1=0 because I say so??? As you point out 'because I say so' is the end to all debate and reason. Also I don't think you are being petulant as you remain prepared to engage in debate and not just preach.
The scientific method is not about truth or proof. Why? because the method can never hope to achieve either. Scientific method is about chipping away at ignorance. A bright light that exposes what we can establish as incorrect. At its best the scientific method leaves very little room for ignorance and alternatives. What then happens is that the bright light of experiment is focused ever more strongly on the reducing domain of ignorance. This approach can never discover everything and is restricted to the domain of what is physically discoverable. Nevertheless in those areas it is King. Which is why I have objected to pseudo-science when it crops up and to poor math and general misunderstanding of statistics that are present in this thread (and others
) .
I think this is more about me not expressing myself very clearly rather than a fundamental difference on opinion between us, and is totally my fault, so I'm going to try to be clearer.
Do I believe that you can have an arbitrary faith regarding just about anything? Yeah, I think it is
possible to have completely random beliefs. So someone can assert 1 = 0 using the symbols to mean what you would expect them to mean (
of course in some contexts, that equation is completely correct mathematically).
However, what can you do with such a faith? As NoPoke pointed out, not much. So yeah, you can have such a faith, but there are good reasons not to.
When you try to analyse the reasons why such a faith is nonsensical, you quite quickly come across some sort of concept of
consistency. What do I mean by this? Say you had the faith that 1 = 0. But then, all of mathematics falls flat. So you can't count, because that makes no sense. You can't use money. You wouldn't be able to use any machinery, etc., etc.
If you think that the faith is causing an inconsistency with your need to be able to use maths, then one or other has to go. Most people would choose the maths. Kidding - I'm guessing you would agree that the faith has to go.
You can either start with a set of ground rules - some axioms - and try to build up from there. Or you can keep an open mind, and experiment a little, asking yourself at each step whether that is something you would consider reasonable. But, if you use either approach to shape your world view, then you're probably going to run into some philosophical trouble - that was the point of my previous posts. You can't
definitively use empirical reasoning in this way. And using an axiomatic approach relies very heavily on what your starting assumptions are. Each will be open to criticism.
Given all of that, how do you come to any sort of conclusions? You can either:
- Slog on with studying and try to find the answers. Remarkably, we have made some amazing discoveries in all areas of study (not just science), and it's got to the point where a lot of people believe that you can find the answers if you look hard enough (remember the objections to this approach still stand, at least in my eyes - we will never be able to find
all the answers), or
- Take a leap of faith in anything that cannot be covered by the above.
What's amazing is that it is possible to take leaps of faith and suddenly everything makes sense. P_A is very content with his Chrisitan beliefs, and I am with mine. But I can't pretend that
my beliefs are OK for everyone - I doubt P_A is looking to convert to my religion, for instance.
That's what I meant about it being possible to have two people, with differing faiths, but both of them entirely content with their world view and convinced that its consistent with all other knowledge they've encountered. Once you've gone through this entire process, if you disagree with someone's faith, you just have to agree to disagree. Saying 'I said so!' is completely valid, at least in this context.