Arrangement

MereologicalState

The use of spatial direct parthood in state definition means that an arrangement cannot overlap in space another arrangement that is direct part of the same whole. The definition of an arrangement implies that its spatial direct parts are not gained or lost during its temporal extension (they exist from the left to the right side of the time interval), so that the cardinality of spatial direct parts in an arrangement is constant. This does not mean that there cannot be a change in the internal structure of the arrangement direct parts. It means only that this change must not affect the existence of the direct part itself. A causal object which is tessellated with only spatial direct parts.

https://w3id.org/emmo#EMMO_36c79456_e29c_400d_8bd3_0eedddb82652

The use of spatial direct parthood in state definition means that an arrangement cannot overlap in space another arrangement that is direct part of the same whole.

The definition of an arrangement implies that its spatial direct parts are not gained or lost during its temporal extension (they exist from the left to the right side of the time interval), so that the cardinality of spatial direct parts in an arrangement is constant. This does not mean that there cannot be a change in the internal structure of the arrangement direct parts. It means only that this change must not affect the existence of the direct part itself.

A causal object which is tessellated with only spatial direct parts.

MereologicalState

https://w3id.org/emmo/raw/1.0.0/doc/figs/Arrangement-3D.png

https://w3id.org/emmo/raw/1.0.0/doc/figs/Arrangement-1D.png

https://w3id.org/emmo/raw/1.0.0/doc/figs/Arrangement-2Dhex.png

https://w3id.org/emmo/raw/1.0.0/doc/figs/Arrangement-2D.png

https://raw.githubusercontent.com/emmo-repo/EMMO/1.0.0/doc/figs/Arrangement.png

A causal object which is tessellated with only spatial direct parts.

The use of spatial direct parthood in state definition means that an arrangement cannot overlap in space another arrangement that is direct part of the same whole.

The definition of an arrangement implies that its spatial direct parts are not gained or lost during its temporal extension (they exist from the left to the right side of the time interval), so that the cardinality of spatial direct parts in an arrangement is constant. This does not mean that there cannot be a change in the internal structure of the arrangement direct parts. It means only that this change must not affect the existence of the direct part itself.

e.g. the existent in my glass is declared at t = t_start as made of two direct parts: the ice and the water. It will continue to exists as state as long as the ice is completely melt at t = t_end. The new state will be completely made of water. Between t_start and t_end there is an exchange of molecules between the ice and the water, but this does not affect the existence of the two states. If we partition the existent in my glass as ice surrounded by several molecules (we do not use the object water as direct part) then the appearance of a molecule coming from the ice will cause a state to end and another state to begin.

emmo:EMMO_36c79456_e29c_400d_8bd3_0eedddb82652

EMMO_36c79456_e29c_400d_8bd3_0eedddb82652

Arrangement

https://w3id.org/emmo/raw/1.0.0/doc/figs/Arrangement-3D.png

https://w3id.org/emmo/raw/1.0.0/doc/figs/Arrangement-1D.png

https://w3id.org/emmo/raw/1.0.0/doc/figs/Arrangement-2Dhex.png

https://w3id.org/emmo/raw/1.0.0/doc/figs/Arrangement-2D.png

https://raw.githubusercontent.com/emmo-repo/EMMO/1.0.0/doc/figs/Arrangement.png

https://w3id.org/emmo#EMMO_8944581c_64da_46a9_be29_7074f7cc8098