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Single Idea 12990

[filed under theme 9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta ]

Full Idea

Real (as opposed to logical) abstract terms, or at least those which are conceived as real, are either essences or parts of essences, or else accidents (i.e. beings added to a substance).

Gist of Idea

Real (non-logical) abstract terms are either essences or accidents

Source

Gottfried Leibniz (New Essays on Human Understanding [1704], 3.08)

Book Ref

Leibniz,Gottfried: 'New Essays on Human Understanding', ed/tr. Remnant/Bennett [CUP 1996], p.333


A Reaction

Interesting to refer to accidents as 'beings'. This seems to fit abstraction by ignoring, since you can either ignore the accidents to get the essence, or ignore the essence to get the accidents.


The 16 ideas with the same theme [what we should take abstract object to be]:

The greatest discovery in human thought is Plato's discovery of abstract objects [Brown,JR on Plato]
Objects lacking matter are intrinsic unities [Aristotle]
Real (non-logical) abstract terms are either essences or accidents [Leibniz]
Not all objects are spatial; 4 can still be an object, despite lacking spatial co-ordinates [Frege]
Abstract objects may not cause changes, but they can be the subject of change [Dummett]
The existence of abstract objects is a pseudo-problem [Dummett]
I am a fan of abstract objects, and confident of their existence [Boolos]
Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer]
Abstract objects are actually constituted by the properties by which we conceive them [Zalta]
Real numbers as abstracted objects are now treated as complete ordered fields [Mayberry]
If properties are abstract objects, then their being abstract exemplifies being abstract [Swoyer]
Many abstract objects, such as chess, seem non-spatial, but are not atemporal [Hale]
If the mental is non-spatial but temporal, then it must be classified as abstract [Hale]
Shapes and directions are of something, but games and musical compositions are not [Hale]
Being abstract is based on a relation between things which are spatially separated [Hale]
Structuralists call a mathematical 'object' simply a 'place in a structure' [Friend]