Jul. 21st, 2008

jack: (Default)
The guided busway has reached the King's Hedge's Road entrance to the science park. You can see the concrete tracks stretching away on the west, and slowly creeping east along the abandoned railway behind the houses on King's Hedges Road.

The foot/cycle path entrance closed "WARNING: GIANT DIGGERS", but is open again, diverted to come out on the College road, and thence cut through the building site to the pavement on King's Hedges Road. But I normally just cycle along the road.

If you think waiting at a pseuo-level crossing for a guided bus to go past takes amusingly long, just try waiting for a guided busway to go past :)

On the other hand, approaching my building from the non-cul-de-sac end of the cul-de-sac is a revelation: the two carpark entrances being designated "entrance" and "exit" make complete sense when the entrance is the first one you reach, and the exit the second (since the carpark is at the far end and people instinctively like turning through the first turning available). It only seems arbitrary if you're used to cycling from the cycleway into the cul-de-sac end of the cul-de-sac, when the idea that you should go up to the second entrance and back again is risible :)
jack: (Default)
Q. OK, so what about uncountable infinities in magic?

What about it?

Q. Does it make infinite combos less degenerate? Does it even make sense?

Well, you may need some tweaks to the rules, because a lot of them are predicted on the idea of things happening one after another. But suppose, eg. you just go round an infinite loop ω1 times.

Q. Well, that was boring.

OK, ok. Suppose you can't do that. Try this. Doubling season says "Whenever you put a counter into play, instead put two of them into play." Suppose you get an infinite number of doubling seasons into play (eg. jumping through a few hoops and an infinite amount of mana to put a copy of it into play an infinite number of times).

Then put a token into play. I think the infinite number of doubling seasons produces an uncountable number of new counters. (Either an uncountable number of new creatures, or almost cooler, one creature with enough +1/+1 counters on that it has power and toughness ℵ1/ℵ1 :))

Think about this either as 2^ω counters, or by counting the counters individually: number the first counter 0, and the counter produced by the first double 0.1 and the counters produced by the second double 0.01 and 0.11, and so on.

Q. Right... Is that rigorous?

I think so... You need either to be comfortable with an infinite stack, (the order things come off it might be a problem?) or to have events happen "in parallel" when it's obvious what's going to happen.

Q. Is it interesting?

I don't know. Maybe. Probably not. It does mean that if you gain uncountably infinite life, your opponent has to jump through some extra hoop, it's not enough just to have an infinite combo. You don't just need a way of gaining infinite cards, infinite mana, and infinite damage, you need an infinite number of copies of some doubling effect as well.

Q. So, specific cards?

Aforementioned doubling season, together with a card that makes it a creature (opalescence) -- or anything else if you can copy it -- and a reusable card that puts a copy of target creature or artifact (kiki-jiki "tap to put into aply a copy of target creature" plus a way to untap it, mirrorweave "all creatures become a copy of target creature" plus infinite creature tokens, spitting image "pay mana and discard a land to repeatedly put a copy of target creature into play").

Isn't there some red enchantment which does twice as much damage?

Q. I ask the questions here.

That's not a question.

Q. I ask the questions here. Right, asshole?

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