Lowering the percentage of water by 1% means that the weight is halved

Ingy · December 21, 2015, 01:39:32 PM

Quote from: The Turkey Awakens on December 21, 2015, 01:37:09 PM

Quote from: IngloriousWho98 on December 21, 2015, 01:29:37 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:27:14 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:26:13 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:22:33 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:21:07 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:17:59 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:04:46 PM
Quote from: The Turkey Awakens on December 21, 2015, 12:41:51 PM
Neat paradox

Easily debunked though.

Using Google

You shouldn't need Google to know that reducing the mass of something by 1% doesn't magically reduce it 50%.

Oh I thought you meant the X=1 thing

The OP isn't a paradox lol

See: Potato Paradox

The x=1=.99... thing is basic calculus.

What calculus do you need to do to work it out?

It's an example of the use of limits.

Limits isn't calc

And he isn't using it to find a limit

Limits is one of the first things you learn in calc. Why are you even arguing that?

Because I learned it in Algebra II

We did some limits review at the beginning of calc but it wasn't anything I hadn't learned before

Desty · December 21, 2015, 01:41:31 PM

Quote from: Verbatim on December 21, 2015, 01:04:39 PM

you're so dumb

Why?

Turkey · December 21, 2015, 01:41:35 PM

Quote from: IngloriousWho98 on December 21, 2015, 01:39:32 PM

Quote from: The Turkey Awakens on December 21, 2015, 01:37:09 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:29:37 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:27:14 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:26:13 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:22:33 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:21:07 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:17:59 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:04:46 PM
Quote from: The Turkey Awakens on December 21, 2015, 12:41:51 PM
Neat paradox

Easily debunked though.

Using Google

You shouldn't need Google to know that reducing the mass of something by 1% doesn't magically reduce it 50%.

Oh I thought you meant the X=1 thing

The OP isn't a paradox lol

See: Potato Paradox

The x=1=.99... thing is basic calculus.

What calculus do you need to do to work it out?

It's an example of the use of limits.

Limits isn't calc

And he isn't using it to find a limit

Limits is one of the first things you learn in calc. Why are you even arguing that?

Because I learned it in Algebra II

We did some limits review at the beginning of calc but it wasn't anything I hadn't learned before

Okay, so you learned the fundamentals of calculus in algebra. This is a dumb conversation.

challengerX · December 21, 2015, 01:41:39 PM

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Verbatim · December 21, 2015, 01:42:25 PM

Quote from: The Turkey Awakens on December 21, 2015, 01:22:33 PM

The x=1=.99... thing is basic calculus.

could you shed some light on that for me

as far as i know, it's only "true" because it's convenient for us, right?
because the difference between the two numbers is so infinitesimally small, there is no humanly significant difference

if that's not true, and there really is just zero difference between the two figures, i dunno, i find that irksome

a lot of people will use the proof that there's nothing you can subtract from 1 to get .9...; therefore, they're the same

however, iirc, "imaginary numbers" are a relatively new concept, right? they're a convenience, because they allow us to find the square roots of negative numbers and shit like that

so knowing that, could we not come up with a new series of numbers that, when subtracted with a nonzero terminating decimal, end up with its repeating decimal twin? and we'll call it "W" or something

1 - W = .9...

i wouldn't be surprised if someone already came up with something like this

i mean, it would have no mathematical purpose whatsoever (other than to show up smug math professors)
but i mean, we could still do that, couldn't we

i'm not especially good at math, so if nothing i said makes any sense, i apologize

Turkey · December 21, 2015, 01:43:56 PM

I'm on my phone but I'd really like to address your post fully. I'll get back to you.

Ingy · December 21, 2015, 01:44:36 PM

Quote from: challengerX on December 21, 2015, 01:41:39 PM

Quote from: IngloriousWho98 on December 21, 2015, 01:29:37 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:27:14 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:26:13 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:22:33 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:21:07 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:17:59 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:04:46 PM
Quote from: The Turkey Awakens on December 21, 2015, 12:41:51 PM
Neat paradox

Easily debunked though.

Using Google

You shouldn't need Google to know that reducing the mass of something by 1% doesn't magically reduce it 50%.

Oh I thought you meant the X=1 thing

The OP isn't a paradox lol

See: Potato Paradox

The x=1=.99... thing is basic calculus.

What calculus do you need to do to work it out?

It's an example of the use of limits.

Limits isn't calc

And he isn't using it to find a limit
Get the fuck outta here

Go back to your memes nigger

challengerX · December 21, 2015, 01:45:37 PM

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Ingy · December 21, 2015, 01:45:45 PM

Quote from: The Turkey Awakens on December 21, 2015, 01:41:35 PM

Quote from: IngloriousWho98 on December 21, 2015, 01:39:32 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:37:09 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:29:37 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:27:14 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:26:13 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:22:33 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:21:07 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:17:59 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:04:46 PM
Quote from: The Turkey Awakens on December 21, 2015, 12:41:51 PM
Neat paradox

Easily debunked though.

Using Google

You shouldn't need Google to know that reducing the mass of something by 1% doesn't magically reduce it 50%.

Oh I thought you meant the X=1 thing

The OP isn't a paradox lol

See: Potato Paradox

The x=1=.99... thing is basic calculus.

What calculus do you need to do to work it out?

It's an example of the use of limits.

Limits isn't calc

And he isn't using it to find a limit

Limits is one of the first things you learn in calc. Why are you even arguing that?

Because I learned it in Algebra II

We did some limits review at the beginning of calc but it wasn't anything I hadn't learned before
Okay, so you learned the fundamentals of calculus in algebra. This is a dumb conversation.

Literally told you that I learned nothing about limits in calc

And you said that this shit was calc

challengerX · December 21, 2015, 01:46:50 PM

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Ingy · December 21, 2015, 01:47:27 PM

Quote from: challengerX on December 21, 2015, 01:45:37 PM

Quote from: IngloriousWho98 on December 21, 2015, 01:44:36 PM
Quote from: challengerX on December 21, 2015, 01:41:39 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:29:37 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:27:14 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:26:13 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:22:33 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:21:07 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:17:59 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:04:46 PM
Quote from: The Turkey Awakens on December 21, 2015, 12:41:51 PM
Neat paradox

Easily debunked though.

Using Google

You shouldn't need Google to know that reducing the mass of something by 1% doesn't magically reduce it 50%.

Oh I thought you meant the X=1 thing

The OP isn't a paradox lol

See: Potato Paradox

The x=1=.99... thing is basic calculus.

What calculus do you need to do to work it out?

It's an example of the use of limits.

Limits isn't calc

And he isn't using it to find a limit
Get the fuck outta here

Go back to your memes nigger
Says the little pea brain gook shut the fuck up.

Says someone who takes calc
What the fuck are you even doing

challengerX · December 21, 2015, 01:48:28 PM

This user has been blacklisted from posting on the forums. Until the blacklist is lifted, all posts made by this user have been hidden and require a Sep7agon^® SecondClass Premium Membership to view.

Ingy · December 21, 2015, 01:48:50 PM

Oh man
Challenger is telling me to shut up

Trembling in my shoes

Desty · December 21, 2015, 01:51:15 PM

Quote from: IngloriousWho98 on December 21, 2015, 01:48:50 PM

Oh man
Challenger is telling me to shut up

Trembling in my shoes

What? He hasn't said "shut up" in like three replies. Why are you bringing that up now?

Desty · December 21, 2015, 01:54:15 PM

Also, why isn't Verbatim responding?

Assassin 11D7 · December 21, 2015, 01:55:03 PM

Quote from: IngloriousWho98 on December 21, 2015, 01:45:45 PM

Quote from: The Turkey Awakens on December 21, 2015, 01:41:35 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:39:32 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:37:09 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:29:37 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:27:14 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:26:13 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:22:33 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:21:07 PM
Quote from: The Turkey Awakens on December 21, 2015, 01:17:59 PM
Quote from: IngloriousWho98 on December 21, 2015, 01:04:46 PM
Quote from: The Turkey Awakens on December 21, 2015, 12:41:51 PM
Neat paradox

Easily debunked though.

Using Google

You shouldn't need Google to know that reducing the mass of something by 1% doesn't magically reduce it 50%.

Oh I thought you meant the X=1 thing

The OP isn't a paradox lol

See: Potato Paradox

The x=1=.99... thing is basic calculus.

What calculus do you need to do to work it out?

It's an example of the use of limits.

Limits isn't calc

And he isn't using it to find a limit

Limits is one of the first things you learn in calc. Why are you even arguing that?

Because I learned it in Algebra II

We did some limits review at the beginning of calc but it wasn't anything I hadn't learned before
Okay, so you learned the fundamentals of calculus in algebra. This is a dumb conversation.

Literally told you that I learned nothing about limits in calc

And you said that this shit was calc

Limits are essential to calculus and are a large part of its theorems. Just because whatever program you're in decided to teach you about limits in algebra doesn't change that it is pretty universally accepted as part of calculus.

Verbatim · December 21, 2015, 09:06:40 PM

Quote from: The Turkey Awakens on December 21, 2015, 01:43:56 PM

I'm on my phone but I'd really like to address your post fully. I'll get back to you.

how about now

Turkey · December 22, 2015, 02:03:01 PM

Quote from: Verbatim on December 21, 2015, 09:06:40 PM

Quote from: The Turkey Awakens on December 21, 2015, 01:43:56 PM
I'm on my phone but I'd really like to address your post fully. I'll get back to you.
how about now

Sorry, out all night.

Quote

if that's not true, and there really is just zero difference between the two figures, i dunno, i find that irksome

Yeah, it's not a case of there being a negligibly small gap between .9... and 1, it's that they're literally the same thing. It is irksome, and that's why you'll never see it used that way.

Quote

so knowing that, could we not come up with a new series of numbers that, when subtracted with a nonzero terminating decimal, end up with its repeating decimal twin? and we'll call it "W" or something

1 - W = .9...

In any model using real numbers, W couldn't be anything but zero. In other number systems like those involving surreal numbers, which don't have much real-world application except in modeling and analysis, you can model a series of values that are nonzero but are infinitesimally small. Frankly I really suck at theoretical math so I can't talk about it authoritatively).

December 22, 2015, 05:14:19 PM

I'm going to wave my hands a bit here because if you want pointers to a whole list of formal proofs you can search .999 on wikipedia, and you can also read about the construction of decimal representations

On the arbitrary-ness of representation and couldn't we just invent a symbol for an infinitesimal number and similar lines of thought:
Decimals, unless specifically in some extraordinary, otherwise-stated context, are representations of real numbers. They are specifically constructed to represent real numbers. .333... is not an approximation of 1/3, or even a number arbitrarily close to 1/3, it is exactly 1/3. This is built into the definition of a decimal representation as the limit of a (possibly infinite) series. Otherwise no fraction whose divisor had prime factors other than 2 or 5 could ever be represented in decimal. A consequence is decimal representations aren't unique.

So we could deny that .3... = 1/3 and .9... = 1, but only by redefining the meaning of those representations and with consequences for our ability to represent arbitrary real numbers in decimal form.