liarandathief t1_j28qsw9 wrote on December 30, 2022 at 1:42 PM

Reply to comment by eegocentrik in There’s just as many numbers between 0 and 1 as there is from 0 to infinity. by Resinate1

Define number

eegocentrik t1_j28t06q wrote on December 30, 2022 at 2:00 PM

A number is an arithmetic value used to represent quantity, fractions are quotients of theses quantities.

M8dude t1_j28wbfx wrote on December 30, 2022 at 2:27 PM

you're thinking of natural numbers.

fractions of natural numbers are still numbers, as anyone who knows any actual maths will confirm.

eegocentrik t1_j28x6o7 wrote on December 30, 2022 at 2:33 PM

Nope.

The numbers from 0 to 1 are elements of 1, quotients, not numbers.

Does this contradictory statement make more sense to you?

M8dude t1_j2902dz wrote on December 30, 2022 at 2:55 PM

no.

you're making your own definitions, which is fine, but there are conventional definitions for these things in maths already, and (almost) everyone uses those.

eegocentrik t1_j290ffx wrote on December 30, 2022 at 2:57 PM

Look up the definition of mathematical fraction.

M8dude t1_j2927ms wrote on December 30, 2022 at 3:10 PM

Look up the definition of 'Number'.

here, i'll help you:

> https://en.m.wikipedia.org/wiki/Number

and if that's too difficult, here's the relevant part:

> In mathematics, the notion of a number has been extended over the centuries to include zero (0), negative numbers, rational numbers such as one half ...