This book presents a selection of peer-reviewed papers which were presented at a conference organized in Ghent, Belgium, from 27 till 29 August, 2009. The conference was given the title Philosophical Aspects of Symbolic Reasoning in Early modern Science and Mathematics (PASR). For this book we selected papers which deal with the consequences for mathematics in particular, hence the omission of `science' in the title of this book. Another selection, dealing with the understanding of nature and a broader range of topics, will appear elsewhere. The book is published by College Publications (London) in September 2010 in the book series Studies in Logic. A physical copy of the book can be ordered via amazon. Please inform your libraries about this and ask them to order a copy.PASR-cover.JPGAlbrecht Heeffer, Maarten Van Dyck (eds.). Philosophical Aspects of Symbolic Reasoning in Early-Modern Mathematics. College Publications, London, 2010. Studies in Logic, volume 26. Order this book at amazon.co.uk for 15.00! Order this book at amazon.com for $ 23.75! Preface and ForewordAlbrecht Heeffer and Maarten Van Dyck pdf-logo pp. vii-xiiii Hesitating progress: the slow development toward algebraic symbolization in abbacus-and related manuscripts, c. 1300 to c. 1550Jens Hyrup pdf-logo pp. 3-56 From the second unknown to the symbolic equationAlbrecht Heeffer pdf-logo pp. 57-102 Symbolic revolution, scientific revolution: mathematical and philosophical aspectsMichel Serfati pdf-logo pp. 103-122 Translating Euclid's Diagrams into English, 1551-1571Michael J. Barany pdf-logo pp. 125-164 The symbolic treatment of Euclid's Elements in Hrigone's Cursus mathematicus (1634, 1637, 1642)Maria Rosa Massa Esteve pdf-logo pp. 165-191 What More There Is in Early-Modern Algebra than its Literal FormalismMarco Panza pdf-logo pp. 193-228 The geometry of the unknown: Bombelli's algebra lineariaRoy Wagner pdf-logo pp. 229-269 The "Merely Mechanical" vs. the "Scab of Symbols": Seventeenth Century Disputes over the Criteria of Mathematical RigorDouglas M. Jesseph pdf-logo pp. 273-288 Leibniz between ars characteristica and ars inveniendi: Unknown news about Cajori's `master-builder of mathematical notations'Eberhard Knobloch pdf-logo pp. 289-302