Aristotelian Paradox of Place Counter Argument
Posted: Wed Nov 22, 2017 6:41 pm
Paradox of Place
From Aristotle:
"if everything that exists has a place, place too will have a place, and so on ad infinitum."[15]
https://en.wikipedia.org/wiki/Zeno%27s_paradoxes
Presented argument:
1) If everything that exists has a place, place too will have a place, and so on ad infinitum.
2) Place exists if and only if there is Place. Places exist if and only if there is infinity: (P1 ↔ P2) ↔ ∞
3) Place exists if and only Place is gradient. This in turn exists if and only if there is infinity: (P ↔ (1,2,x)) ↔ ∞
4) Gradation is an element of Place and is relative to other grades: ∫(1,2,x) ∈ P
5) Place divides itself infinitely as a direct product of its elemental relative grades: (P/P ≜ ∞) ∏ ∫(1,2,x)
6) As self-divisive, Place manifests itself as both potential unity and multiplicity. In these respects Place is a dimensional limit (boundary, Ω) manifested as individuation through division. (Place is a dimension/boundary through division as a constant, as boundaries/dimensional limits act as dividing lines)
(P/P → P ^ P(1,2,x)) = Ω
7) Place as a dimensional limit is infinite because Place is proportional to self - division equal in definition to infinity.
((P = Ω) = ∞) ∵ P ∝ (P/P ≜ ∞)
Agree/Disagree?
From Aristotle:
"if everything that exists has a place, place too will have a place, and so on ad infinitum."[15]
https://en.wikipedia.org/wiki/Zeno%27s_paradoxes
Presented argument:
1) If everything that exists has a place, place too will have a place, and so on ad infinitum.
2) Place exists if and only if there is Place. Places exist if and only if there is infinity: (P1 ↔ P2) ↔ ∞
3) Place exists if and only Place is gradient. This in turn exists if and only if there is infinity: (P ↔ (1,2,x)) ↔ ∞
4) Gradation is an element of Place and is relative to other grades: ∫(1,2,x) ∈ P
5) Place divides itself infinitely as a direct product of its elemental relative grades: (P/P ≜ ∞) ∏ ∫(1,2,x)
6) As self-divisive, Place manifests itself as both potential unity and multiplicity. In these respects Place is a dimensional limit (boundary, Ω) manifested as individuation through division. (Place is a dimension/boundary through division as a constant, as boundaries/dimensional limits act as dividing lines)
(P/P → P ^ P(1,2,x)) = Ω
7) Place as a dimensional limit is infinite because Place is proportional to self - division equal in definition to infinity.
((P = Ω) = ∞) ∵ P ∝ (P/P ≜ ∞)
Agree/Disagree?