Description |
xlvi, 242 pages : illustrations ; 24 cm |
Bibliography |
Includes bibliographical references. |
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. |
Subject |
Logic, Symbolic and mathematical -- Methodology.
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Logic, Symbolic and mathematical. |
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Methodology. |
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Reasoning.
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Reasoning. |
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Common sense.
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Common sense. |
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Knowledge, Theory of.
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Knowledge, Theory of. |
ISBN |
1568812701 alkaline paper |
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9781568812700 alkaline paper |
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