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

Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics (2015)

Introduction

Hardy, Littlewood and polymath

Experimental computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics

Mathematical products

How should robots think about space?

Mathematics and its applications

Nominalism, the nonexistence of mathematical objects

An Aristotelian approach to mathematical ontology

Let G be a group

From the continuum to large cardinals

Mathematics at infinity

Mathematics and language

The linguistic status of mathematics

Mathematics as multimodal semiosis

Problems in philosophy of mathematics: A view from cognitive science

Beliefs about the nature of numbers

What kind of thing might number become?

Enumerated entities in public policy and governance