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About her powers and feats, she can use the Fifth Sorcery and she's compared to "A car which can run 1000km on a single liter of gasoline" You're forgetting that Magecraft and Magic are two completely different things. Furthermore, God says she can do it: Q. In the other Type-Moon works, who else besides Arc can fight against Servants? A. If we're working on the condition of one on one, with an extremely average Noble Phantasm. Generally most of the 27 Ancestors, Kishima Kouma, Aozaki Aoko. If it's just a defensive fight, but would still be a fight, then Ciel. Shiki (Rakkyo), Shiki (Tsukihime) are no match for Servants....but Ryougi Shiki (3rd personality) might be able to go as far as the Ciel class. http://typemoon.wikia.com/wiki/Servant#cite_note-7

Can I has the +1?

His brain overloaded while trying to find common poison in Hisui Good End, so he most probably wouldn't be able to see the death of servants. Well, he definitely wouldn't be able to fight against any servant (even assassin or caster), ans his trump card would be useless, so I guess it's pretty much settled. Aoko and Arcueid can definitely fight (and win) against servants though. Ciel, the 27 apostles and Kouma can probably manage a defensive battle against a servant as well.

Can Ryougi kill logic and mathematical concepts? like 2+2=4?

I believe he can at least kill a command spell or something like that (sine it has a solid form)

Why is Shiki supposed to be even with Shirou? Shirou by himself probably wouldn't be able to kill any servants(besides Gilgamesh). In Heaven's Feel he can because of Archer's arm, but that's pretty much it. In UBW he kills Gilgamesh, but its very clear that "Since they are both owners, not users, the only servant he is able to kill is gilgamesh" Something about not having the mastery over any weapon or something like that. I don't believe he is able to kill a servant by himself (his abilities, no avalon).

This is really old, but whatever. According to Aoko, Shiki can see the "end" of everything. She compared his ability with seeing the future. According to Rin in FSN, Heroic Spirits are removed from time- even if they die in the real world, they are not killed. I believe Shiki would be able to "kill" the connection of a Master and his Servant, or even "kill" the servant. Still, I believe that killing the Heroic Spirit is above his abilities. Ryuogi can proabably do it since she can kill concepts, but whatever. Shiki definitly can't fight against a servant in equal ground to begin with- see some Nasu commets about Melty Blood: "At this point, "MELTY BLOOD" caused a major contradiction. Since this was a fighting game, the position of the protagonist, Tohno Shiki, a character that could participate in combat only by means of trump cards, was reversed, and he became involved in the story as a protagonist that can "fight normally". "....Right. The characteristics of the characters in "MELTY BLOOD" had either been exaggerated or restrained from what they had been in Tsukihime." "Using cards as an example, Shiki of Tsukihime would be a 3 of Hearts. But the Shiki of "MELTY BLOOD" would be able to fight normally as a Jack of Spades." So, if he can't even fight against MB characters, how would he be able to fight against a servant to begin with?