Problem with Cantors Diagonalization Proof.

[Brian_G]

This seems to tell me to accept completed infinities.

The number 42 is, in "The Hitchhiker's Guide to the Galaxy", calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no one knows what the question is. Thus, to calculate the Ultimate Question, a special computer the size of a small planet was built from organic components and named "Earth". The Ultimate Question "What do you get when you multiply six by nine" is found by Arthur Dent and Ford Prefect in the second book of the series, "The Restaurant at the End of the Universe".

The fourth book in the series, the novel "So Long, and Thanks for All the Fish", contains 42 chapters. According to the novel, 42 is the street address of Stavromula Beta.

 

[Brian_G]

An electron and a proton are drinking in a bar. Proton: "Your round." Electron: "Are you sure?" Proton: "I'm positive." ...

 

[talanum1]

I don't know how to combine them.

 

[Brian_G]

I don't know how to combine them.

Thanks for trying to adjust.
We can't combine, only the Mods. (Seems there's little need to for the other old ones though.)

For your new ones, make one thread per subject
Eg: something like "Particle Physics - some concerns"
and
"Science / math theories that seem to be off"


With practice you should be able to keep it clear which specific interest you're replying to.

 

[FiestaST]

Lol I said yonks ago I am not here for "friends", my ego can handle the snowflakes here.

If you don't "like me" you know what to do....

Special attention to bra Enzo & bra JVD

 

[Brian_G]

Maybe if we were given a button that ignores twitter posts :-/

 

[RedViking]

No one is worse than Fiesta, no one, he is the OG spambot.
I used to just think his efforts were quite endearing now I just find the masses of often half interesting links fkn annoying, especially if it's a thread that I actually am interested in. He has a top bloke but fck me only post the diamonds not everything with a keyword related to whatever topic it is.
Rant over, waits for incoming @FiestaST to tell me to go fk myself

Sorry @FiestaST , airborne is rukking dam here. It is not nearly as bad**

**TsCs applies.

 

[talanum1]

Numberphile makes a distinction between a finite unknown constant k and an infinite number. No matter how large you make k it would never be equivalent to an infinite number. So here you would have a problem by stating it works for every finite number k.

 

[Brian_G]

@talanum1 , why on earth are you still not checking with the bot first?? Every time you are wrong...

That distinction actually supports Cantor, not your objection: diagonalization only requires the rule to hold for every finite k, because an infinite sequence is defined as a function on the finite naturals — it never requires or uses an “infinite k,” which is not a number in the first place.

 

[dabean]

Phuck.

As if anyone here cares more than me.

 

[Brian_G]

Phuck.

As if anyone here cares more than me.

You're saying nothing more can be done?

 

[dabean]

You're saying nothing more can be done?

No, just that we can’t give up.

Harsh as it may sound.

 

[talanum1]

"because an infinite sequence is defined as a function on the finite naturals"

You can't complete the sequence.

 

[Brian_G]

An infinite sequence is not something you “complete” — it is the rule that assigns a value to each finite natural number; completion is a category error, not a mathematical requirement.

 

[talanum1]

You need to be able to write down an infinite list - impossible.

 

[Brian_G]

You don’t need to write down an infinite list — mathematics routinely defines infinite objects by finite rules (like “an=1/na_n = 1/nan=1/n”); requiring physical write-down would invalidate almost all of modern math, including real numbers themselves.

Any(?) further response may be delayed a day or two.

 

[dabean]

Any(?) further response may be delayed a day or two.

I’m struggling to come up with a response too.

Breaking maths, logic, and the standard model normally tells people that they’re wrong. Not in this case.

It’s like talking to a flat-earther.

 

[Brian_G]

It’s like talking to a flat-earther.

Maybe he's a combination, we're all individual

He'll have to find interaction without me now though

 

[dabean]

I’m not going anywhere.

While he has tangentially lost his sh*t about symptoms he thinks he doesn’t have, banning him like every other platform is not the way.

We’re all adults here

 

[Brian_G]

I’m not going anywhere.

While he has tangentially lost his sh*t about symptoms he thinks he doesn’t have, banning him like every other platform is not the way.

We’re all adults here

Couldn't agree more. Quite proud of us regulars, but it's going to be a matter of everyone remaining patiently considerate and that's unlikely..