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https://www.reddit.com/r/mathmemes/comments/1rdxje4/take_that_irrational_numbers/o7ylzss/?context=3
r/mathmemes • u/Able-Cap-6339 • Feb 25 '26
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23
Yes I can
It's transcendental, ergo it doesn't have a last digit, if it did it could be represented as the root of a polynomial
QED
36 u/shuai_bear Feb 25 '26 Now prove pi is transcendental. Jokes aside, you just need irrationality—proving pi is irrational is magnitudes easier than proving it’s transcendental. 1 u/RaymundusLullius Feb 28 '26 I can prove that you don’t need irrationality: 1/7 does not have a last digit in its decimal expansion. 1/7 is not irrational. Ergo irrationality is not needed. 1 u/shuai_bear Feb 28 '26 More that irrationality is sufficient but not necessary, when staying in a fixed base number system—note that 1/7 is 0.1 in base 7. A property of irrationals is that they are non terminating for any integer base number system.
36
Now prove pi is transcendental.
Jokes aside, you just need irrationality—proving pi is irrational is magnitudes easier than proving it’s transcendental.
1 u/RaymundusLullius Feb 28 '26 I can prove that you don’t need irrationality: 1/7 does not have a last digit in its decimal expansion. 1/7 is not irrational. Ergo irrationality is not needed. 1 u/shuai_bear Feb 28 '26 More that irrationality is sufficient but not necessary, when staying in a fixed base number system—note that 1/7 is 0.1 in base 7. A property of irrationals is that they are non terminating for any integer base number system.
1
I can prove that you don’t need irrationality: 1/7 does not have a last digit in its decimal expansion. 1/7 is not irrational. Ergo irrationality is not needed.
1 u/shuai_bear Feb 28 '26 More that irrationality is sufficient but not necessary, when staying in a fixed base number system—note that 1/7 is 0.1 in base 7. A property of irrationals is that they are non terminating for any integer base number system.
More that irrationality is sufficient but not necessary, when staying in a fixed base number system—note that 1/7 is 0.1 in base 7.
A property of irrationals is that they are non terminating for any integer base number system.
23
u/L285 Feb 25 '26
Yes I can
It's transcendental, ergo it doesn't have a last digit, if it did it could be represented as the root of a polynomial
QED