At 3/9/08 01:21 PM, CybexALT wrote:
To paranoia:
Thats where the analgy falls apart I guess, because in maths, you can prove everything. There is a proof for absolutely everything mathematical (except applied stuff), so if someone tells you the wrong message like "this guy has an imaginary friend called Robert" you can say, no that doesn't make sense, because his imaginary friend has a 3 letter name and starts with B.
Even if a mistake was made by the guy who thought of the idea for numbers, and he explained what a number was wrongly, then it doesn't matter because maths has evolved with the number system its used to. Its still correct.
This is getting into quite a tangent :s I should clarify - I'm not attacking the Maths system - I'm just using it as an example that you can't say that anything is 100% certain other than your own existence, and Maths is no exception.
Maybe the guy who defined numbers made a mistake. Maybe he didn't. Maybe he didn't exist. Maybe nothing does except you. Maybe everything we think we know about Maths is because of 'bug' in our heads which makes us think things which are false. Maybe it's just a complete co-incidence that it's continued to work so far, and it's all going to fall apart. Maybe five seconds ago you had a definition of addition which was completely different to yours now - in which 1 + 1 = 6 - and you've just completely forgotten about it. Maybe the laws of reality are going to break any second - it's only prior experience which tells us that they won't, and that's affected by the laws of probability as much as everything else.
Most of the things above are laughably improbable, but that doesn't matter. Any finite probability is enough to prove that something isn't 100% certain.
This is getting onto quite a pointless tangent. All that stuff about definitions and proofs and whatnot is irrelevant. The only point I'm making is that people are fallible; our logic is fallible; our senses are fallible, therefore it is impossible to be completely certain of anything, however stupendously unlikely it is to turn out to be false.