alterra57-F@#$ you.
This one is fake, can't you tell?
so there's been other fake ones? where? how? explain. i can't tell anything.
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!
Yeah. There is a grand total of zero people who are currently actively researching the algebras of rank-into-rank embeddings, so too few people know about rank-into-rank embeddings.
-Joseph Van Name Ph.D.
This one is fake, can't you tell?
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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...Quote from: jvanname
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!
-Joseph Van Name Ph.D.
For someone so smart you get your ego touched a bit too fast, look at that, a scammer with an ego. Your scams won't work, try xrpchat, there's plenty of restards over there.
-Joseph Van Name Ph.D.
Oh great intelligent one, tell me, why are you trying to scam people? Have you ever seen your trust score?
Most people on this site are morons, and that includes you. And most people in general are worthless morons. The trust score is the opinion of morons who know absolutely nothing about anything. Bitcoin attracts morons like you because Bitcoin has a mining algorithm that was never designed to advance science. And since humanity consists of such worthless asinine morons, it is not worth it for me to make any more effort to prevent the next 5 pandemics.
-Joseph Van Name Ph.D.