Limit search to available items
Book Cover
E-book
Author Davis, Philip J., 1923-

Title Mathematics and common sense : a case of creative tension / Philip J. Davis
Published Wellesley, Mass. : A.K. Peters, [2006]
©2006
Online access available from:
ProQuest Ebook Central    View Resource Record  

Copies

Description 1 online resource (xlvi, 242 pages) : illustrations
Contents What is mathematics? Mathematics and common sense : relations and contrasts -- How common sense impacts mathematical reasoning : some very simple problems -- Where is mathematical knowledge lodged, and where does it come from? -- What is mathematical intuition? -- Are people hard-wired to do mathematics? -- Why counting is impossible -- Quantification in today's world -- When should one add two numbers? -- Category dilemmas -- Deductive mathematics -- Mathematics brings forth entities whose existence is counterintuitive -- "In principle we can?" : mathematical existentialism -- Mathematical proof and its discontents -- The logic of mathematics can spawn monsters -- Rules and their exceptions -- If mathematics says "no" does it really mean it? -- Inconsistencies and their virtues -- On ambiguity in mathematics -- Mathematical evidence : why i believe a theorem -- Simplicity, complexity, beauty -- The decline and resurgence of the visual in mathematics -- When is a problem solved? -- What is meant by the word "random"? -- The paradox of "hitting it big" -- Probability and common sense : a second look -- Astrology as early applied mathematics -- Mumbo math -- Math mixes it up with baseball -- Mickey flies the stealth: mathematics, war and entertainment -- The media and mathematics look at each other -- Platonism vs. social constructivism -- Mathematics at the razor's edge
Summary The Mathematical Intelligencer, May 2008""]]>
Bibliography Includes bibliographical references
Notes Print version record
Subject Common sense
Knowledge, Theory of
Logic, Symbolic and mathematical -- Methodology
Reasoning
Common sense.
Knowledge, Theory of.
MATHEMATICS -- General.
Reasoning.
Form Electronic book
ISBN 1439864322
9781439864326