Figuring out the implications of your axioms is trivial? Wow. I'm sorry Belz, but that's just ignorant. Again, look at mathematics as an example. Given the integers, the distribution of the primes is already specified. But what is that distribution? Figuring out that distribution isn't trivial, but it follows directly from the axioms.Who's faulted philosophy for that? Don't assume I'm saying anything else but what I write.
Well, that's not a question, but yes that's the next step. What I'm challenging is the idea that philosophy is somehow better than the alternatives at finding answers or solutions that are beyond science's usual scope.
Actually it's trivial.
Only in the broadest, most useless sense. Mathematics has fixed axioms, if you will. It can't operate under the premise that 2 equals 3. Maths aren't some sort of ideology. It's a language that represents how raw numbers work. I'll bet you money that every alien species in the universe that has a civilisation is using the exact same mathematics, albeit with different symbols. You're including maths in a category where they don't belong.
Sorry, but we have to choose our axioms in mathematics just as much as philosophy. And it's not as though there are no controversies in mathematics over those choices.
That doesn't mean that some sets are of axioms aren't better or more useful than others. I agree that aliens will probably have a very similar system of mathematics to us.
I didn't suggest it was. I only suggested that there's a rigorous way or reasoning from your axioms once you've got them, and we define some sets of subjects and their axioms as the domain of philosophy. Anyone is free to reason about those topics, but the field of philosophy tries to apply a higher standard of rigor to that topic.No, what you're not getting is that even religion does that. Everything does that. It's not a unique feature of philosophy.
Cool, tell that to everyone who does non-euclidean geometry. You've basically made my point for me.That is nonsensical. The definition of parallel is that they never meet. That's pseudo-philosophical nonsense, not math.
It's a good thing that some mathematicians were willing to question their axioms, or Einstein would have had a much harder time.