Choice constrained by the architecture of the problem. And after that, we can get closer still! We can get as close as we want. By definition of what we’re working with – the numbers between zero and 1 – we are not allowed to use 1. A finite, definite barrier.We can’t get there. This brings us to another mathematical beauty. Well, my friend, what about 0.9999991? And down the rabbit hole we go. Because if we choose 0.9, we realize 0.91 is closer. So we’ll try to pick the thing right next to it. Simple statements, mind-boggling complexity.) Anyhow, here’s our number line:Īnd we want the number closest to 1. It’s also REALLY, REALLY hard to wrap your head around. Let’s say we’re working with the numbers between 0 and 1. It is the image I have in my head when I hear it. What follows is not a formal definition, mind you. I have seen it most often used when talking about inequalities, sequences, sets, and infinity. In a mathematical sense, arbitrarily close is a phrase used when describing the boundaries of a set of numbers. “Arbitrarily close” carries a beautiful freedom of choice, while being constrained by the architecture of mathematics.įor those not familiar with it, here is how I think of it: Now, when I hear it, a pleasantly ambiguous yet clearly defined image floats through my head, and the elegance of the idea pleases me. After a LONG TIME and much repeated exposure to the phrase in context, it gradually began to make sense to me. I didn’t understand it, and it seemed infuriatingly self-evident to everyone else in my classes. It is a phrase that annoyed the snot out of me when I first learned it. It is a phrase in common use in some mathematical circles, and not at all in others. Some of you may have never heard it before. Some of you might already know what this phrase means. But as a first blog post, it’s a decent attempt at my current, honest – if wildly philosophical and abstract – feelings toward teaching and math. there are 8 players in the group who are all just as insanely geared and powerful as this and the stuff he keeps throwing at us is still keeping us on our toes like we were at lvl 1, so yeah.This started as a paragraph in my “About Me” section, and perhaps reveals the philosophical mush I found myself in while I spent an embarrassingly long time choosing the title of this blog. especially not with my AC.īefore anyone says anything, yes, i know, this is freaking outragous and broken but hey, its how the GM wanted it to be. not to mention its not really necessary for a ranged player to really ever move. but to do that i need more then 1 use of a dimension door spell per day to make it effective. I plan on taking Inquisitor up to at least lvl 8, but after that i don't know where i want to go with her.honestly i have nothing more to buy for her except maybe a helm of brilliance if i want to go that way, and as far as feats go, the only idea i have is the dimensional Dervish line. Ring of Dexterity +2 (story item supposedly.) +5 Darkwood Buckler of Heavy Fortification Keen Bane (undead) Silver Katana of Flaming BurstĬatskin Leather (+5 with Invulnerability) These are all on top of all the class skills i get for all 4 classes and some racial stuff as well.Ĥ Emralds to expend to succeed stealth after attack. but i do know i met all the requirements before taking each. Honestly, i cant remember at which level i took each of these, so dont ask. Pressure Points/Bleeding Attack = +9 Bleed +1 STR/DEX DMGįeats: (there's a lot of them, so bear with me) (i know that having lvls in rogue and ninja is retarded, but when i originally built her, i had no idea about the ninja class or that it was even a good idea to build with it.lesson learned)ĭMG: =(36*hits)+(1D8*hits)+Holy+SA(7D6*hits)
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