4 ms·
Once they stopped knifing every fellow who figured out it's irrational, the Greeks had it to 100% ;)
by sbaiddn 4y ago
Once they stopped knifing every fellow who figured out it's irrational, the Greeks had it to 100% ;)
- hgsgm 4y agoThat's not true, even as a joke about Pythagoras. √2 is just a name of a relationship, not a measurement, which implies finding its place on the number line. No one will ever know √2 to 100% accuracy, in the sense of answering every question of the the form "is x^2 < 2^n", for all exactly known x (rationals), computing each within a constant time limit.
- xigoi 4y agoBy this logic, no one will ever exactly know the value of 3. Can you compute in constant time for an arbitrary rational number x whether x < 3?
- sbaiddn 4y agoIm content with a Euclidean construction and a proof that its irrational. An infinite series definition. Actually evaluating the digits is for... technicians. (Besides, just choose an irrational number base and sqrt 2 is = 1)