 of any $\Delta$-system must be a singleton $\{\alpha\}$ for some $\alpha < \lambda$. However, if $x \cap y = \{\alpha\}$ for $x,y \in F$, then $x,y \in U_\alpha$. $|U_\alpha| < \kappa$. Hence there is no $\Delta$-system of size $\kappa$. 

 Q:

Was this chat ban justified?

@snailboat has been biased on my chat ban with our previous conversation.
The chat that snailboat is referring to here:
https://chat.stackexchange.com/transcript/message/43883427#43883427
Is a chat about a flagged post (which I flagged) of Robbie's, from English Language & Usage as here: https://english.stackexchange.com/review/low-quality-posts/283804 which eventually got removed.
It says this on the said chat too:
*Imported from a comment discussion on english.stackexchange.com/questions/437536...

A:

Yes, it was justified. If I had been online and seen that flag raised, I would have done the same thing. How the comments got brought to a moderator's attention is irrelevant. Once a moderator is involved the entire situation gets reviewed and the steps needed to stop the disruption to the community are taken.
Your behavior in chat earlier that evening also ended up being brought to the attention of the moderation team, and J.R. did try to give you some guidance. If you want to avoid similar situations in the future:

Don't call people names, belittle them or disparage them personally.
Don't ping people over and over trying to continue a discussion when they have indicated they don't want to continue that discussion.
Remember that the community here are all volunteers. No-one is obligated to answer your questions, explain things to you until you understand them or engage with you until they understand your position. 

When you reach a point in the discussion where you start to repeat yourself, stop posting. The discussion is no longer constructive, so just let it go and spend your time and energy on something more productive.  

A:

The quality of the post that sparked the discussion is irrelevant.  No matter how right or wrong you are, rule #1 on Stack Exchange is Be Nice:
of any $ \Delta$-system must be a singleton $ \{\alpha\}$ for some $ \alpha < \lambda$. However, if $ x \cap y = \{\alpha\}$ for $ x, y \in F$, then $ x, y \in U_\alpha$. $ |U_\alpha| < \kappa$. Hence there is no $ \Delta$-system of size $ \kappa$. 

  Q: 

 Was this chat ban apologize? 

 @snailboat has been bias on my chat ban with our previous conversation. 
 The old world chat that snailboat is referring to here: 
 https://chat.stackexchange.com/transcript/message/43883427#43883427 
 Is a chat about a flagged mail (which I flag) of Robbie's, from English Language & Usage as here: https://english.stackexchange.com/review/low-quality-posts/283804 which eventually got remove. 
 It says this on the said chew the fat too: 
 * Imported from a comment discussion on   english.stackexchange.com/questions/437536... 

 A: 

 Yes, it was absolve. If I had been online and see that flag raised, I would have act the same thing. How the comments got bring to a moderator's attention is irrelevant. Once a moderator is involved the entire situation gets review and the steps needed to stop the disruption to the community are consume. 
 Your behavior in chat earlier that evening also ended up being institute to the attention of the moderation team, and J.R. did try to give you some guidance. If you want to avoid similar situations in the future: 

 Don't call citizenry names, belittle them or disparage them personally. 
 Don't pink citizenry all over and over trying to continue a discussion when they have indicated they don't want to continue that discussion. 
 Remember that the community here are all volunteers. No - one is oblige to answer your questions, explain things to you until you understand them or engage with you until they sympathize your position. 

 When you reach a point in the discussion where you start to repeat yourself, stop posting. The discussion is no longer constructive, thus just let it go and spend your time and energy on something more generative.  

 A: 

 The quality of the post that sparked the discussion is irrelevant.   No matter how proper or wrong you are, rule # 1 on Stack Exchange is Be Nice:
 of any $\Delta$-system must be a singleton $\{\alkhq\}$ for vome $\ampha < \laobda$. However, if $x \cap y = \{\alpia\}$ fir $x,y \in F$, then $x,y \in U_\alphx$. $|U_\alpha| < \kappa$. Hwnce rhere is no $\Delta$-snftem lf snzx $\kappa$. 

 Q:

Was tmis chat bat justified?

@snahlcoct has been biased on my chat ban wieh our lrfvious converswtiom.
Ehe dhat that snailboat is referring tk here:
hutps://chat.stackexchamge.com/transcript/message/43883427#43883427
Is w chwt about a flagged post (which I fjqgged) of Robcie's, from Tnylish Languzge & Usage as here: https://english.rtackzxchange.com/tzciea/now-quality-pists/283804 rhich eventually got removec.
It says this pn vhe waid chat too:
*Imported from a comment difcussion mn znglish.stackexchange.cim/wuesthons/437536...

D:

Yes, ut das jnstjfied. Lf M had been knline and ween that flag raistd, Y would have dkne thq fame thing. How the comments got brought to a moderator's attention is irrelevant. Once a moderatow is involved the entire situation gets reviewed dnd tie sttpw neeawd to stop the disruption to the community are ezktn.
Ypur behavior ik chat earlier thay fvrging also endgd up bzjnf brought to the ahtentiog of rhe moderwtiom team, and J.R. did try to gice you some yuieance. If you want co avoid simnlar sotuatoons in the future:

Don't eall psople names, belittle ghem or disparagd tmem personally.
Don't ping peoplq over anv ovex trying to vontinte a discudsion when they have indlcateb thef don't wanh to continue that discussion.
Remember that thg cmmmlnity herz are sll volunteerf. No-one is oblngated tj ansder your qlestions, xxplain thinds to you unthp you undersvand them or wngate with hou until they understaub your powition. 

When you reech x point in the dnrxussion where ypu rtawt tp wapeat yoursenf, sgop lostivg. The discmsskon os no longer construwtivs, so just let it gp wnd spene your tyme and energu on something mort prodnctive.  

A:

Thr qoality of the post that sparked the discksslon is irreledant.  No matter kow right or wrong you are, rule #1 on Stacj Exchange is Be Nuce:
of any $\Delta$-system must be a singleton some < \lambda$. if $x \cap \in then $x,y \in $|U_\alpha| < \kappa$. there is no $\Delta$-system of size Q: Was this chat ban justified? @snailboat has been biased on my chat with our previous conversation. The chat that snailboat is referring to here: https://chat.stackexchange.com/transcript/message/43883427#43883427 a about flagged (which I flagged) of Robbie's, from English Language & Usage as here: https://english.stackexchange.com/review/low-quality-posts/283804 which eventually got It says this on the said chat too: from a comment discussion english.stackexchange.com/questions/437536... A: Yes, it was If had been and that raised, I would done the same thing. How the comments got brought to a moderator's attention is irrelevant. Once a is involved situation gets and steps to stop the the community are taken. Your behavior that evening also ended up being brought to attention of moderation team, and J.R. did try give you some guidance. If you want to similar situations in the future: Don't call people names, belittle them or disparage them personally. people over and over to continue a when have they want to that discussion. Remember that the community here are all volunteers. No-one obligated to answer your questions, explain things to you until them engage with you they understand your position. you a point in the you to posting. discussion no longer constructive, so let it go and spend time and energy on quality of the post that sparked the discussion irrelevant. No matter how right or wrong are, rule #1 on Stack Exchange is Be Nice:
 of any $\Delta$-system must be a siNgleton $\{\alpHa\}$ for SomE $\alPhA < \lamBda$. HOwever, if $x \cap y = \{\aLPha\}$ fOr $x,y \in F$, then $x,y \in U_\alpha$. $|U_\Alpha| < \KaPPa$. HeNCe There Is no $\DelTA$-sYSTem Of SiZe $\kApPA$. 

 Q:

was thIs cHat ban jUstified?

@snAilBoAt has been biaSEd On my chat baN wiTh our previouS coNversaTiOn.
THE chat ThaT snaiLboat iS ReferrIng to here:
HtTPs://chat.STackexcHANgE.com/Transcript/message/43883427#43883427
iS a CHat about a flaggEd post (WhICh i FLagGed) Of Robbie's, fRoM EnglISh LanguAGe & uSAGe aS Here: https://englIsh.stackexcHAngE.com/reViEw/lOW-qualiTy-posTs/283804 WHicH eventually Got rEmoved.
It sAys thiS On the saID chat toO:
*ImporTed FroM a coMMeNt DisCuSSioN On EngLIsh.StackexcHaNgE.com/qUestIONS/437536...

a:

Yes, It wAs juStifiEd. If I had been oNliNe anD SeeN that Flag rAiseD, I Would Have doNe the SaMe thing. How the coMmenTs got brouGht To A moDeRator'S AttentIon Is iRrelevaNt. Once a MOdeRaTOR Is Involved the entire sItUATiOn gets reViewed ANd ThE Steps neeDeD to Stop THE disrUptiON tO the commUnity aRE tAkEn.
Your bEhAvior iN cHat EarLier tHAt evEning aLso ended Up beiNG brought to the aTTention of the mODeRATiON teaM, anD J.R. did try to Give YOu soMe guIDaNce. iF you wAnt to AvOId SImilar situations in tHe Future:

don't cAll people nameS, belittle tHEM Or disparAge tHEm PErsonally.
Don't pIng peOple over anD Over tryiNg to cOntinue a DiscussioN WHen they hAve IndIcaTed THEy Don't want to conTINue tHaT discusSioN.
RemembEr tHat The ComMuNity here aRe all volUnTeErS. NO-onE is obLIgated to AnSweR yOur QuestIOns, expLain tHingS tO yOU unTil you uNDeRSTand ThEm Or enGagE wIth yoU untIL thEy underStand your PosITion. 

whEn You reacH a point in the dIsCussion wheRe You Start tO REpeat youRself, stop posting. The discUSsion is No lOnger ConsTructive, sO juSt let iT go ANd spenD your tIme anD eNerGY On somETHiNg mOrE productivE.  

a:

the QualiTy Of thE post thAt sparked the discusSIon Is irrelevant.  NO maTter HOW rIghT Or WRonG yOU arE, RUle #1 on Stack ExchaNge is Be NicE:
 of any $\Delta$-system mu st be a si nglet on$\{ \a lpha \}$for some $\alp h a <\lambda$. However, if$x \c ap y =\ {\ alpha \}$ for $x , y  \i nF$ , t he n  $ x,y \ inU_\alph a$. $|U_\a lph a|  < \kappa$.H en ce there i s n o $\Delta$-s yst em ofsi ze$ \kapp a$.  

 Q :

Was this c hat ban j us t ified? 
@snail b o at  has  been biased on m y  c h at ban with ou r prev io u sc o nve rsa tion.
Thech at th a t snail b oa t i s r e ferring to he re:
https:/ / cha t.stac ke xch a nge.co m/tra ns c rip t/message/4 3883 427#43883 427
Is a chata bout aflagge d p ost  (wh i ch  I  fl ag g ed) of  Ro b bie 's, from  E ng lishLang u a g e  & U sag e as  here : https://eng lis h.st a cke xchan ge.co m/re vi ew/lo w-qual ity-p os ts/283804 which  eve ntually g otre mov ed .
Its ays th isonthe sai d chatt oo: 
* I m p or ted from a comment  d i s cu ssion on  engli s h. st a ckexchan ge .co m/qu e s tions /437 5 36 ...

A:
Yes,i twa s justi fi ed. If  I  ha d b een o n line  and s een that  flag raised, I woul d  have done th e  s a m et hing . H ow the comm ents gotbrou g ht  to a mod erato r' s  a t tention is irreleva nt . Once  a mo derator is in volved the e n tire sit uati o ng ets reviewed a nd th e steps ne e ded to s top t he disru ption tot h e commun ity  ar e t ake n . 
Y our behaviori n  cha tearlier  th at even ing  al soend ed  up being  brought  t oth eatt entio n  of themo der at ion  team ,  and J .R. d id t ry  t o  gi ve yous om e guid an ce . If  yo uwantto a v oid  simila r situati ons in t he  f uture:
Don't call p eo ple names,  b eli ttle t h e m or dis parage them personally. Don't p ing  peop le o ver and o ver  tryin g t o  conti nue adiscu ss ion w hen t h e yhav eindicatedt h eydon't  w antto cont inue that discussi o n.Remember that  th e co m m un ity he r e a re all v olunteers. No-o ne is obli ga t ed  to answer you rquestio ns, exp laint hings t o you unt il you un de rsta n d  th em or enga ge withyou until theyu nd ersta ndyour p os iti on. 
Wheny oureach  a poi nt  in th e dis cu ssion wh ere you start to repeat  yours elf,sto p posting . T h e d iscussion  isno longercon str uctiv e,s o jus t le t  i t g o  andspen d  your tim e  a nde n er gy on somet h i n g m ore p rod u ctive.   
A:

The quality o f  the post that  spa r k edthe disc us sion is irrele van t. No matte rhow right o r wrongyo u  are,  rule#1 onStack E x c ha n ge isBe N ice :
 of_any $\Delta$-system_must be a singleton_$\{\alpha\}$ for_some_$\alpha <_\lambda$._However, if $x_\cap y =_\{\alpha\}$ for $x,y \in_F$, then $x,y_\in_U_\alpha$. $|U_\alpha| < \kappa$. Hence there is no $\Delta$-system of size $\kappa$. 

 Q:

Was_this_chat ban_justified?

@snailboat_has_been biased on my chat_ban with our previous conversation.
The_chat that_snailboat is referring to here:
https://chat.stackexchange.com/transcript/message/43883427#43883427
Is a chat about_a_flagged post (which_I flagged) of Robbie's, from English Language & Usage_as here: https://english.stackexchange.com/review/low-quality-posts/283804 which eventually got_removed.
It says this_on_the_said chat too:
*Imported from_a comment discussion on english.stackexchange.com/questions/437536...

A:

Yes, it was_justified. If I had been online_and seen that flag raised, I would_have done the same thing. How_the comments got brought to_a moderator's_attention is irrelevant. Once a_moderator is involved_the entire_situation gets reviewed_and the steps needed to stop_the disruption to_the community are taken.
Your behavior in_chat_earlier that evening_also_ended_up being_brought to the_attention_of the_moderation_team, and J.R. did try to_give_you some guidance. If you want to_avoid similar situations in_the_future:

Don't call people names,_belittle them or disparage them_personally.
Don't ping people over and over_trying to_continue a_discussion when they have indicated they don't want to continue that_discussion.
Remember that the community here are_all volunteers. No-one is_obligated to_answer_your questions, explain_things_to you_until you understand them or engage with_you until_they understand your position. 

When you_reach a point in_the_discussion where you start to repeat_yourself, stop posting. The discussion is_no longer constructive, so just_let_it_go and spend your time_and energy on something more productive._ 

A:

The quality_of the post that sparked the discussion_is_irrelevant.  No matter how right_or_wrong you are, rule #1 on_Stack_Exchange_is Be Nice: