Combining Philosophers

Ideas for Roderick Firth, Mark Colyvan and Avineri,S/De-Shalit,A

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15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan]
     Full Idea: One type of generalisation in mathematics extends a system to go beyond what is was originally set up for; another kind involves abstracting away from some details in order to capture similarities between different systems.
     From: Mark Colyvan (Introduction to the Philosophy of Mathematics [2012], 5.2.2)