all the symbols and definitions I saw were
(0.) "dozenal" = "base 12" (irrelevant)
1. "0.4" = "0.333..."
2. "numbers" = "symbols"
3. "convert" = "combine 1 and 2"
did I miss?

Integer rather than decimal number. There can be nothing in between them. Two consecutive integers have the smallest possible distance between them using a system of only whole numbers, but they are not the same.

Similarly, using decimal numbers 0.999... and 1 have the smallest possible distance between them using decimals in the real number framework, but they are not the same.

>Two consecutive integers have the smallest possible distance between them using a system of only whole numbers, but they are not the same
true, and the difference is in the system >0.999... and 1 have the smallest possible distance between them using [a system of only] decimals
true, and the difference isn't in the system

0.999... doesn't mean "1-something".

what does it mean then?

In dozenal (base 12)

0.4 + 0.4 + 0.4 = 1

Convert the numbers to decimal:

0.333... + 0.333... + 0.333... = 1

Any further questions?

define 0.333…

he defined as 0.4_12

what do the dots mean? define all symbols used

all the symbols and definitions I saw were

(0.) "dozenal" = "base 12" (irrelevant)

1. "0.4" = "0.333..."

2. "numbers" = "symbols"

3. "convert" = "combine 1 and 2"

did I miss?

what do the dots mean?

same thing the anon I replied to meant. I'm just using his dots

shhh be quiet or you'll make him admit he believes in magic

Take out a pen and paper and convert 0.4 from base 12 to base 10

Refute what? You haven't said anything other than "I feel like it shouldn't be true". How about actually finding proofs of this and critiquing them?

this isn't something that needs proof.

It's a fucking base artifact.

OP is a turbo naggerhomosexual retard

Artifacts are tokens, artefacts are types.

It's self-evident that it isn't true, that's why everyone intuitively thinks it isn't true.

alright, show me a number between the two.

Show me the integer between 1 and 2.

Therefore int 1 = int 2

not him but what's int n

Integer rather than decimal number. There can be nothing in between them. Two consecutive integers have the smallest possible distance between them using a system of only whole numbers, but they are not the same.

Similarly, using decimal numbers 0.999... and 1 have the smallest possible distance between them using decimals in the real number framework, but they are not the same.

>Two consecutive integers have the smallest possible distance between them using a system of only whole numbers, but they are not the same

true, and the difference is in the system

>0.999... and 1 have the smallest possible distance between them using [a system of only] decimals

true, and the difference isn't in the system

0.999... + (0.000...1 / 2)

0.999... + (0.000...1 / 2) = (1.000...4...999...)

sorry forgot most important part

* 0.999... + (0.000...1 / 2) = (1.000...4...999...0)

.33... =/= 1/3

prove it