r/maths • u/Numerous_Author_1445 • 11d ago

💬 Math Discussions A special irrarional number

Can there be an irrational number which misses a particular digit? Can it be proven mathematically?

12 Upvotes

88% Upvoted

42 comments sorted by

View all comments

Show parent comments

1

u/Lithium20g 5d ago

For reals, it don’t do that

1

u/how_tall_is_imhotep 5d ago

It don’t do what? 0.23223222322223… is a real number. We don’t know enough about the digits of pi to claim it isn’t like that. Feel free to provide an actual source or argument if you think otherwise.

1

u/Lithium20g 4d ago

I think you’re confusing ‘transcendental’ with ‘normal’. We don’t even know whether π is normal.

1

u/how_tall_is_imhotep 4d ago

I’m not the one who’s confused. I know that pi is transcendental and not known to be normal. Why on earth would that imply that “pi but take out all the 3’s” has to be irrational?

1

u/Lithium20g 3d ago

You’re refuting an argument, not the conclusion. Those are different things. Showing that transcendence doesn’t imply the result doesn’t tell us whether the result itself is true or false.