Combining Philosophers

Ideas for Hermarchus, Stephen Read and Michle Friend

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2 ideas

9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Structuralists call a mathematical 'object' simply a 'place in a structure' [Friend]
     Full Idea: What the mathematician labels an 'object' in her discipline, is called 'a place in a structure' by the structuralist.
     From: Michèle Friend (Introducing the Philosophy of Mathematics [2007], 4.5)
     A reaction: This is a strategy for dispersing the idea of an object in the world of thought, parallel to attempts to eliminate them from physical ontology (e.g. Idea 614).
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
A haecceity is a set of individual properties, essential to each thing [Read]
     Full Idea: The haecceitist (a neologism coined by Duns Scotus, pronounced 'hex-ee-it-ist', meaning literally 'thisness') believes that each thing has an individual essence, a set of properties which are essential to it.
     From: Stephen Read (Thinking About Logic [1995], Ch.4)
     A reaction: This seems to be a difference of opinion over whether a haecceity is a set of essential properties, or a bare particular. The key point is that it is unique to each entity.