Complete - Mr. Nice Guy

0 views
Skip to first unread message

Kandy Swartzel

unread,
Aug 4, 2024, 10:01:11 PM8/4/24
to maiticare
BooleanAlgebras that are complete as well as atomic (also called CABAs) are of course precisely those that are isomorphic to some power set (equipped with the obvious choices for the operations), or equivalently stated, those that form a category dually equivalent to $Set$.

The category of all Boolean algbras, however, is well-known to be equivalent to the category of Stone spaces (compact totally disconnected Hausdorff spaces) with continuous morphisms. Thus, for a Boolean algebra (of infinite cardinality), it is a very special case to be complete and atomic. My question is:


Please understand that I do not look for any kind of example (so the emphasis lies on the word "nice"). I am, for instance, aware that looking at free BAs would lead to such an example, and I also know the classic example of the BA that is formed by all finite and confinite sets of integers. Also, as mentioned above, I know how the Stone Duality transforms Stone spaces into Boolean algebras, so please don't simply say "the clopen subsets of a that-and-that Stone-Space form a Boolean algebra".


I admit that nice is a somewhat vague notion. What I mean are Boolean Algebras that arise naturally (except those I have already mentioned) and are of special interest for some reason (yes, I know that this formulation is not vague at all).


One naturally occurring "not complete or not atomic" Boolean algebra is the quotient of the algebra of Lebesgue measurable subsets of the reals modulo the ideal of measure-zero sets. This is complete but not atomic. If you just take the Lebesgue measurable sets (and don't divide by any ideal), you get an algebra that is atomic but not complete. Finally, for algebras that are neither atomic nor complete, Joel has given one of the most natural examples, but since you already mentioned it (under the guise of "free algebra") in the question, another "nice" example is the quotient of the power set of the natural numbers modulo the ideal of finite sets.


There is up to isomorphism a unique countably infinite atomless Boolean algebra (by a back-and-forth argument), making this algebra highly canonical. But it cannot be complete, since every infinite Boolean algebra has an infinite antichain, and so by completeness must have size at least continuum.


An example of an atomic but not complete boolean algebra is the set of all finite unions of cartesian products of two sets (with the restriction that these sets are subsets of some fixed "universal" set, to eliminate set-theory paradoxes) with join and meet being set-theoretic union and intersection.


I mean, as in, auto-complete all of it at once. Some of the objectives require going out and doing stuff on that character (like dodging or whatever) so it won't be completed retroactively. From what I can tell, the only stuff that auto-completes is objectives you wouldn't be able to repeat on the same character, like The Adventure Begins.


There should be some reward for completing it, gaining experience is just not good enough, I would be happy to complete it on all my alts if there was something worthwhile at the end of it, it would also give a reason to play alts more.


It's the worst of all worlds, they have got rid of all the previous tutorial achievements the ones that actually gave boosters and achievement points, useful things. They did this for no reason at all then they replace it with a character bound system that gives NOTHING, literally nothing and force level 80's to go through it on all their characters, and they do this on the 10th birthday when they should be thanking vets in some way.


These achievements aren't targetted at you and pretty clearly aren't supposed to be a source of ap/wealth (gold/mats/whatever else), it's just another take on a set of tutorial "missions". Which is also why I think it's not a great idea to have it "autocomplete the moment you get to level 80". The players can get to level 80 and still miss something that's contained in those achievements/tasks. If anything, it should be a conscious, deliberate option to opt-out of it and xp rewards.


Why "also opt out of rewards" instead of "auto-completing"? So it's not baiting new players into opting out for free rewards in the form of xp for the price of missing the whole point of existance of those achievements/hints/tasks.


You should be able to turn them off, or at least turn off the XP rewards. As mid level characters (50ish) the XP given out by the new achievements dwarfs everything else in the game and removes much of the fun of trying to progress.


They seem to be assuming that everyone wants to rush to level 80 and no one wants to enjoy leveling to 80. We were enjoying leveling and earning the power to exist in higher level zones, it was the game for us...


I absolutely detest the new Character Adventure Guide and how spammy it is. I was so frustrated yesterday with them I actually logged off. Furthermore, they removed the old Tutorial (Mastery) achievements so that is another 150 AP gone from the grand AP pool. I just don't see why they couldn't have both the Character Achievement Guide and the collection up at the same time. It's a dumb decision to remove the tutorial collection with AP imo.I think if they remove the achievements, they should remove the AP with it so there's no controversy like this. It further widen the AP gap and I feel that no matter what I do, I'll never catch up to those at 40k+ because I never even played when Monthly/Weekly AP was a thing. I value AP but with this inconsistent system, high AP simply means you've played longer and/or played at the right time. In my experience, people with really high AP tends to not understand some basic concepts of the game.Anet - please quit doing silly things like this and actually design a mentor system. Add the old Tutorial achievements back and stop alienating people like me who has FOMO (fear of missing out).


I've been trying a bit too hard to be nice, recently. The other day I was waiting at a bar, watching the staff wrestling with small pieces of paper, pencils and calculators because the electronic tills had broken. There was stress and frustration on both sides of the bar. One customer had the temerity to present a 20 per cent off voucher, causing an already fragile system to crash and burn. "Shit!" shouted the bar manager, his eyes bulging as he stared at his calculator. "Where's the per cent key on this thing?" he wailed, his brain a seething mass of half-remembered facts about beer, decimals and customer service training. The wait was interminable.


As we waited, I decided to broach the issue. "I'm not sure why I said that," I said to them. "Sorry?" replied the guy. "I mean, I said that you were before me, but you weren't," I said. They nodded. "It's like I'm compelled to gain the approval of total strangers," I said, their expressions betraying the fact that I'd failed to gain their approval and merely succeeded in gaining their mild contempt.


The NICE Framework establishes a common language that describes cybersecurity work and the knowledge and skills needed to complete that work. It is used in public and private sectors and across industries for career discovery, education and training, and in hiring and workforce development.


The Workforce Framework for Cybersecurity (NICE Framework) (NIST Special Publication 800-181, revision 1) provides a set of building blocks for describing the Tasks, Knowledge, and Skills (TKS) that are needed to perform cybersecurity work by individuals or teams. Through these building blocks, the NICE Framework enables organizations to develop their workforces to perform cybersecurity work, and it helps learners to explore cybersecurity work and to engage in appropriate learning activities to develop their knowledge and skills.


The complete opposite of the Jerk Sherlock, the Nice-Guy Sherlock highlights the detective's more compassionate and sentimental side from the books, particularly in the Doyle stories published between 1923 and 1927. One of the reasons why we don't see this side of the detective compared to its opposite is because unlike the stories published between 1887 and 1922, the 1923-1927 stories are not in the public domain and any attempt to give Sherlock Holmes emotions is considered copyright infringement by the Conan Doyle estate, which lead to incidents like the lawsuit surrounding Enola Holmes.




I hadn't thought of that, but yeah, the Estate has recently been going to ludicrous lengths to demand royalty payments, presumably because their last shred of justification for them has either expired recently or is just about to do so (I've read that the applicable copyrights have a term of 90 years, but I've also read that it's 95 years -- meaning that the last story's copyright either expired in 2017 or will do so in 2022, or according to this article, in 2023). The 2020 case you referred to was apparently settled out of court, so unfortunately it does not set a precedent.


I suspect there's an additional factor at work with Sherlock, though, namely that Moffat and Gatiss were intending to show Sherlock Holmes in his early days as a detective. At the end of Series 4, they said he's now ready to be the classic Holmes -- so assuming there's a Series 5, you may be much happier with the portrayal!


It could be successfully argued, I think, that when "Complete Jerk Holmes" makes an appearance in Canon, it is usually only to Watson, since it is with Watson that Holmes can completely let down his hair. There are moments of biting acerbity/put-downs to the oft-abused Inspector Lestrade and other hapless members of the official police force . . and Holmes rarely bothers to disguise his disdain for members of the noble classes who have displayed their callous disregard for those they consider 'lesser' than themselves. IN his turn, SH makes plain how much above this kind of aristocratic boor he places himself. What struck me the most during my first really thorough reading of the Canon is how solicitous toward members of the so-called 'lower classes' and most especially women Holmes is. In "A Case of Identity", Watson has to physically restrain his flatmate from beating a two-timing man senseless with a riding crop in defense of a lady's honor. This is really a far cry from the condescending, misogynistic Holmes of popular reputation. I think most people have not in fact read all the stories, so their conception of Holmes is derived from 'other' treatments of him in popular culture, or from a line here or there taken out of the context of the whole. Under the facade of scientific detachment built up by decades of rigorous self-discipline, which can make him *seem* like little more than a deducing machine at times to more ordinary humans like Dr. Watson, Sherlock Holmes is actually a very passionate and deep-feeling man, I find. He has schooled himself not to *show* his feelings very often, but he does have them, and one supposes that he feels even 'more' than a more outwardly expressive individual. Dr. Watson did his friend a disservice by promoting the idea that Holmes dislikes and distrusts women. There may be some lines SH says that can be interpreted thusly, especially by a close associate who thinks of the fair sex far more often than he seems to think about his medical practice. I have also concluded that sometimes SH's more shocking or off-putting pronouncements, which his Boswell transcribes verbatim without gleaning the underlying puckishness are Holmes being contrary on purpose to wind up his flatmate.

3a8082e126
Reply all
Reply to author
Forward
0 new messages