Indeed even the actual world is an abstract object for Plantinga, since it has no center of mass, it is neither a concrete object nor a mereological sum of concrete objects and, like the state of affairs of Ford's being ingenious, has no spatial parts at all (2003a, 107).
Definition for 'object with fiat object part cluster': An object with fiat object part cluster is an object with fiat object part aggregate that is a mereological sum of separate object entities and fiat object part entities, all of which adhere to one another through chemical bonds or physical junctions that go beyond gravity.
Definition: An object with fiat object part aggregate is a material entity that is a mereological sum of separate object and fiat object part entities and possesses non-connected boundaries.
Then, for each i ∈ {1, 2, 3}, one could extend M by adding a corresponding axiom as follows, where again ξ specifies a suitable binary condition: In a way, (P.12ξ,1) would seem the obvious choice, corresponding to the idea that a sum of two objects is just a minimal upper bound of those objects relative to P (a partial ordering).
We present an algorithm to approximate the 3D Minkowski sum of polyhedral objects.
The shape of these plots is usually circular or rectangular and the attributes measured on the plot can be either a sum of discrete objects (e.g. number of trees and the sum of their volume) or some measure of a continuous attribute (e.g. proportion of the plot covering forest, percent crown cover, and length of boundaries).
The generation of the phantom image can then be written as a sum of phantom objects with appropriate amounts of out-of-focus blur, (14) The final step of the synthesis process is to remove some of the degenerative effects applied to the parts of the image displaying nucleus texture.
However, while possessing non-connected boundaries, an aggregate of fiat object parts is not a mereological sum of separate object entities, but instead of fiat object parts and thus cannot be subsumed under BFO's category 'object aggregate'.
However, despite possessing non-connected boundaries (a characteristic of object aggregates, see table 1), an aggregate of objects and fiat object parts is not a mereological sum exclusively composed of separate object entities.
Definition for 'object cluster': An object cluster is an object aggregate that is a mereological sum of separate object entities, which adhere to one another through chemical bonds or physical junctions that go beyond gravity.
