This sentence is false.

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Timotheous
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Loomis
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DrSpudnik

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Timotheous
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DrSpudnik

Of course!

Cool

planeden

yep, comment deleted is about as true as this page intentially left blank.  if anything the not should be on the previous page saying "the next page is intentionally left blank".

DCMS
planeden wrote:

yep, comment deleted is about as true as this page intentially left blank.  if anything the not should be on the previous page saying "the next page is intentionally left blank".


 I'd love to know what's going on here. This is some level of logic I am not skilled to comprehend.

planeden
DCMS wrote:
planeden wrote:

yep, comment deleted is about as true as this page intentially left blank.  if anything the note should be on the previous page saying "the next page is intentionally left blank".


 I'd love to know what's going on here. This is some level of logic I am not skilled to comprehend.


perhaps the edit above will help.  point is, if you say "intentionally left blank" the page is no longer blank. 

as for the thread, i have no idea because when i got here everything had been deleted. 

Timotheous

And alas I cannot remember what I originally wrote or why I deleted it.

I have these memory pills but I keep forgetting to take them. Oh well.

DCMS

I found the title of this forum fascinating.

Timotheous

It was pointing out the limitations on assigning "truth" or "false" values to all statements, especially self-referential statements.

rooperi

DCMS
rooperi wrote:

 


 Your point being (I assume) that the only purpose of this sign is to be a sign at which one is not allowed to throw stones, thus not conveying any outer message (only the circular one). Such a sign would therefore be a waste of taxpayer money.

Timotheous

I thought it was just a funny sign. One that would tempt you to do the very thing that it prohibits. Kind of like wearing a target on your shirt. 

planeden
DCMS wrote:
rooperi wrote:

 


 Your point being (I assume) that the only purpose of this sign is to be a sign at which one is not allowed to throw stones, thus not conveying any outer message (only the circular one). Such a sign would therefore be a waste of taxpayer money.


and a stone magnet. 

MindWalk

I just noticed the title of this thread.  "This sentence is false" is a fascinating one to contemplate.  Naturally, the usual way of reasoning is "If it's true, then what it says is so, so it really is false--but that contradicts its being true; if it's false, then what it says isn't so, so it isn't false--but that contradicts its being false."  However, it can be *meaningless*.  Then it doesn't say anything, so it doesn't say it's false. 

The Strengthened Liar, "This sentence is either false or meaningless," is thought by many to be a problem for that account, but I don't think it is.  One can't say, "Well, we're supposing it's meaningless, but it *says* it's false or meaningless, so it's true," because it doesn't actually *say* it's false or meaningless, because, being meaningless, it doesn't say *anything*.

oinquarki
MindWalk wrote:

I just noticed the title of this thread.  "This sentence is false" is a fascinating one to contemplate.  Naturally, the usual way of reasoning is "If it's true, then what it says is so, so it really is false--but that contradicts its being true; if it's false, then what it says isn't so, so it isn't false--but that contradicts its being false."  However, it can be *meaningless*.  Then it doesn't say anything, so it doesn't say it's false. 

The Strengthened Liar, "This sentence is either false or meaningless," is thought by many to be a problem for that account, but I don't think it is.  One can't say, "Well, we're supposing it's meaningless, but it *says* it's false or meaningless, so it's true," because it doesn't actually *say* it's false or meaningless, because, being meaningless, it doesn't say *anything*.


This just blew my mind.

Timotheous

I wish I could remember what I posted in the first few threads. I need to stop deleting my comments.

Timotheous

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Timotheous
MindWalk wrote:

I just noticed the title of this thread.  "This sentence is false" is a fascinating one to contemplate.  Naturally, the usual way of reasoning is "If it's true, then what it says is so, so it really is false--but that contradicts its being true; if it's false, then what it says isn't so, so it isn't false--but that contradicts its being false."  However, it can be *meaningless*.  Then it doesn't say anything, so it doesn't say it's false. 

The Strengthened Liar, "This sentence is either false or meaningless," is thought by many to be a problem for that account, but I don't think it is.  One can't say, "Well, we're supposing it's meaningless, but it *says* it's false or meaningless, so it's true," because it doesn't actually *say* it's false or meaningless, because, being meaningless, it doesn't say *anything*.

 

MindWalk, could you recommend some good basic logic books that could introduce me to that sort of thing? Maybe something that explains the p and q stuff as well. (Monens Ponens?)