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There isn’t any quantity usually
While there are actually huge numbers, most of these are seemingly not allowed below match guidelines as a result of they can’t be defined to the common opponent in an inexpensive period of time.
I assert with minimal proof that the most important quantity you could possibly count on the common opponent to know is a googolplex (should you do not settle for this assertion, learn the sections beneath). This is straightforward to beat with a finite combo.
Here’s a 3 card instance:
Each repairs, put the logo set off on the stack first so Extravagant Replication’s set off is on prime of the stack, with Extravagant Replication copying Doubling Season. Each doubling season doubles the variety of doubling season tokens you get from Extravagant Replication, and each in flip doubles the variety of zombies you get from Liliana’s emblem. All of this compounds each flip. This is superexponential development. After 3 upkeeps, you might have 2059 doubling seasons and a couple of * 10625 zombies. After 4 upkeeps, you are already over a googolplex zombies. Also of be aware, at this level, you might have crashed any digital implementation of MTG as a result of even the scientific notation for what number of zombies you might have has extra symbols than there are atoms within the observable universe.
What about 1010googolplex?
Still not excessive sufficient. Even should you preserve stacking tens, it will not be excessive sufficient.
Let’s take the combo from the earlier part and run it for 30 turns. That’s loopy huge. Add Paradox Haze to extend the speed that the combo iterates and one other Extravagant Replication to repeat Paradox Haze every repairs. Now, your unfathomably giant numbers of Doubling Seasons will every double the variety of Paradox Hazes you get, and every Paradox Haze will trigger the Extravagant Replications and Liliana’s emblem to every set off a further time on every subsequent flip, inflicting you to have a super-exponentially rising unfathomably giant numbers of upkeeps each flip, every of which causes super-exponential development of your mass of Doubling Seasons and zombie tokens. You quickly get into numbers that want superior math notation to even signify. By the best way, we’re solely at 5 playing cards up to now. We have not even began copying Extravagant Replication, or added Devilish Valet, Fungal Sprouting, and Panoptic Mirror.
What if each gamers are math PHDs?
This approach, you may identify incomprehensibly giant numbers. Then we get into murky territory, however I nonetheless suppose {that a} affordable interpretation of sport guidelines says there is not a sound quantity that can be excessive sufficient.
Some of the largest mechanisms formally outlined numbers end in numbers whose exact values aren’t at the moment recognized (really helpful supplemental studying). So, simply being to call a extremely huge quantity is not sufficient; I’d declare that your quantity must be computable with a purpose to use it in a sport of Magic. And as soon as we now have that stipulation, then no quantity you may identify is excessive sufficient as a result of you may implement a Turing Machine in Magic. Thus, any computable quantity you identify will be exceeded by my finite combo of a truing machine that calculates your quantity plus 20 and offers you that a lot harm.
Beyond computability
In a variety of codecs, there isn’t any most deck measurement. If we ignore the “you will need to be capable of shuffle your deck unaided” bit within the guidelines and don’t have any time restrict on the sport, then for any quantity you decide as your life whole, I can design a deck that can beat it with a finite combo. As a trivial instance, I could make an arbitrarily giant deck of Swamps and Relentless Rats which is able to ultimately get there.
Joke Suggestion
Define “Garfield’s Number” to be equal to at least one better than the most important quantity of injury you may take care of a finite combo in any present Magic format, with the sub-definition of the utmost deck measurement for codecs that do not outline one is the most important deck than will be shuffled with out help by any human that has or will ever dwell. Set your life whole to be that. If you will get a match decide to simply accept this as a sound quantity, congrats.
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