Talk:Sequence of non-squares: Difference between revisions

→‎Ambiguity: Whee! logic! In other news, [http://catalystgamelabs.com/ergo/ Ergo] is fun...
(→‎Ambiguity: Whee! logic! In other news, [http://catalystgamelabs.com/ergo/ Ergo] is fun...)
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[[User:Toucan|Toucan]] 08:27, 15 June 2011 (UTC)
:What's the difference between "there are no squares" and "they are all non-squares"? --[[User:Ledrug|Ledrug]] 18:53, 15 June 2011 (UTC)
::(if(a) then (b)) says nothing about conditions when (a) is not true. (if("There are no squares") then ("they are all non-squares")) is a true statement, so if a number is, it must either be a square or a non-square--but this makes no guarantee that there are any values at all. However, we dp get that guarantee from the task's asking for a range from [1,22].
::Since there are values, and since those values must either be squares or non-squares, then if we show that there are no squares in the sequence, the resulting sequence must consist of non-squares. I don't see an ambiguity with the task description, though perhaps the reasons the existing requirements are sufficient could be more clear. --[[User:Short Circuit|Michael Mol]] 20:07, 15 June 2011 (UTC)