You say that, yet
it is actually stated to be a clash
between zero and infinity. Of course, we are not supposed to take Musashi's sword being "zero" literally as it's obviously something rather than literal zero, which you yourself acknowledge. You acknowledge that you cannot simply take everything said about Musashi/zero literally and at face value, yet you decide to take everything said about Kojiro/infinity literally and at face value anyways. That's
special pleading.
Allow me to make a few minor corrections. The point only works if we ignore some key elements.
Firstly, the Zero Sword is literally the "Munsei Peerless One" the swordsmanship of Musashi's father, which is itself a single answer to every possibility.
The video states verbatim: "One, The Zero Sword, attempting to surpass Munsei Peerless One. The culmination of a life spent to reach a single one."
Now, addressing your own point: Musashi's skill was said to be a finite skill, correct? This directly points to "the one" as a single, definitive answer. As I said, this is confirmed in her FGO profile, so there is no need to stray into unnecessary theories.
Furthermore, you claimed I took Kojiro's infinity in the literal sense. Again, that's incorrect. The game literally defines their swords as being evenly matched, with each being the reciprocal of the other.
Using basic common sense: if Musashi's Zero reduces infinity to 1 (as per her profile), then Kojiro's infinity being the reciprocal of Musashi's Zero must, by definition, turn 1 back into infinity. That's all there is to it.
Well yes, that's
intuitively what would be the case, but contrary to your intuition, their fight is
outright stated to be an endless process which would've gone on forever had it not been for Ritsuka deciding the result (and of course, Ritsuka is somehow able to understand what's going on and choose Musashi). What's going on here is evidently that as Kojiro actualizes more and more possibilities, Musashi gets rid of them, and the process continues on and on until Ritsuka chooses a victor.
This doesn't prove potential infinity which is a time bound sequence . The clash occurs in the "Realm of Infinity" or Nothingness, a timeless, spaceless domain "beyond the rift of reality and dreams," where "there is no time, no space, no fate." In such a void, "eternity" and etc, are metaphors for a static, unresolved stalemate and not a progressive process. It's like a mathematical singularity where their abilities collide without resolution, looping conceptually without temporal progression. Kojiro doesn't actualize more and more possibilities sequentially as nothing supports that outside of your theory but instead his blade "creates infinite outcomes" simultaneously, as a completed totality that Musashi's zero counters by instantaneous reduction. On the other hand Ritsuka's intervention by observing and deciding Musashi as winner breaks this eternal impasse, not by halting a buildup but by imposing external causality on an otherwise undecidable paradox. Without Ritsuka, it's not "continuing on and on" in time; it's frozen in timeless opposition.
Considering the fact that you have statements like
this and
this indicating that universes in nasuverse aren't infinite, it seems like the only way to avoid a contradiction is to interpret universes as
truly being potential infinities and
not being actual infinities. After all, in the nasuverse universes do undergo constant expansion like potential infinity
Now for this part, if we start to count every statements of Infinity vs every statements about finitude, we won't ever arrive at a mutual consensus, even if I believe Infinity references are way more that finite ones.
Firstly, what you must understand is that the concept of Infinity in the Nasuverse works borrowing the concept of axioms(Do note here that i am going for an argumentation that would stop out divisions on infinity vs finitude wars hopefully)
Borrowing this from Knk, precisely Araya infinite prison
Eng translation : He knew full well how she'd escaped the imprisoned space. Last night, a magician's blow had shattered several of her ribs, leaving the girl unconscious. She woke up in a confined space, a boundary created between the walls of an apartment building, and with her arm, she had cut through an impossible wall in an impossible space. Infinity is not "." To make infinity infinite, a finite dimension must be established. Without a finite dimension, infinity does not exist. Infinity is observed because things have ends. Within the infinity she was thrown, Ryougi Shiki identified the impossible finite dimension and cut it down Of course, there is no finite dimension within infinity. Because you cannot cut through what does not exist, that cage was impossible to escape from. However, without a finite dimension, there is no infinity. Whether there was a finite wall or not, such an endless world made no sense to Ryougi Shiki. If there truly was no finite dimension, it would not be infinity but "." If it contained finiteness, Shiki would identify it and cut it down. ...The magician felt ashamed, realizing that the black hole that was supposed to be absolute was nothing more than a small, dark room to this person.
RAW:どうやって幽閉空間から抜け出したかは、彼は十分に承知していた。昨夜――魔術師の一撃によってあばら骨を数本砕かれ、意識を失った少女。閉ざされた空間、マンションの壁と壁の間にもうけた境界の中で目を覚ました彼女は、その腕でありえない空間の、ありえない壁を斬ったのだ。無限は、「」ではない。無限を無限たらしめるには有限を定めなくてはいけないのだ。有限がなければ無限など存在しない。物事には果てがあるから、無限という事柄が観測される。両儀式は放りこまれた無限の中で、ありえない有限を視つけだして断ち切った。......無論、無限の中には有限などない。存在しないものは斬れないが故に、あの檻は脱出が不可能なのである。しかし――有限がなければ、無限はないのだ。有限の壁が無かったにせよ有ったにせよ、両儀式の前にはそんな果てのない世界など意味をなさない。有限が本当になければ、それは無限などではなく「」であり。有限を内包しているのなら、式はそれを視つけだして断ち切ってしまう。...... 絶対の筈の黒い穴は、この相手にだけはただの狭い暗室にすぎなかったのだと、魔術師は自身を恥じた。
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The quote emphasizes: "To make infinity infinite, a finite dimension must be established. Without a finite dimension, infinity does not exist." This isn't disproving infinity outright and here is why
It's stating that observable or constructible infinity requires finite "ends" or boundaries to be meaningful. In ZFC:
Infinities aren't primitive; they're derived from finite building blocks. The Axiom of Infinity posits the existence of an inductive set (like ω, the naturals), but it's constructed iteratively from the empty set via finite operations successor functions or unions of finite sets. Without these finite steps like no Empty Set Axiom or no Replacement Axiom to generate successors, you can't "establish" infinity and set theory defaults to finiteness.
Larger infinities similarly depend on prior finite or smaller infinite sets. Cantor's theorem proves the power set of any set is strictly larger, but this relies on finite comprehension to define subsets. So, the "impossible finite" in Araya's prison (the hidden boundary Shiki perceives) is analogous to these foundational axioms: it's what makes the space "infinite" in a practical sense, but also what renders it vulnerable. If the finite weren't there (impossible or not), the structure wouldn't hold as infinity which it'd be inconsistent, like a set without well foundedness.
Hence Araya intended a "pure" infinity (no exploitable finiteness), but the quote reveals that's impossible in reality which to trap someone, it must be observable and thus finite dependent. Shiki's Mystic Eyes enforce this by "identifying" the finite (death lines as conceptual ends), cutting it like resolving a set-theoretic paradox. The finite doesn't disprove infinity; it proves the infinity is constructed and thus not absolute.
Consider Russell's paradox: The "set of all sets that don't contain themselves" seems infinite but leads to contradiction because it lacks a finite definable boundary. it's "impossible" without restrictions. ZFC avoids this via axioms like Separation (limiting comprehension to existing sets) and Foundation . An "impossible finite" would be like a hidden well-foundation in a supposedly unbound set: if it's there, the infinity is valid but cuttable (resolvable); if not, it's not infinity but a void (like the Burali-Forti paradox for the "ordinal of all ordinals," which can't exist as a set).
For Araya's prison: It's magecraft simulating spatial infinity . The "impossible finite" is the implicit limit that Shiki perceives as a death line. This doesn't disprove its infinitude and hence instead confirms it's a ZFC-like infinity which are layered, axiomatic, and dependent on finiteness for coherence. But to Shiki (connected to the Root), any such dependency makes it non absolute, reducible to a "small, dark room."
If the space were truly infinite without any finite (even impossible ones), it wouldn't be a "prison" or "space" at all which it'd equate to the Root , unbound and non-physical, which can't imprison because it's beyond observation or interaction. As such the finite vs infinity in the Nasuverse isn't literal, as for ZFC-like Infinity are actually defined through limits, statements of no infinity or finitude in the Nasuverse on broader for things like universes are really infinite but not absolutely infinite as Infinity narratively reference directly to the root as true infinity, lesser infinity can hence exist without contradictions even if they are referred as finite, this actually explains both interpretations on Nasuverse infinities (your reference speaking of a finite space vs mine speaking of an infinite one)
I will just let go on your second reference as it speaks mostly about possibilities.
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