3 ms·

This is a really good point. Maybe the problem is how we define equality. What's the test for when two numbers are equal? People accept that 1/3 = 0.333333...

This is a really good point. Maybe the problem is how we define equality. What's the test for when two numbers are equal? People accept that 1/3 = 0.333333... The same people don't always seem to accept that 3*0.33333... = 1. Well, how are we defining "equals"? If we can give that definition in black and white, I think that may help.

scrimps 6y ago
If 30.33333... = 1, then 30.33333... != 0.9999..., then 0.9999... != 1
esmi 6y ago
> What's the test for when two numbers are equal? I put this in another comment but: For the reals: eliminate a < b and a > b then conclude a = b.