EmilyRocks -> RE: Answer to EmilyRocks (12/15/2011 3:07:42 PM)
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quote:
How can you be absolutely sure that your example with pebbles applies to anything else? replace the pebbles with anything you want, the results remain the same. quote:
How can you be absolutely sure that you do not live in a Matrix-like universe, where the extraterrestrials even control your thoughts (and everyone else's) and they manipulate them anytime you think about it, to convince you that you are doing it right, when actually you are doin it wrong and 2+2=5 ? Because 5 and 4 do not mean the same thing, by the definitions of the words 2 plus 2 MUST equal 4. They cannot equal 5 no matter who or what is messing with my mind. That's what the words mean. 4 is a symbol for the number four, and that number can be achieved by adding two and two. It doesn't matter how matrixy the universe is, those are the meanings of those concepts, words and symbols. quote:
How can you be absolutely sure that there is not even an unimaginable scenario, which renders your proof wrong? quote:
You would have to demonstrate the same for all unimaginable scenarios. Think about the difficulty of proving that something you can't imagine, does not exist. In this context a "scenario" is a hypothetical situation. A hypothetical is something imagined. So if the scenario where 2+2=4 is wrong is unimaginable, that means it does not and cannot exist, since, again by definition, it must be imaginable in order to exist. quote:
That's the reason why absolute certainties are not in the range of reason, but of fanatism, dogmatism, etc. Rational thinking proves things "until proven otherwise", "for the time being", "as long as we are not taught better by new facts", "provisionally". The mistake you made is that simple math is not in the realm of reason, it is just fact. 4 is the whole number between 3 and 5. Not reason, just fact, that is what 4 represents, that is its definition. If I take an apple and an orange (there you go mnottertail) and a plum and a grapefruit, I have 4 fruit, I also have 2 citrus fruit, and 2 non-citrus fruit. 2 citrus fruit + 2 non-citrus fruit = 4 fruit. Choose another example other than "2+2=4" and your argument might stand up, but since you insist on using a verifiable fact as an example of something that we cannot be sure of, your whole argument falls apart.
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