This question already has an answer here:

A random question came to me, which looks something like this :

Is there such a thing as a "finality" of mathematics ? What I mean is can we imagine a time where there would be no more mathematics to discover-invent ?? (can we invent without any limit?)

Thank you!


marked as duplicate by Zev Chonoles, user61527, rschwieb, apnorton, vonbrand Feb 9 '14 at 3:44

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  • 2
    $\begingroup$ Is there such a thing as a "finality" of any other area of study? $\endgroup$ – Brian Fitzpatrick Feb 9 '14 at 3:23
  • $\begingroup$ I don't know... not anyone that I can think of. $\endgroup$ – user108343 Feb 9 '14 at 3:26
  • $\begingroup$ I am curious why this question got downvoted. It seems like a legitimate question to me. $\endgroup$ – Spencer Feb 9 '14 at 3:44

Due to Gödel's incompleteness theorem, there will always be statements whose truth or falsity isn't automatically decidable. Besides, there are obviously an infinitude of possible statements, at least some of them should be "interesting" to somebody...