|Space, philosophy: various discussions deal, among others, with the question whether the space is absolute or whether empty space is possible. In different sciences, multi-dimensional spaces with certain properties are used to better calculate like Hilbert spaces in the theory of relativity or multidimensional spaces in mathematical nodal theory. No ontological assumptions are made. See also substantivalism, relativism, movement, absoluteness, compactness, conceptual space, dimensions, logical space, four-dimensionalism.|
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|Holz I 132
Space/Leibniz: space is the order. It is not an in-itself, but the structure of a material plurality, which in turn possesses the actual substantial in-itself in the self-limiting nature of the original force.
There is no (infinite) "empty space". The idea of this would be a futile action: to work without doing something with it. There would be no observable change for anyone.
The space appears only in the mutual representation.
Spatiality is something different than space.
Space and time are something ideal.
Space outside the world is just imaginary. (Scholasticism already represented this view).
Space/Leibniz: the arrangement of things causes the appearance of space in perception.
Appearance/"well-founded"/Leibniz: the appearance of space is "well-founded" when it is related to the multiplicity of things.
Space is "imaginary" or "ideal" when the multiplicity is seen as being isolated from the things. (s). e.g. as a set?
Movement/Leibniz: something steps into the place of something else. ((s) Not replacing a previously "empty space").
What encompasses all these places is "space". For this, one does not need to assume "absolute reality" of space.
Space/time/LeibnizVsKant: is epitome of possible relationships, but not as forms of intuition, but rather real ontological as structures of the relationship of the material in themselves to one another.
In-itself/Leibniz: in-itself is the force. Two aspects:
1. Intensional as a point of force.
2. Extensional in effects.
G. W. Leibniz
Philosophical Texts (Oxford Philosophical Texts) Oxford 1998
H. H. Holz
Leibniz Frankfurt 1992