- #1
japplepie
- 93
- 0
you can list and match up all rational numbers with irrational numbers this way..
lets say i have an irrational number 'c'.
Rational->Irrational
r1->cr1
r2->cr2
.
.
.
rn->crn
There exists an irrational number that is not on this matching, (not equal to any of the crx's)
this irrational number can be made by multiplying c to another irrational number 'b'
and I can prove that this is not on the list because cb never equals crx because b is irrational and rx is rational
is this a valid proof?
lets say i have an irrational number 'c'.
Rational->Irrational
r1->cr1
r2->cr2
.
.
.
rn->crn
There exists an irrational number that is not on this matching, (not equal to any of the crx's)
this irrational number can be made by multiplying c to another irrational number 'b'
and I can prove that this is not on the list because cb never equals crx because b is irrational and rx is rational
is this a valid proof?