RT Book, Whole DB /z-wcorg/ DS http://worldcat.org ID 43674184 LA English T1 Philosophy of mathematics : structure and ontology A1 Shapiro, Stewart,, PB Oxford University Press PP New York; Oxford YR 2000 SN 0195139305 9780195139303 AB The philosophy of mathematics articulated and defended in this book goes by the name of "structuralism", and its slogan is that mathematics is the science of structure. The subject matter of arithmetic, for example, is the natural number structure, the pattern common to any countably infinite system of objects with a distinguished initial object and a successor relation that satisfies the induction principle.