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Jan 25th, 2006 by ravi
You might be a (mathematical) Platonist? »

[with apologies to Jeff Foxworthy]

Among other eminent bits, Karlis Podnieks has an interesting test you can use to see if you are a Platonist. As psychologists like to say, denial is more than just a river in Egypt and the first step to recovery is accepting the problem. So, take the test… its for your health! ;-)

Foundations of Mathematics. Mathematical Logic. By K.Podnieks

Suppose, someone has proved that the twin prime conjecture is unprovable in set theory. Do you believe that, still, the twin prime conjecture possesses an “objective truth value”? Imagine, you are moving along the natural number system:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, …

And you meet twin pairs in it from time to time: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71,73), … It seems there are only two possibilities:

a) We meet the last pair and after that moving forward we do not meet any twin pairs (i.e. the twin prime conjecture is false),

b) Twin pairs appear over and again (i.e. the twin prime conjecture is true).

It seems impossible to imagine a third possibility…

If you think so, you are, in fact, a Platonist.

 

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