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> Cap for High Level Magicians?
RedRum
post Jul 26 2007, 08:09 PM
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Is there a point in a magician's career when, through karma gain and initiation, he will no longer be able to counteract drain from his most powerful spells?

That is to say, is there a limit on how powerful a spell can be, because drain will be impossible to negate?
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Jaid
post Jul 26 2007, 08:11 PM
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not as such no.

provided they take the centering metamagic, that is.
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Ravor
post Jul 26 2007, 08:14 PM
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Sure, because even our unlimited Karma uber Mage can only raise her Drain Stats so high, and Centering only gives you additional dice for the Drain Test.

Of course, if a Mage is willing to burn Edge then the issue may become moot depending on how your DM feels about the Hand of God.

*Edit*

Remember that Centering only gives you extra dice equal to your Grade, and a good semi-accurate rule of thumb is 3 Dice = 1 Sucess.

Drain increases faster then Centering does so even with it your head will explode at some point with nothing you can do about it save Edge.
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RedRum
post Jul 26 2007, 08:16 PM
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Re-read and understood. At first level of initiation a magician taking this will be able to counteract drain with the same ability no matter how powerful they get.
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Jaid
post Jul 26 2007, 08:19 PM
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QUOTE (Ravor)
Sure, because even our unlimited Karma uber Mage can only raise her Drain Stats so high, and Centering only gives you additional dice for the Drain Test.

Of course, if a Mage is willing to burn Edge then the issue may become moot depending on how your DM feels about the Hand of God.

not true. given an infinite amount of karma, you will be able to roll an infinite amount of drain dice, because centering gives extra dice based on initiate grade, which is bought with karma.

there will be something of diminishing returns, mind you, but this is somewhat countered by the fact that as you approach infinite karma, you will begin more and more to have any individual roll of the dice pool conform to average results... which means you can predict with a great degree of accuracy how powerful of a spell you can cast without worrying about disintegrating yourself.

of course, this assumes truly infinite karma. in any actual situation, it will suffer from diminishing returns to some extent, and it will eventually get to a point where your progression is effectively capped because nothing is a challenge anymore, and therefore you stop gaining karma i would suppose =P
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RedRum
post Jul 26 2007, 08:23 PM
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:D nice. I was asking for an npc magician I am making. As you may have guessed I don't have all that much experience in the SR world.
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Ravor
post Jul 26 2007, 08:38 PM
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Sorry but you are mistaken Jaid because Drain increases at a flat ( Force/2 ) while Centering only averages at ( Grade/3 ), so there is a point where the uber Mage's spells will cause more Drain then he can safely resist if cast at full force.

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Ol' Scratch
post Jul 26 2007, 08:45 PM
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Infinity/3 = Infinity
Infinity/2 = Infinity
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Demerzel
post Jul 26 2007, 08:48 PM
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QUOTE (Doctor Funkenstein)
Infinity/3 = Infinity
Infinity/2 = Infinity

Dirty dirty dirty, better to say you cannot devide into infinity... Treating infinity as though it were a number causes the largest misconceptions about the infinite.
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Particle_Beam
post Jul 26 2007, 08:55 PM
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Even so, the drain is capped at that exact force that you choose. So, yes, with infinite karma, infinite magic and infinite initiate grades, the drain resistance wins over the drain, because you can't choose an infinite force when casting. You chose a clearly numerical and therefore limited force level, whose following drain code gets beaten by the unlimited drain resistance dies provided by the Centering metamagic technique.
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hyzmarca
post Jul 26 2007, 08:58 PM
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QUOTE (Ravor)
Sorry but you are mistaken Jaid because Drain increases at a flat ( Force/2 ) while Centering only averages at ( Grade/3 ), so there is a point where the uber Mage's spells will cause more Drain then he can safely resist if cast at full force.

For practical purposes, you are correct. But assuming infinite karma, you are incorrect.

You are making the mistake of assuming that just because the two approach infinity at different rates that there will be some difference between them in the end. This is untrue. Both approach infinity.
One can simply adjust the rate at which he raises the force of his castings in relation the the rate at which he increases his grade, since you are not required to cast at the maximum possible force.

To represent it mathematically, F/2 = G/4, F=G2/4, F=G/2, 2F =G

In other words, assuming you use the hit-buy option, you can always resist the drain completely so long as the force is half of your grade (assuming no natural drain resistance dice and no drain modifiers).

More specifically, D = R/4, D= 4R (where D is drain and R is residence dice)

Now, with infinite karma and Centering R can increase without bound. One fourth of infinity, ∞/4, is still infinity.
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Ravor
post Jul 26 2007, 08:59 PM
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Ok, now that we've gotten that bit of snarkiness out of the way, in the context of resisting Drain ( X/2 ) is going to increase faster then ( X/3 ), rounding issues aside.
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Demerzel
post Jul 26 2007, 08:59 PM
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Basically it is this:

Drain increases as F/2.

The dice used to soak drain increases as grade.

The amount of drain you can soak with a given confidence increases with increased dice, and is unbounded. Thus given a perpetual progression of grade you can have a perpetually increasing force at which you can be confidant to within any non-unity probability that you will not take drain. However since this is all integer units on force and dice you will not have a smooth progression.

But no matter how good you are, if you are looking for a 99% probability of completely soaking drain continued initiations will eventually allow you to increase the maximum force you are capable of casting and maintaining your probability of 99% of the time not hurting yourself.

Keep in mind that this force does not increase nearly as fast as the maximum force you are capable of casting given Magicx2 as a cap.
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Demerzel
post Jul 26 2007, 09:01 PM
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QUOTE (hyzmarca)
One fourth of infinity, ∞/4, is still infinity.

Better to say the limit of n as n aproaches infinity is the same as the limit of n/4 as n approches infinity.
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Particle_Beam
post Jul 26 2007, 09:09 PM
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Ehrm, guys, no matter what, you don't cast spells at infinite force, even if you can select from an infinite range. You cast a spell at a clearly definite grade, because you must choose it.

Even if you have infinite magic, in the end, you must choose the force of the spell or the spirit you're casting/summoning. The drain becomes a real number that is less than infinite, while the drain resistance dices provided by the infinite high initiate grade and the Centering metamagic technique is still infinite.

However, the one good thing to counter infinite strong mages is that they can't stop resist the drain, because the dices are infinite, and therefore never end, and so, the infinitely strong mage is forever trapped in the drain resistance moment. :D
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hyzmarca
post Jul 26 2007, 09:14 PM
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QUOTE (Demerzel @ Jul 26 2007, 04:01 PM)
QUOTE (hyzmarca @ Jul 26 2007, 01:58 PM)
One fourth of infinity, ∞/4, is still infinity.

Better to say the limit of n as n aproaches infinity is the same as the limit of n/4 as n approches infinity.

Yes, it is, but it confuses the kids.

There is, of course, the issue of cost.

Σ (i = x to n) of (10+n6)

(where x is your current grade, assuming it is already equal to maximum magic) Adds up quickly.

Particle Beam, you are misunderstanding the nature of infinity.

The point is that your spell force can be any real integer without restriction. There are an infinite number of real integers and your spell force can always be high, it increases without bounds.

Your grade and your magic will always be a real integer n, but it can always be made higher.
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WeaverMount
post Jul 26 2007, 09:15 PM
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If you are talking about a Mage who really really doesn't care about karma or his spirit reputation, you could spend a few weeks cooking out a ton of ally spirit forumae and repeatedly have it take the drain of your force magic*2 spells. Yeah it will slag the drek of a force 1 ally spirit but it was only 8 karma. That kind of brutality could make for a really loathsome villain.
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Dashifen
post Jul 26 2007, 09:17 PM
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^ Could be a good run where the PCs are working for a free spirit.
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Demerzel
post Jul 26 2007, 09:17 PM
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QUOTE (Particle_Beam)
because the dices are infinite, and therefore never end, and so, the infinitely strong mage is forever trapped in the drain resistance moment. :D

This is the kind of misconception of the infinite that occur when you throw it around spurriously and claim to be able to devide things into it.

PBs statement is similar to Zeno's Paradox that you cannot get from point A to point B because you at some point have to pass halfway between them.
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James McMurray
post Jul 26 2007, 09:18 PM
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Hehe. They're arguing about what happens when you have infinite karma. :)
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Particle_Beam
post Jul 26 2007, 09:22 PM
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QUOTE (Demerzel)
This is the kind of misconception of the infinite that occur when you throw it around spurriously and claim to be able to devide things into it.

PBs statement is similar to Zeno's Paradox that you cannot get from point A to point B because you at some point have to pass halfway between them.

However, contrarily to Zenon, the dices are of an infinite value, and the time to check the resistance dices also become infinite because of the infinite values, whereas the way from point A to B is finite and only involved infinite time-splitting, where the solution was the relativity of time. :P
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Demerzel
post Jul 26 2007, 09:24 PM
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But you cannot have infinite dice, just as you cannot divide into the infinite. The only way you can bound an infinite is if they are infantesimals, such as in Zeno. You cannot have an infinite dice pool, you can at best approach an infinite dice pool...
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hyzmarca
post Jul 26 2007, 09:26 PM
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QUOTE (Particle_Beam)
QUOTE (Demerzel @ Jul 26 2007, 04:17 PM)
This is the kind of misconception of the infinite that occur when you throw it around spurriously and claim to be able to devide things into it.

PBs statement is similar to Zeno's Paradox that you cannot get from point A to point B because you at some point have to pass halfway between them.

However, contrarily to Zenon, the dices are of an infinite value, and the time to check the resistance dices also become infinite because of the infinite values, whereas the way from point A to B is finite and only involved infinite time-splitting, where the solution was the relativity of time. :P

You are incorrect. It is the karma that is infinite. You can only spend karma during downtime, according to the rules. You certainly cannot spend karma during a test. Therefore, your dice pool can be arbitrarily large but it is a real integer.
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Particle_Beam
post Jul 26 2007, 10:06 PM
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I assumed that the infinite Karma was already spent to create infinite magic, initiate grades and whatever can be brought with it. Yet, still, in the end, all that happens is that a character gets forever trapped into a moment of doing a test that can never ever end. Because here in this discussion, time is not relative. :)
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hyzmarca
post Jul 26 2007, 10:12 PM
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You cannot have infinite magic or infinite grades. Infinity is not a number, it is a state. It is the state of increasing without bounds.

Neither magic ratings nor initiate grades can be in that state. It must be an integer. But, that integer is arbitrary because there is no limit on karma.
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