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Posted

A cylindrical glass has water half its height

Some say it's half full, while some say it's half empty

But if Clair the liar mostly tell what's not right

Will she say "it is full" or she'll say "it is empty"?

If she says it is full she will be off by just 50%, so she will say it is empty...

Posted (edited)

A cylindrical glass has water half its height

Some say it's half full, while some say it's half empty

Take your glass with water to different altitude,

where is different pressure/temperature,

f.e. mountain, tower (the tallest have >500 m),

and "half empty" nor "half full" won't be true anymore,

as it's too imprecise statement.

Edited by Sensei
Posted

@sensei

She can't do anything to alter the physical condition of the subject..

@JCMacSwell

Assume it is as unlikely to make 1g of water appear from nothing as it is unlikely to make 1g of water disappear to nothing.

@ way_m

..it is about water and glass only. Clair is not an optimist or pessimist and dont care if it is half full or half empty..She ought to

choose between false and falser.

Posted

:-)The glass is half filled with water. That means it is half filled with air too. Thus, the glass is full. Now, Clair says what is incorrect. So, she will say "it's empty".

Posted

@Sriman Dutta
When she says "it is empty" she doesnt mean "it is void" but means the
glass contains no water thus full of air. Full means no air volume.

 

Supposedly a simple logic puzzle, no physics. The truth teller would say
it is not full or not empty. Also wont say it is half full or half empty.

Clair would say a geater lie since she can spot the difference. Look again
at that glass of water.

Posted

@Sriman Dutta

When she says "it is empty" she doesnt mean "it is void" but means the

glass contains no water thus full of air. Full means no air volume.

 

Supposedly a simple logic puzzle, no physics. The truth teller would say

it is not full or not empty. Also wont say it is half full or half empty.

Clair would say a geater lie since she can spot the difference. Look again

at that glass of water.

OK, so she will say it is full because at half height it is less than half full because the bottom must have some thickness...

Posted (edited)

The glass is more than half full - therefore the liar will say it is empty.

 

My drinking glasses all have a base - half the height of the glass in liquid: ie a six inch glass (table to rim) would have 3inches of liquid (bottom of liquid to surface). This would mean that the glass has half the volume of the base more than a glass which is technically half full

 

Of course hinges on the meaning of this line:

"A cylindrical glass has water half its height"

 

I contend that this phrase should be taken to mean that the height of the column of water is half that of the glass itself; otherwise it would be better phrased "A cylindrical glass has water for half its height" which would imply the water stops at half the glasses height.

Edited by imatfaal
xpost with JCMac - and yes it did take me an hour and half to write the post (Had a phone call)

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