TimeSpaceLightForce Posted September 24, 2016 Posted September 24, 2016 A cylindrical glass has water half its heightSome 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"?
J.C.MacSwell Posted September 24, 2016 Posted September 24, 2016 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...
Sensei Posted September 25, 2016 Posted September 25, 2016 (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 September 25, 2016 by Sensei
wayne_m Posted September 25, 2016 Posted September 25, 2016 Is it really half empty, though? https://what-if.xkcd.com/6/
TimeSpaceLightForce Posted September 25, 2016 Author Posted September 25, 2016 @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.
Sriman Dutta Posted September 27, 2016 Posted September 27, 2016 :-)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". 1
TimeSpaceLightForce Posted September 27, 2016 Author Posted September 27, 2016 @Sriman DuttaWhen she says "it is empty" she doesnt mean "it is void" but means theglass contains no water thus full of air. Full means no air volume. Supposedly a simple logic puzzle, no physics. The truth teller would sayit 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 againat that glass of water.
J.C.MacSwell Posted September 27, 2016 Posted September 27, 2016 @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... 1
imatfaal Posted September 27, 2016 Posted September 27, 2016 (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 September 27, 2016 by imatfaal xpost with JCMac - and yes it did take me an hour and half to write the post (Had a phone call) 1
wayne_m Posted September 28, 2016 Posted September 28, 2016 What about the water vapor in the air in the top half?
TimeSpaceLightForce Posted September 28, 2016 Author Posted September 28, 2016 @J.C.MacSwell Clear and correct..its height is not the same as its capacity. @wayne_m That's part of the atmosphere.
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