NEW PERSPECTIVES ON MATHEMATICAL PRACTICES<br> Essays in Philosophy and History of Mathematics

NEW PERSPECTIVES ON MATHEMATICAL PRACTICES
Essays in Philosophy and History of Mathematics

Brussels, Belgium, 26 - 28 March 2007

CONTENTS


FRONT MATTER	i
ON THE NATURE AND ORIGIN OF ALGEBRAIC SYMBOLISM ALBRECHT HEEFFER	1
READING DIOPHANTOS AD MESKENS	28
WHAT DID THE ABBACUS TEACHERS AIM AT WHEN THEY (SOMETIMES) ENDED UP DOING MATHEMATICS? AN INVESTIGATION OF THE INCENTIVES AND NORMS OF A DISTINCT MATHEMATICAL PRACTICE JENS HØYRUP	47
PHILOSOPHICAL METHOD AND GALILEO'S PARADOX OF INFINITY MATTHEW PARKER	76
REPRESENTATIONS AS MEANS AND ENDS: REPRESENTABILITY AND HABITUATION IN MATHEMATICAL ANALYSIS DURING THE FIRST PART OF THE NINETEENTH CENTURY HENRIK KRAGH SØRENSEN	114
NINETEENTH CENTURY ANALYSIS AS PHILOSOPHY OF MATHEMATICS JEREMY J. GRAY	138
DEDEKIND, STRUCTURAL REASONING, AND MATHEMATICAL UNDERSTANDING ERICH H. RECK	150
A MATHEMATICIAN AND A PHILOSOPHER ON THE SCIENCE-LIKENESS OF MATHEMATICS: KLEIN'S AND LAKATOS' METHODOLOGIES COMPARED EDUARD GLAS	174
AN ENHANCED ARGUMENT FOR INNATE ELEMENTARY GEOMETRIC KNOWLEDGE AND ITS PHILOSOPHICAL IMPLICATIONS HELEN DE CRUZ	185
THE SERPENT IN RUSSELL'S PARADISE RONNY DESMET	207
BRIDGING THEORIES WITH AXIOMS: BOOLE, STONE, AND TARSKI DIRK SCHLIMM	222
Back