"How Would You Disprove Your Viewpoint?!"
14 years ago
From here:
http://www.edge.org/q2011/q11_1.html
That's a principle that sounds simple at first but when you think about it it's actually a very substantial question we should ask ourselves about any views we have. If we're incapable of disproving what we believe, then we can't claim to know enough about it or what information is challenging it in order to hold the view rationally.
http://www.edge.org/q2011/q11_1.html
That's a principle that sounds simple at first but when you think about it it's actually a very substantial question we should ask ourselves about any views we have. If we're incapable of disproving what we believe, then we can't claim to know enough about it or what information is challenging it in order to hold the view rationally.
The rest are fair game. For example, evolution? Fossil bunnies in the Precambrian (A famous response.)
Atheism? Direct, independently verified, repeatable and measurable divine intervention. (So it's not a hallucination, mysteriously visible only to believers or hearsay. And anything that has an effect on the world is by definition measurable.)
It is not possible to have a triangle in Euclidian space with more than 180 degrees total internal angles - that's an undisprovable viewpoint. I am fully aware that there are non Euclidian geometries, and each has its' own postulates and theorems.
Similarly, there is no such thing as the highest prime number, by definition; 1+1 = 2 with only pure logic...
These things rest on postulates that are often so simple that they seem fundamental aspects of the universe - a thing is either P or P', there's no middle ground (quantum wierdness doesn't count, that's an issue of something's location, not it being a proton and an electron at the same time...)
To say otherwise (at least in considering this universe) is such aggressive relativism that it goes beyond the scope of rational thought - rationalism is based on deductions from the observed universe.
Also, "theorems" aren't things that have been proven beyond a shadow of a doubt. They have merely been proven based on previously established axioms (the Euclidian postulates you're referring to), which you kinda stated anyways, but it's not quite "beyond a shadow of a doubt". And according to Goedel's Incompleteness Theorems, no set of axioms can be established that can prove everything (which kinda says itself can't be proven, but that's by using the same system its own axioms are based upon, and thus all logic we know of would work similarly). Then again, I don't know Goedel's theorems myself - my professors spared us of the several days and several rounds of 4-wall blackboard writing it would require to show us them. But, apparently wikipedia has an article on it, though I'm going to bed and can't check it out myself just yet:
http://en.wikipedia.org/wiki/G%C3%B.....eness_theorems
And yes, such thinking would go beyond "rational thought", but what is a viewpoint, if not a thought that somebody believed was rational?
There's essentially no way for making sense of anything than assuming consistency - and frankly, since the options are "rational thought and deduction" and "total zany chaos that has persisted this way up to now by chance"... it's probably more sensible to assume the first.
Sure, you can't prove everything - but we can use what we get. After all, the incompleteness theorems don't state that the deductions we have are false, just that they're incomplete.
I may have already touched on this, but the reason for the use of deduction is essentially that:
1)A system can only be considered to work if it corresponds with what is already known. Otherwise what is the system's results but a load of irrelevant garbage? Arguments have "proven" the existence of several mutually incompatible deities
2)Deduction (in the scientific sense) is the intent to make a system that inherently corresponds with what is already known, with the addition of predicting future results to check against to prevent circular reasoning.
3) The scientific method also includes Deductive Reasoning, but the main thrust of it is Inductive Reasoning. "Based on this, this and this, what will that do?"
Basically, yeah Theorems aren't totally proven, but Theorems are very close to and Theories (proper ones) are pretty good too. Essentially, disproving them (by the "breakdown - deductive - reasoning" route) would also invalidate most human definitions of proof - and the only one it wouldn't is the photography based one
I think that this is the wrong question. The correct question is: Is your belief logically constructed upon a sufficient foundation of unbiased factual knowledge?