The meaning of infinity

[untermensche]

Everything I've said in this thread can be found in the maths textbooks, so these ideas are hardly my "idiosyncrasies".

I guess you don't know what that word means. You don't know maths or basic English.

Ah well.

When people share arbitrary idiosyncrasies that doesn't make them less than arbitrary idiosyncrasies.

Mathematics is a lot of arbitrary definitions. It is entirely man-made. There is no real connection to the world. It is all ideal.

0.999... is an undefined entity.

The operation of unending 9's is defined but because it is unending the thing itself is always undefined.

It has no final value.

So you can arbitrarily say it is equal to 1.000...

That is meaningless.

Especially since it is moving ever closer and closer to 1.0000....

There is nothing else between it and 1.000...

Only an ever shrinking distance.

 

[Speakpigeon]

Everything I've said in this thread can be found in the maths textbooks, so these ideas are hardly my "idiosyncrasies".

I guess you don't know what that word means. You don't know maths or basic English.

Ah well.

When people share arbitrary idiosyncrasies that doesn't make them less than arbitrary idiosyncrasies.

Mathematics is a lot of arbitrary definitions. It is entirely man-made. There is no real connection to the world. It is all ideal.

0.999... is an undefined entity.

The operation of unending 9's is defined but because it is unending the thing itself is always undefined.

It has no final value.

So you can arbitrarily say it is equal to 1.000...

That is meaningless.

Especially since it is moving ever closer and closer to 1.0000....

There is nothing else between it and 1.000...

Only an ever shrinking distance.

So it all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite. Apparently, all you can conceive is the repeated step of adding one more digit after another, one at a time, for ever. That's not what the notation 0.999... means. It means an actual infinity of 9s. Normal people can conceive of that without batting an eyelid.

So, sure, it can only be meaningless to you. Just bad luck. Other people, normal people, can conceive of it and to them, therefore, 0.999... = 1 makes sense.

Don't worry, apparently you're not alone. There's a few like you. And they all get flustered that normal people should feel OK talking about the infinite as if it was there in the palm of their hands. Well, that's how we really feel about it, sorry!
EB

 

[untermensche]

Everything I've said in this thread can be found in the maths textbooks, so these ideas are hardly my "idiosyncrasies".

I guess you don't know what that word means. You don't know maths or basic English.

Ah well.

When people share arbitrary idiosyncrasies that doesn't make them less than arbitrary idiosyncrasies.

Mathematics is a lot of arbitrary definitions. It is entirely man-made. There is no real connection to the world. It is all ideal.

0.999... is an undefined entity.

The operation of unending 9's is defined but because it is unending the thing itself is always undefined.

It has no final value.

So you can arbitrarily say it is equal to 1.000...

That is meaningless.

Especially since it is moving ever closer and closer to 1.0000....

There is nothing else between it and 1.000...

Only an ever shrinking distance.

So it all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite.

You can't even imagine an infinity.

All you can do is pretend it completes.

But it doesn't.

You can't show me where the infinite string of "9's" completes.

0.9999.... has no final value. It is an infinite operation not a value.

It is undefined. It is not a part of any line.

 

[DBT]

An infinity is defined as something that never completes.

Is that so? Who (besides you) defines infinity as ''something that never completes?''

Does an infinity complete?

Show me one that completes.

Show me one that has a finish point.

An infinite universe, infinite space - if such is the case - is complete. There is no more to it. More is not necessary.

 

[Speakpigeon]

So it all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite.

You can't even imagine an infinity.

All you can do is pretend it completes.

But it doesn't.

You can't show me where the infinite string of "9's" completes.

0.9999.... has no final value. It is an infinite operation not a value.

It is undefined. It is not a part of any line.

I didn't talk of "imagining". That's for the little kiddies, telling stories of the boogeyman. We're grown-ups here.

Yes, I agree, we can't literally imagine infinity. We can't form any visual representation of it. Of course not. We small brains, you know.

You're really a very poor reader. A child and a poor reader. Or extremely intellectual dishonest.

So read again. It all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite.

And reply to that. Not to something you like to imagine I said.
EB

 

[fromderinside]

You are giving him credit he doesn't deserve. He neither likes nor imagines what you said. He simply tries to justify his udderances and bladders. Why waste time?

Do you believe that answering him leads anywhere?

 

[Speakpigeon]

You are giving him credit he doesn't deserve. He neither likes nor imagines what you said.

I'm sure he can't imagine infinities. We all seem to agree on that.

And I said he can conceive of it. So?

So, I fail to see what credit I let slip. I thought I was pretty harsh.

He simply tries to justify his udderances and bladders. Why waste time?

Do you believe that answering him leads anywhere?

I've explained elsewhere exactly why I think we may all want to try and change his mind.

Also, I'm sure you understand people only do anything with themselves in mind. So, yes, sure, I think answering leads. For example, trying to explain to others you're really explaining to yourself. Which I think is smart. It's really talking to yourself without looking like an idiot.

I often envy all the idiots walking the streets and talking on their cellphones oblivious of the world around them, which is very nearly everybody these days. I envy them because I could have one and pretend to be talking to somebody while in reality talking to myself, vehemently, with wild gestures as if talking to some moron. In fact, you can pretty much act like a madman without anybody noticing. Fun.

Also, I'm absolutely sure he is what I say. I've pinned him down. Maybe, this is what he was looking for. Somebody to explain to him what on Earth was going on.

He simply tries to justify his udderances and bladders.

Very good spoonerism, by the way.

Udderly sweet.

Not new, though... Just Giggled it.
EB

 

[untermensche]

Does an infinity complete?

Show me one that completes.

Show me one that has a finish point.

An infinite universe, infinite space - if such is the case - is complete. There is no more to it. More is not necessary.

Only something finite can be complete.

That is why you have the (...).

It means it never is complete.

It has no final value.

 

[untermensche]

So it all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite.

You can't even imagine an infinity.

All you can do is pretend it completes.

But it doesn't.

You can't show me where the infinite string of "9's" completes.

0.9999.... has no final value. It is an infinite operation not a value.

It is undefined. It is not a part of any line.

I didn't talk of "imagining". That's for the little kiddies, telling stories of the boogeyman. We're grown-ups here.

Yes, I agree, we can't literally imagine infinity. We can't form any visual representation of it. Of course not. We small brains, you know.

You're really a very poor reader. A child and a poor reader. Or extremely intellectual dishonest.

So read again. It all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite.

And reply to that. Not to something you like to imagine I said.
EB

In all that muck you make one point.

I have to wade through 99% of shit to get to your one point.

You wonder why I don't bother.

It all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite

You have some delusion that calling an infinite series of 9's a "decimal expansion" you make the 9's complete somehow. Magical thinking.

They have been specifically defined to never complete.

It is not a value. It is something that has no final value. All that is defined is an infinite operation. That is all that could ever be defined. No infinity can be defined. They are works in progress not final products.

I do not share your delusions.

There is no way to make the 9's complete.

No infinity can complete. That is what makes it an infinity.

 

[untermensche]

You are giving him credit he doesn't deserve. He neither likes nor imagines what you said. He simply tries to justify his udderances and bladders. Why waste time?

Do you believe that answering him leads anywhere?

You got absolutely nothing to say on any matter.

This is why we must endure shit like this!

Make a fucking real point on topic.

Can you?

 

[Speakpigeon]

I didn't talk of "imagining". That's for the little kiddies, telling stories of the boogeyman. We're grown-ups here.

Yes, I agree, we can't literally imagine infinity. We can't form any visual representation of it. Of course not. We small brains, you know.

You're really a very poor reader. A child and a poor reader. Or extremely intellectual dishonest.

So read again. It all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite.

And reply to that. Not to something you like to imagine I said.
EB

In all that muck you make one point.

I have to wade through 99% of shit to get to your one point.

You wonder why I don't bother.

It all comes down to your personal inability to conceive of 0.999... as a decimal expansion that's actually infinite

You have some delusion that calling an infinite series of 9's a "decimal expansion" you make the 9's complete somehow. Magical thinking.

They have been specifically defined to never complete.

It is not a value. It is something that has no final value. All that is defined is an infinite operation. That is all that could ever be defined. No infinity can be defined. They are works in progress not final products.

I do not share your delusions.

There is no way to make the 9's complete.

No infinity can complete. That is what makes it an infinity.

What delusion? I don't have to believe anything in that respect. All I do is conceive of actual infinities. I don't have to believe in them. No delusion there. Conceiving of actual infinities is somewhat like imagining without the image, imagining in the abstract, so to speak. You won't know what it is but please don't tell me you believe everything you're able to imagine!

I can do it, you can't. End of discussion.

Koko had more words.
EB

 

[untermensche]

All I do is conceive of actual infinities. I don't have to believe in them.

In other words: You pretend an infinity can complete so it somehow does.

Your position is total shit!

It is a total waste of time.

An infinity is something like the positive integers.

Since your have this magic power of conceiving tell me what the final integer is in your completed conception.

 

[Speakpigeon]

All I do is conceive of actual infinities. I don't have to believe in them.

In other words: You pretend an infinity can complete so it somehow does.

Your position is total shit!

It is a total waste of time.

An infinity is something like the positive integers.

Since your have this magic power of conceiving tell me what the final integer is in your completed conception.

End of the discussion. I can conceive of infinities you can't. There's nothing to discuss with you. Get yourself an upgrade.
EB

 

[untermensche]

All I do is conceive of actual infinities. I don't have to believe in them.

In other words: You pretend an infinity can complete so it somehow does.

Your position is total shit!

It is a total waste of time.

An infinity is something like the positive integers.

Since your have this magic power of conceiving tell me what the final integer is in your completed conception.

End of the discussion. I can conceive of infinities you can't. There's nothing to discuss with you. Get yourself an upgrade.
EB

I understand.

You want to hide in the corner with your pathetic delusions.

You do not want to defend your ideas like I defend mine.

Ideas like an infinity of time is the time needed to recite all the integers.

At any pace.

Something you claim completes.

 

[Kharakov]

Hence, 0.999... = 1.

To prevent confusion, shouldn't mathematicians stick to explaining this concept in binary?

 

[Artemus]

Hence, 0.999... = 1.

To prevent confusion, shouldn't mathematicians stick to explaining this concept in binary?

How would 0.111... = 1 be an improvement?

 

[DBT]

Does an infinity complete?

Show me one that completes.

Show me one that has a finish point.

An infinite universe, infinite space - if such is the case - is complete. There is no more to it. More is not necessary.

Only something finite can be complete.

That is why you have the (...).

It means it never is complete.

It has no final value.

Not according to the given definition of Infinity. You appear to be formulating your own definition.

 

[untermensche]

Only something finite can be complete.

That is why you have the (...).

It means it never is complete.

It has no final value.

Not according to the given definition of Infinity. You appear to be formulating your own definition.

The definition of infinite is without end.

Like the positive integers.

No end.

No final integer.

 

[Kharakov]

Hence, 0.999... = 1.

To prevent confusion, shouldn't mathematicians stick to explaining this concept in binary?

How would 0.111... = 1 be an improvement?

.111... + .999... = 10

 

[Artemus]

How would 0.111... = 1 be an improvement?

.111... + .999... = 10

A very elegant result!