the proper representation of .3333... is 1/3. .333... is not precise and because it can't truely represent what 1/3 is, it isn't accurate enough to be used litterally.
Take Pi, for example, Pi can't be represented in either decimal or fractional notation, yet it can be measured in application, it doesn't have a rational number associated with it because it isn't a rational number.
Whomever proposed this theory is working on the assumption that infinity is rational and obey's traditional laws of addition. It does not, .3333... times 3 = 1.
Take Pi, for example, Pi can't be represented in either decimal or fractional notation, yet it can be measured in application, it doesn't have a rational number associated with it because it isn't a rational number.
Whomever proposed this theory is working on the assumption that infinity is rational and obey's traditional laws of addition. It does not, .3333... times 3 = 1.