Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics

by Ernest Davis

Introduction.- Hardy, Littlewood, and polymath, (Martin and Pease) .- Experimental Computation as an Ontological Game The Impact of Modern Mathematical Computation Tools on the Ontology of Mathematics (Bailey and Borwein).- Mathematical Products (Davis).-How Should Robots Think about Space? (Azzouni).- Mathematics and its Applications (Berlinski).- The Nonexistence of Mathematical Objects (Azzouni).- An Aristotelian Approach to Mathematical Ontology (Gillies).- Let G be a Group (Lützen).- From the Continuum to Large Cardinals (Stillwell).- Mathematics at Infinity (Gray).- Mathematics and Language (Avigad).- Mathematics as Language (Ross).- Mathematics as Multimodal Semiotics (O'Halloran).- Problems in Philosophy of A View from Cognitive Science (Piantadosi).- Beliefs about the Nature of Numbers (Rips).- What Kind of Thing Might Number Become? (Sinclair).- Enumerated Entities in Public Policy and Governance (Verran).

Hardcover

First published October 28, 2015