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Do any of you guys know of good paradoxes? My favorites are:<br><br><br><br>
- I am lying now.<br><br>
- What came first, the chicken or the egg?<br><br>
- If anything is possible, is it possible that something is impossible?<br><br>
- Everything in moderation, including moderation<br><br>
- Is there an exeption to the rule that states there is an exeption to every rule?
 

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One grain of sand is not a heap. Adding another grain of sand will not turn a non-heap into a heap. So if you add 10 million grains of sand, it still won't be a heap. (This is called the 'Sorites paradox'..)<br><br><br><br>
A barber cuts the hair of everyone who doesn't cut his own hair. Does the barber cut his own hair?<br><br><br><br>
Achilles and a turtle are having a race and the turtle is given the advantage of starting the race 10 meters ahead of Achilles. Every time Achilles runs to the point where the turtle was, the turtle has moved a little forward. Thus Achilles will never pass the turtle. (<span style="font-size:xx-small;">They say the last paradox can be solved by a converging infinite series.</span>)
 

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>>One grain of sand is not a heap. Adding another grain of sand will not turn a non-heap into a heap. So if you add 10 million grains of sand, it still won't be a heap. (This is called the 'Sorites paradox'..)>><br><br><br><br>
solution:<br><br><br><br>
"Adding another grain of sand will not turn a non-heap into a heap" is not true for all cases of non-heaps.<br><br><br><br>
ebola
 

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In another words, there is some point at which one grain makes a difference. That sounds like a counter-intuitive solution to me: would anyone, apart from having this paradox in mind, ever make the judgment of any actual non-heap that adding one grain would turn it into a heap?
 

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<div class="quote-container"><span>Quote:</span>
<div class="quote-block">Originally Posted by <strong>Sevenseas</strong> <a href="/forum/post/0"><img alt="View Post" class="inlineimg" src="/img/forum/go_quote.gif" style=""></a><br><br>
A barber cuts the hair of everyone who doesn't cut his own hair. Does the barber cut his own hair?</div>
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Man, we spent WAY too long on this one in my intro. philosophy class! It's actually been 'proven' non-paradoxical as long as it's stated so that there's no room left open for different interpretations... I wish I could remember some of the more interesting paradoxes we studied in that class... Some of them make me absolutely crazy! <img alt="" class="inlineimg" src="/images/smilies/dizzy2.gif" style="border:0px solid;" title=":dizzy:">
 

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<span>You're right if you're wrong, and you're wrong if you're right.<br><br>
In order to make peace you must be ready to make war.<br><br><br><br>
"You're d***ed if you do, and you're d***ed if you don't." Bart Simpson, "Bart the Genius" Season One of the Simpsons.</span>
 

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<div class="quote-container"><span>Quote:</span>
<div class="quote-block">Originally Posted by <strong>Seb_0810</strong> <a href="/forum/post/0"><img alt="View Post" class="inlineimg" src="/img/forum/go_quote.gif" style=""></a><br><br>
If you request for something you don't want, and get it, do you get what you want?</div>
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Yes -- You got what you asked for, which is what you wanted: to get what you reqrested. What the 'something' is doesn't matter; it's not the object of your 'want' <img alt="" class="inlineimg" src="/images/smilies/tongue3.gif" style="border:0px solid;" title=":p"> I've studied similar 'paradoxes' in my philosophy courses. It's pretty neat how grammar and sentence structure have so much to do with logic.
 

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<div class="quote-container"><span>Quote:</span>
<div class="quote-block">Originally Posted by <strong>kpickell</strong> <a href="/forum/post/0"><img alt="View Post" class="inlineimg" src="/img/forum/go_quote.gif" style=""></a><br><br>
Can an omnipotent being create a rock so heavy that even that being could not lift it?</div>
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There's a paradox similar to that one about God out there that's pretty neat... Wish I knew where I'd seen it ...
 

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<div class="quote-container"><span>Quote:</span>
<div class="quote-block">Originally Posted by <strong>Sevenseas</strong> <a href="/forum/post/0"><img alt="View Post" class="inlineimg" src="/img/forum/go_quote.gif" style=""></a><br><br><br>
A barber cuts the hair of everyone who doesn't cut his own hair. Does the barber cut his own hair?</div>
</div>
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More generally, does the set of all sets which do not contain themselves contain itself?<br><br><br><br><div class="quote-container"><span>Quote:</span>
<div class="quote-block">They say the last paradox can be solved by a converging infinite series.</div>
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They would be right but this follows directly from the topological understanding that would be required to understand why some series converge.
 

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Discussion Starter #15
<div class="quote-container"><span>Quote:</span>
<div class="quote-block">Originally Posted by <strong>kpickell</strong> <a href="/forum/post/0"><img alt="View Post" class="inlineimg" src="/img/forum/go_quote.gif" style=""></a><br><br>
Can an omnipotent being create a rock so heavy that even that being could not lift it?</div>
</div>
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A possible answer is that the omnipotent being decides whether it can lift it or not.
 

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Discussion Starter #16
<div class="quote-container"><span>Quote:</span>
<div class="quote-block">Originally Posted by <strong>Moechalatte</strong> <a href="/forum/post/0"><img alt="View Post" class="inlineimg" src="/img/forum/go_quote.gif" style=""></a><br><br>
There's a paradox similar to that one about God out there that's pretty neat... Wish I knew where I'd seen it ...</div>
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They mentioned it on the Simpsons when Homer asked, "Can Jesus microwave a burrito so hot that not even He can eat it?"
 

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>>would anyone, apart from having this paradox in mind, ever make the judgment of any actual non-heap that adding one grain would turn it into a heap?>><br><br><br><br>
Probably not...but the more general solution would be that concepts are fuzzy things.<br><br><br><br>
ebola
 

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I think that would be a somewhat uninteresting "solution". Maybe not for general philosophy of language, but for the particular problem.
 
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