You deserve to suffer from another pandemic.

[jvanname]

Your "help" is not needed, get a job and stop trying lowlife scumbag scams.

F@#$ off. I already said that I will no longer make an effort to prevent the next 5 pandemics because people need an @$$ whooping more than anything else. What the f@#$ are you going on and on about? Oh wait. You are completely incapable of thinking or communicating anything that remotely makes any sense because you are extremely mentally ill just like most Bitcoiners are.

-Joseph Van Name Ph.D.

You are angry because you couldn't scam anyone, if mental illness = too smart for you to get money out of us then I'm the most retarded one here. Please don't be angry mister scammer, there will be plenty of missed opportunities for you.

The cryptocurrency community has the habit of labelling everything that is legitimate as a scam, and they also gobble everything that every scammer sells them. It is really quite sad. But what would you expect when Bitcoin does not even have a mining algorithm that is designed to advance science?

-Joseph Van Name Ph.D.

[alterra57]

Your "help" is not needed, get a job and stop trying lowlife scumbag scams.

F@#$ off. I already said that I will no longer make an effort to prevent the next 5 pandemics because people need an @$$ whooping more than anything else. What the f@#$ are you going on and on about? Oh wait. You are completely incapable of thinking or communicating anything that remotely makes any sense because you are extremely mentally ill just like most Bitcoiners are.

-Joseph Van Name Ph.D.

You are angry because you couldn't scam anyone, if mental illness = too smart for you to get money out of us then I'm the most retarded one here. Please don't be angry mister scammer, there will be plenty of missed opportunities for you.

The cryptocurrency community has the habit of labelling everything that is legitimate as a scam, and they also gobble everything that every scammer sells them. It is really quite sad. But what would you expect when Bitcoin does not even have a mining algorithm that is designed to advance science?

-Joseph Van Name Ph.D.

You're talking gibberish again. You don't see us labeling Bitcoin a scam, do you? Your project however is one, and a low effort scam at that. Who told you Bitcoin needs to advance science? It's simple math intertwined with an idea, it does not help science but it helps human freedom and worlds economy. F your science you bot, get a job and stop posting nonsense.

[jvanname]

Your "help" is not needed, get a job and stop trying lowlife scumbag scams.

F@#$ off. I already said that I will no longer make an effort to prevent the next 5 pandemics because people need an @$$ whooping more than anything else. What the f@#$ are you going on and on about? Oh wait. You are completely incapable of thinking or communicating anything that remotely makes any sense because you are extremely mentally ill just like most Bitcoiners are.

-Joseph Van Name Ph.D.

You are angry because you couldn't scam anyone, if mental illness = too smart for you to get money out of us then I'm the most retarded one here. Please don't be angry mister scammer, there will be plenty of missed opportunities for you.

The cryptocurrency community has the habit of labelling everything that is legitimate as a scam, and they also gobble everything that every scammer sells them. It is really quite sad. But what would you expect when Bitcoin does not even have a mining algorithm that is designed to advance science?

-Joseph Van Name Ph.D.

You're talking gibberish again. You don't see us labeling Bitcoin a scam, do you? Your project however is one, and a low effort scam at that. Who told you Bitcoin needs to advance science? It's simple math intertwined with an idea, it does not help science but it helps human freedom and worlds economy. F your science you bot, get a job and stop posting nonsense.

You are stupid. You hate science because you are stupid. And the other day, I was talking to your mother, and she told me that you were born out of her anus.

-Joseph Van Name Ph.D.

[larry_vw_1955]

I have not heard of Norman Wildberger, but there are some mathematicians who criticize basic structures like the real numbers or even the natural numbers. And they do not have much of a reason to do so.

We cannot even find an inconsistency with extremely large cardinals, so these extremely large cardinals probably exist. So since extremely large cardinals work just fine in practice, we should accept that there is probably some legitimacy to them and to the real numbers as well. One can say that the real numbers and large cardinals may exist but only in a countable model (this is guaranteed by the Lowenhein Skolem theorem), but that unnecessarily complicates the issue. I do not see any reason why large cardinals would evade all attempts at finding an inconsistency while they only exist in a countable model and cannot extend to larger models.

So far, large cardinal axioms have not helped with problems like the Twin prime conjecture, but I have used rank-into-rank cardinals to produce some falsifiable statements about finite algebraic structures, and I have ran the computations trying to falsify these statements myself, but I have not been able to find any inconsistency even after about a million attempts on a computer. Large cardinal axioms may not allow us to prove everything like the twin prime conjecture, and we may not be able to keep on adding stronger large cardinal axioms since mathematicians have not been able to formulate large cardinal axioms much higher than rank-into-rank; there are some cardinals axioms that are much stronger since they imply models of rank-into-rank, but these stronger axioms are not consistent with the axiom-of-choice. If we do not abandon the axiom of choice, then the only way that I know to make larger cardinals is to take something like limits of cardinals, but this idea does not seem to go very far since we do not know how to get them to be as strong as the axioms that are inconsistent with the axiom of choice.

thanks Dr. Joseph. You are truly amazing in your understanding of deep issues in mathematics. I doubt someone like Norman Wildberger even heard of the Lowenhein Skolem theorem I surely hadn't! For you to be able to talk about these type of issues, it's really a rare treat since there's so few people in the world that even know about these things much less have an actual understanding of them. pure gold. is what you are.

I'm afraid people here in this forum have treated you very badly and they don't appreciate someone like you at all I hope you wont let them get you down because you have a tremendous mind and thanks for sharing those amazing mathematical insights I have never met anyone like you that knew so much about foundations of mathematics. no one. not even college phDs.

if foundations of math is not your specialty area then i'm even more at a loss for words since you have such a deep knowlege in it. wishing you the best. 

[alterra57]

Your "help" is not needed, get a job and stop trying lowlife scumbag scams.

F@#$ off. I already said that I will no longer make an effort to prevent the next 5 pandemics because people need an @$$ whooping more than anything else. What the f@#$ are you going on and on about? Oh wait. You are completely incapable of thinking or communicating anything that remotely makes any sense because you are extremely mentally ill just like most Bitcoiners are.

-Joseph Van Name Ph.D.

You are angry because you couldn't scam anyone, if mental illness = too smart for you to get money out of us then I'm the most retarded one here. Please don't be angry mister scammer, there will be plenty of missed opportunities for you.

The cryptocurrency community has the habit of labelling everything that is legitimate as a scam, and they also gobble everything that every scammer sells them. It is really quite sad. But what would you expect when Bitcoin does not even have a mining algorithm that is designed to advance science?

-Joseph Van Name Ph.D.

You're talking gibberish again. You don't see us labeling Bitcoin a scam, do you? Your project however is one, and a low effort scam at that. Who told you Bitcoin needs to advance science? It's simple math intertwined with an idea, it does not help science but it helps human freedom and worlds economy. F your science you bot, get a job and stop posting nonsense.

You are stupid. You hate science because you are stupid. And the other day, I was talking to your mother, and she told me that you were born out of her anus.

-Joseph Van Name Ph.D.

Sent an email to the person you're impersonating, let's see what he has to say about this scammery. I doubt that will stop you from being schizophrenic tho, I feel sorry for your family and the one who got you an internet connection, what a parasitic little critter you are.

[jvanname]

Your "help" is not needed, get a job and stop trying lowlife scumbag scams.

F@#$ off. I already said that I will no longer make an effort to prevent the next 5 pandemics because people need an @$$ whooping more than anything else. What the f@#$ are you going on and on about? Oh wait. You are completely incapable of thinking or communicating anything that remotely makes any sense because you are extremely mentally ill just like most Bitcoiners are.

-Joseph Van Name Ph.D.

You are angry because you couldn't scam anyone, if mental illness = too smart for you to get money out of us then I'm the most retarded one here. Please don't be angry mister scammer, there will be plenty of missed opportunities for you.

The cryptocurrency community has the habit of labelling everything that is legitimate as a scam, and they also gobble everything that every scammer sells them. It is really quite sad. But what would you expect when Bitcoin does not even have a mining algorithm that is designed to advance science?

-Joseph Van Name Ph.D.

You're talking gibberish again. You don't see us labeling Bitcoin a scam, do you? Your project however is one, and a low effort scam at that. Who told you Bitcoin needs to advance science? It's simple math intertwined with an idea, it does not help science but it helps human freedom and worlds economy. F your science you bot, get a job and stop posting nonsense.

You are stupid. You hate science because you are stupid. And the other day, I was talking to your mother, and she told me that you were born out of her anus.

-Joseph Van Name Ph.D.

Sent an email to the person you're impersonating, let's see what he has to say about this scammery. I doubt that will stop you from being schizophrenic tho, I feel sorry for your family and the one who got you an internet connection, what a parasitic little critter you are.

You were born out of the anus. And do you know who else will be born out the anus? That is right. The anti-christ will be born out of the anus because that is a demonic anti-miracle performed by Lucifer.

-Joseph Van Name Ph.D.

[alterra57]

Your "help" is not needed, get a job and stop trying lowlife scumbag scams.

F@#$ off. I already said that I will no longer make an effort to prevent the next 5 pandemics because people need an @$$ whooping more than anything else. What the f@#$ are you going on and on about? Oh wait. You are completely incapable of thinking or communicating anything that remotely makes any sense because you are extremely mentally ill just like most Bitcoiners are.

-Joseph Van Name Ph.D.

You are angry because you couldn't scam anyone, if mental illness = too smart for you to get money out of us then I'm the most retarded one here. Please don't be angry mister scammer, there will be plenty of missed opportunities for you.

The cryptocurrency community has the habit of labelling everything that is legitimate as a scam, and they also gobble everything that every scammer sells them. It is really quite sad. But what would you expect when Bitcoin does not even have a mining algorithm that is designed to advance science?

-Joseph Van Name Ph.D.

You're talking gibberish again. You don't see us labeling Bitcoin a scam, do you? Your project however is one, and a low effort scam at that. Who told you Bitcoin needs to advance science? It's simple math intertwined with an idea, it does not help science but it helps human freedom and worlds economy. F your science you bot, get a job and stop posting nonsense.

You are stupid. You hate science because you are stupid. And the other day, I was talking to your mother, and she told me that you were born out of her anus.

-Joseph Van Name Ph.D.

Sent an email to the person you're impersonating, let's see what he has to say about this scammery. I doubt that will stop you from being schizophrenic tho, I feel sorry for your family and the one who got you an internet connection, what a parasitic little critter you are.

You were born out of the anus. And do you know who else will be born out the anus? That is right. The anti-christ will be born out of the anus because that is a demonic anti-miracle performed by Lucifer.

-Joseph Van Name Ph.D.

Whatever sails your schizo delusions mister impersonator.  Bow down and kiss my feet, thank me for allowing you to interact with me.

[jvanname]

Whatever sails your schizo delusions mister impersonator.  Bow down and kiss my feet, thank me for allowing you to interact with me.

I will never bow down to you because you are garbage.

-Joseph Van Name Ph.D.

[alterra57]

Whatever sails your schizo delusions mister impersonator.  Bow down and kiss my feet, thank me for allowing you to interact with me.

I will never bow down to you because you are garbage.

-Joseph Van Name Ph.D.

Hahahahahahaha, the scammer is mad he's getting called out of his mother in laws basement...a disappointment to her and your own.

[jvanname]

Whatever sails your schizo delusions mister impersonator.  Bow down and kiss my feet, thank me for allowing you to interact with me.

I will never bow down to you because you are garbage.

-Joseph Van Name Ph.D.

Hahahahahahaha, the scammer is mad he's getting called out of his mother in laws basement...a disappointment to her and your own.

Bitcointalk is filled with harassers who hate science, education, and love harassing others. How sad! Bitcointalk is filled with trash humans. But since Bitcoin has a mining algorithm that was never designed to advance science, Bitcoin attracts mainly trash humans.

-Joseph Van Name Ph.D.

[alterra57]

Whatever sails your schizo delusions mister impersonator.  Bow down and kiss my feet, thank me for allowing you to interact with me.

I will never bow down to you because you are garbage.

-Joseph Van Name Ph.D.

Hahahahahahaha, the scammer is mad he's getting called out of his mother in laws basement...a disappointment to her and your own.

Bitcointalk is filled with harassers who hate science, education, and love harassing others. How sad! Bitcointalk is filled with trash humans. But since Bitcoin has a mining algorithm that was never designed to advance science, Bitcoin attracts mainly trash humans.

-Joseph Van Name Ph.D.

The dung fly has spoken, the one who's trying to scam people has spoken.

[jvanname]

Whatever sails your schizo delusions mister impersonator.  Bow down and kiss my feet, thank me for allowing you to interact with me.

I will never bow down to you because you are garbage.

-Joseph Van Name Ph.D.

Hahahahahahaha, the scammer is mad he's getting called out of his mother in laws basement...a disappointment to her and your own.

Bitcointalk is filled with harassers who hate science, education, and love harassing others. How sad! Bitcointalk is filled with trash humans. But since Bitcoin has a mining algorithm that was never designed to advance science, Bitcoin attracts mainly trash humans.

-Joseph Van Name Ph.D.

The dung fly has spoken, the one who's trying to scam people has spoken.

Again, cryptocurrency chlurmcklets have absolutely no ability to distinguish between scams and non-scams. And I talked to your father as well, and he confirmed that you indeed were born out your mother's anus. You hate science because science says that people cannot be born out of the anus, but you proved science wrong because your hatred of science was that strong and powerful.

-Joseph Van Name Ph.D.

[larry_vw_1955]

Sent an email to the person you're impersonating, let's see what he has to say about this scammery. I doubt that will stop you from being schizophrenic tho, I feel sorry for your family and the one who got you an internet connection, what a parasitic little critter you are.

You're literally talking to him right here in this thread. Why would you need to send an email to him? Explain.

[alterra57]

Sent an email to the person you're impersonating, let's see what he has to say about this scammery. I doubt that will stop you from being schizophrenic tho, I feel sorry for your family and the one who got you an internet connection, what a parasitic little critter you are.

You're literally talking to him right here in this thread. Why would you need to send an email to him? Explain.

This one is fake, can't you tell? He won't prove he is the real one unless you send him money.

[jvanname]

Sent an email to the person you're impersonating, let's see what he has to say about this scammery. I doubt that will stop you from being schizophrenic tho, I feel sorry for your family and the one who got you an internet connection, what a parasitic little critter you are.

You're literally talking to him right here in this thread. Why would you need to send an email to him? Explain.

alterra57 is a moron. And the Lowenheim-Skolem theorem (both the upwards and downwards versions) are standard results. To get a countable elementary substructure of your structure, you construct an algebra consisting of all your Skolem functions, and then subalgebras of this algebraic structure will always be elementary substructures. One can get a subalgebra of arbitrary cardinality smaller than your original algebra simply by taking the closure of a subset of whatever cardinality you want. To get an elementary equivalent structure of large cardinalities, you would take ultrapowers of your original structure by a large enough ultrafilter (I think you also may need regularity).

Sent an email to the person you're impersonating, let's see what he has to say about this scammery. I doubt that will stop you from being schizophrenic tho, I feel sorry for your family and the one who got you an internet connection, what a parasitic little critter you are.

You're literally talking to him right here in this thread. Why would you need to send an email to him? Explain.

This one is fake, can't you tell? He won't prove he is the real one unless you send him money.

Everything you say is f@#$ing stupid because you are stupid. No. I am not going to do anything for you for free. Why the f@#$ would I do that? You are a piece of trash, and Jesus hates you.

-Joseph Van Name Ph.D.

[alterra57]

Damn it, someone suffers from multiple brain injuries, or were you born this way? 

[jvanname]

Damn it, someone suffers from multiple brain injuries, or were you born this way? 

Everything you say is incredibly offensive. You are a horrible person. I would not be surprised if you were both a terrorist and a Nazi.

-Joseph Van Name Ph.D.

[alterra57]

Damn it, someone suffers from multiple brain injuries, or were you born this way? 

Everything you say is incredibly offensive. You are a horrible person. I would not be surprised if you were both a terrorist and a Nazi.

-Joseph Van Name Ph.D.

World is a nasty place snowflake, grow a pair.

[jvanname]

Damn it, someone suffers from multiple brain injuries, or were you born this way? 

Everything you say is incredibly offensive. You are a horrible person. I would not be surprised if you were both a terrorist and a Nazi.

-Joseph Van Name Ph.D.

World is a nasty place snowflake, grow a pair.

I already have. That is why I am committed to ensuring that you all get your 5 pandemics that you f@#$ing deserve. It is a royal shame that people like you take pride in your evil. You live like hell on Earth so that you can spend the afterlife in Hell. You are pathetic.

-Joseph Van Name Ph.D.

[larry_vw_1955]

This one is fake, can't you tell?

so there's been other fake ones? where? how? explain. i can't tell anything.

He won't prove he is the real one unless you send him money.

does that sound like what someone would say if you emailed them telling them some scammer is impersonating them on an online forum? lets be reasonable here...

alterra57 is a moron. And the Lowenheim-Skolem theorem (both the upwards and downwards versions) are standard results. To get a countable elementary substructure of your structure, you construct an algebra consisting of all your Skolem functions, and then subalgebras of this algebraic structure will always be elementary substructures. One can get a subalgebra of arbitrary cardinality smaller than your original algebra simply by taking the closure of a subset of whatever cardinality you want. To get an elementary equivalent structure of large cardinalities, you would take ultrapowers of your original structure by a large enough ultrafilter (I think you also may need regularity).

thanks Dr. Joseph. another solid. i'm still trying to wrap my head around the concept of rank-into-rank cardinals my poor mind just can't concieve of the concept it seems so bizarre. i doubt most people have any idea about the topic even mathematicians. professional ones. but it's definitely an interesting topic and i'm glad that you took an interest in it and really know your stuff!