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    1. K-97 12 yrs ago
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I'd say this works best for me right now. Got the right mix of relaxing and exciting.

I'd put the original mix but I appreciate you guys have lives.

Our Party so far is great, looking forward to seeing how this goes Bea.
Name: Konros Harlon
Gender: M
Image: First on Fourth Row
Race: Human
Class: Paladin
Alignment: Lawful Good
Abilities: Charisma, Strength, Wisdom, Constitution, Intelligence and Dexterity
Other: Long Sword and Shield
Voted. Gold and lolsorasgay for me
I wanna join.
Halo said
This is where it gets a little abstract, and I'll admit I'm referencing Wikipedia a bit for guidance on the technical terminology, but essentially a manifold is a space in which every point is like Euclidean space (do you know about Euclidean and non-Euclidean space?). So, essentially, although a manifold as a whole may not exist in Euclidean space, as long as at each point on the object the local area resembles Euclidean space then it's still a manifold.The best way to describe it is using a sphere, imo - that's how it was explained to me. The surface of a sphere is a 3D non-Euclidean space as a whole, but at each individual point on that surface it looks like a 2D Euclidean space. If you were standing on a sphere (like the Earth), the local area looks like a 2D plane to you, as the curvature is very subtle, and the laws of Euclidean space hold within that local, plane-like area. So, the surface of a sphere is a two-dimensional manifold, because even though the whole thing is non-Euclidean, at each local point it resembles Euclidean space. Note, though, that it only Euclidean space at each point - the curvature is still there, it's just unnoticeable. A way to understand this is by thinking about map projections of the earth. We can take a small geographic area of the Earth (which will have a subtle curvature and so technically be 3D space) and project it onto a 2D plane - a map. However, the way you transpose it to 2D is dependent on where you are on the curvature - if you then map the same space but standing in a different place, your two maps will differ slightly despite describing the same space, because the 2D projection of the 3D space is merely an approximation and therefore changes defending on your relative perspective.Of course, all of this gives rise to some pretty cool concepts, and ways to define objects in terms of visualisable space even when those objects exist outside of that. An example is the Klein bottle (yay for wikipedia giving me this example xD), which is actually a 4D object that cannot be implanted in 3D space (though we can it in 3D or even 2D space as a sculpture or drawing), but is actually a 2D-manifold!


*nods*

Okay I think I get manifolds now, thanks for the explanation!
natsumehack said
Which brings up another question, if you are a paradox, and killed your self, wouldn't you already be dead? Can you kill what is already dead?


No as from the moment your past self is dead, you destroy any connection between you and the past self. As I said you are a being with no traceable history who while you have no cause is still alive and still exists. Your actions don't erase your existence only your history. So it is still possible to kill yourself or have someone kill you, you still exist and are still alive.
natsumehack said
By pure fact that you don't exist, how do you kill which does not exist?


The problem with this is that from this notion, you could extend its implications until you return to my previous proposition in which you would be unable to interact with existence as ''How does non-existence interact with existence?'' or perhaps a simpler way of saying it ''How does nothing interact with something,''.

In the situation you described about becoming a paradox (in a universe where paradoxes aren't dealt with by fate), you would still exist albeit as a being without a traceable history. You did come into existence and then grew up and decided to kill yourself however in your situation your actions do not erase you from existence rather they erase your history, actions and their consequences after your past self's death from the timeline. Therefore while you would be a paradox, a being with no traceable history, since your actions do not cause you to be removed from existence you must still be able to die.
Lawful Neutral Human Wizard (1st Level)

Ability Scores:
Strength- 13
Dexterity- 11
Constitution- 14
Intelligence- 16
Wisdom- 14
Charisma- 14
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