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kehler
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Homework Statement
Well this really isn't math. But I didn't know which other category it could fall under. And I figured math uses logic anyway... But do move it if it should be posted somewhere else.
The question is:
Analyse and discuss the logical statement shown below:
if someone has one cent, he is not rich
if someone is not rich, then giving him one cent will not make him rich
therefore, no matter how many times you give a person a cent will not make him rich
The Attempt at a Solution
I've never taken a course in logic before so I'm not too sure how to approach this. It seems obvious that the conclusion is false. Is it right to say that if the conclusion is false, one of the premises must be false? I'm thinking the first statement is true, although it is kinda relative to who the person's being compared to. If someone has one cent, and another person has no money at all, he will be in some sense 'rich'. But then again according to the dictionary, being rich is to possesses great material wealth so he isn't exactly rich... The second statement I think is false. Well it seems more likely to be false that the first one and I don't think they can't both be true. But I really don't know how to argue that it's false :S. It would be easier if there were some kind of threshold where if one had more money than that, he could be considered rich..
Any opinions on this? I would really appreciate it if someone could tell me how to argue it logically.