definitely true? As you said, we define a bottom which consists of base propositions (or axioms) and we can build more complex propositions from those. But since we didn't invent the system of reality, can we really assert that our bottom is correct? I mean, I'm sure almost nobody in a normal state of mind would dispute it and I'm sure that it's empirically sound... but does that make it true? Even if it isn't true, it has served us well enough in our existence, hasn't it?
Conversely, we have mathematics which is a system contrived by humans and thus we can invent axioms and prove theorems and build propositions based on those regardless of whether our perception of reality holds true.
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