Well sure. The superset consisting of a finite number of infinite sets is, itself, an infinite set.

The number of infinite sets can be described as:

Lim n->∞ n^n

Which is infinite.

This can easily be proven with infinitesimals.

Let us consider the set of all real numbers between 1 and 2. We have an infinite set of infinitessimal values between 1 and 2.

But let us further condense that set and only take the set of all numbers between 1 and 1.1. This set is also infinite.
The set between 1.0 and 1.01 is also infinite.
And so on.



There exists, in Scotland, a sheep which is black on at least one side.

...I think I met him, bought me a couple o drams o' malt whiskey at a local pub he did.

Okay, fair. I assume that's the case ab initio given the massive number of arguments for it (philosophically speaking) and the relatively few and unconvincing number against it (philosophically speaking, again). And also because that's the kinda guy I am.

Actually, you got that backwards. The uncertainty principle does not require a system to be non-deterministic - it makes it non-deterministic.

The uncertainty principal only applies to individual particles. When particles interact with each other to form a system of macroscopic scale, the resulting macroscopic system obeys classical and relativistic physics, which are deterministic.

It's not a proper "data transmission", but any of the telepathy spells breaks FTL, and spirits effectively break FTL with shortcuts.

I could see a case where a highly trained ally inhabiting a merge could recreate with Edit what a mind/sense-linked scientist (or their master) was seeing on Mars with just a few seconds delay (and a much lower degree of fidelity--don't expect the spirit to hack out trid in real-time). If you start using high-powered spirits on arcology ships to explore AC (or even just Jupiter), spells like mindlink/mindnet that are made permanent (with karma or ally sustaining) will be critical.

Hmmm. Anyone want to fly with an ally named HAL?

Drones.

Binary information could still be sent. Every n time you observe a particle. If it has already collapsed, then the people on the far side sent their message. I wouldn't send encrypted jpegs that way, but you can do all the 1 if by land, 2 if by sea crap that you want over arbitrary distances.

-Frank

So let me ask you, how do you know it's instantaneous instead of just very, very fast? Is it instant in physics terms, or instant in conventional terms? Because conventionally speaking, my oatmeal is also instant. We haven't seen any evidence that telepathy is either instant or non-instant. There's just no data for it in the game.

And I don't want hyperspace in my Shadowrun. If my Shadowrun was set in 3000, I might. But a dystopian, cyberpunkish game doesn't need FTL, and I don't want it to have FTL.

What it boils down to is that you have your opinion and I have mine, but neither of us is right or wrong. The rules do not state magic can go FTL, nor do the rules state telepathy is FTL, nor do they say they're not. I was simply illustrating that in my games, they cannot do these things. In your games, they may be able to. But please don't mistake your opinion for 'the facts about the way the game works.'

If errors did accumulate, then the Newtonian model of physics would no longer be remotely functional. The fact that it still accurately describes the motion of macroscopic objects suggests that odd quantum phenomena are self-correcting in macroscopic systems.



As for the metaplanes as hyperspace, it isn't exactly useful. You can use the metaplanes to instantly transport things that don't have bodies if they have a mystical with something which is already at the destination.

There are two problems with this.
1: Most things worth transporting do have bodies.
2: If you can already transport something that is magically linked to the thing you are transporting to the destination reasonable amount of time, then it would probably be more efficient to just transport the thing you are transporting directly to the destination.

So, if you summoned and bound a spirit while on Earth, you can go to Mars and call it to you without having to worry about it being disrupted in space. That's pretty much it.

Also, Free Spirits can take messages between planets, since they can be summoned through the metaplanes by anyone who knows their names.

Indeed. And it's only functional on a specific scale, with enough tolerances.

That does not mean that the errors are non-existant... it means that you can ignore them for the simple stuff.
After all, the Newtonian model usually ignores friction.

that's what i mean. telepathy is a wholly astral phenomenon, so why should it be limited to the speed of light? the only limiting factor is going to be how fast you can get download the data from the telepathic brain--that process will certainly be slower than c, but it won't matter because ideally the brain won't be any significant distance from the data receptacle.