Talk:703: Honor Societies

Explain xkcd: It's 'cause you're dumb.
Revision as of 22:15, 2 September 2013 by 193.88.197.67 (talk) (Created page with "A tautology is a statement that is always true and that doesn't convey any information. A classic example is 'A or not A', which is true if A is true, but also if A isn't true...")
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A tautology is a statement that is always true and that doesn't convey any information. A classic example is 'A or not A', which is true if A is true, but also if A isn't true. 'Either it rains or it doesn't rain' is true, no matter what weather it is.

"If 1.000.000 people join this group, it will have 1.000.000 people in it" is, strictly speaking, not a tautology, since it wouldn't be true if - somehow - 1.000.000 people were able to join the group without it having 1.000.000 people in it (I don't know - maybe if people leave the group before the counter hit 1.000.000?). It would also be true if there were somehow 1.000.000 members of the group without 1.000.000 people joining it. It is of the form 'if A then A' which is pretty much a much longer version of just 'A'. It's true if it's true, and it isn't if it isn't - so it isn't a tautology.

The same goes for 'The first rule of the tautology club is the first rule of the tautology club' - It's just a long way of saying "This is the first rule of the tautology club' - which can be true or false.

Granted; the statements hold enough implied information that we will agree that they are true in a trivial sense, and they are much more fun than 'either there are 1.000.000 people in this group or there aren't 1.000.000 people in this group' and 'either this is the first rule of the tautology club or it isn't' 193.88.197.67 22:15, 2 September 2013 (UTC)