∞ is a free variable

[Skepdick]

You have a really hard time listening and understanding what other people are saying.

Pile on the irony.

[Magnus Anderson]

"fractional part" is synonymous with "remainder".

Not really.

"Fractional part" is a property of a number. 6 divided by 4 is 1.5. The fractional part of 1.5 is 0.5.

"Remainder" is a property of a process of division. In the case of integer division of 6 by 4, the remainder is 2.

While you were copy-pasting blindly you didn't even understand what any of the text means.

Precisely the opposite. YOU didn't understand what any of that means.

[Skepdick]

Precisely the opposite. YOU didn't understand what any of that means.

Then why did you get it wrong?

[Magnus Anderson]

Precisely the opposite. YOU didn't understand what any of that means.

Then why did you get it wrong?

Wake up.

[Skepdick]

"fractional part" is synonymous with "remainder".

Not really.

"Fractional part" is a property of a number. 6 divided by 4 is 1.5. The fractional part of 1.5 is 0.5.

Contradiction. That's not integer division because the quotent is not an integer.

Your "open division" is not an integer division because the quotient is not an integer.

[Magnus Anderson]

Contradiction. That's not integer division because the quotent is not an integer.

It is not. You got that one right. But unfortunately, you have no point.

[Skepdick]

Contradiction. That's not integer division because the quotent is not an integer.

It is not. You got that one right. But unfortunately, you have no point.

So try to explain to us what the "fractional part" in integer division amounts to if the quotient is always an integer.

WIthout contradictions this time.

[Magnus Anderson]

So try to explain to us what the "fractional part" in integer division amounts to if the quotient is always an integer.

They are saying that the result of an integer division is the result of a real number division with the fractional part discarded.

Is that really that hard to comprehend?

[Magnus Anderson]

6 / 4 = 1.5

The fractional part of 1.5 is 0.5. You discard that. You get 1. That's the result of the integer division of 6 by 4.

[Skepdick]

They are saying that the result of an integer division is the result of a real number division with the fractional part discarded.

Is that really that hard to comprehend?

Apparently it's impossible to understand. For you.

That's precisely what discarding the remainder amounts to.

10/3 = 3 + 1/3
is exactly the same thing as
10/3 = 3 with remainder 1
is exactly the same thing as
10/3 = 3.333...

When you discard the remainder/fractional part you get...

10/3 = 3

[Skepdick]

6 / 4 = 1.5

The fractional part of 1.5 is 0.5. You discard that. You get 1. That's the result of the integer division of 6 by 4.

Let me pull out the crayons for you (please don't eat them!)


10/3 = 3 + 1/3
10/3 = 3, remainder 1
10/3 = 3.333...

Discard the red part. and you get...

10/3 = 3

"fractional part" is synonymous with "remainder".

[Magnus Anderson]

When you discard the remainder/fractional part you get...

10/3 = 3

They are discarding the fractional part of the quotient, dummy. So instead of 6/4 being 1.5 it's merely 1. And when they do that, they create a remainder, i.e. make it non-zero. In the case of real number division, the remainder is 0. In the case of integer division, the remainder is 2.

LEARN what the term "remainder" means. It certainly has nothing to do with what's in the output. It's the difference between dividend and the divisor multiplied by the quotient. That's all it is.

6 / 4 = 1 has a remainder that is 2.

6 / 4 = ( 1, 2 ) where the first number in the resulting pair is the quotient and the second is the remainder has a remainder that is 2.

6 / 4 = 1.5 has a remainder that is 0.

They are simply saying that in the integer division the fractional part of the quotient is discarded.

YOU ARE MISUDNERSTANDING THE FUCK OUT OF EVERYTHING.

WAKE UP.

[Magnus Anderson]

"fractional part" is synonymous with "remainder".

They aren't dummy. Give it up. Ask ChatGPT that you love so much. It will tell you the same exact thing.

[Skepdick]

When you discard the remainder/fractional part you get...

10/3 = 3

They are discarding the fractional part of the quotient, dummy. So instead of 6/4 being 1.5 it's merely 1. And when they do that, they create a remainder, i.e. make it non-zero. In the case of real number division, the remainder is 0. In the case of integer division, the remainder is 2.

LEARN what the term "remainder" means. It certainly has nothing to do with what's in the output. It's the difference between dividend and the divisor multiplied by the quotient. That's all it is.

6 / 4 = 1 has a remainder that is 2.

6 / 4 = ( 1, 2 ) where the first number in the resulting pair is the quotient and the second is the remainder has a remainder that is 2.

6 / 4 = 1.5 has a remainder that is 0.

They are simply saying that in the integer division the fractional part of the quotient is discarded.

YOU ARE MISUDNERSTANDING THE FUCK OUT OF EVERYTHING.

WAKE UP.

Dummy. You are describing floor division. Dummy.

N / N -> N

The remainder/fractional part/decimal part doesn't matter.

Which continues to be different from division WITH remainder, dummy.

N / N -> N x N

[Magnus Anderson]

Dummy. You are describing floor division. Dummy.

N / N -> N

The remainder doesn't matter.

Well, as I've said a million times by now, you're either severely retarded or you're being paid to destroy thought.

I can't tell which one is worse.

The remainder is there, you moron. That's the entire point. The remainder of 6 div 4 isn't 0 merely because it's not part of the result ( which is your nonsense bullshit meant to disprove the very banal claim that every integer is either even or odd and that there are no integers that are neither even nor odd. )

It's part of your bullshit against classical logic.