This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat.
When a doctor tells you there's a one percent chance that an operation will result in your death, or a scientist claims that his theory is probably true, what exactly does that mean?
Dieses Standardwerk zu philosophischen Hintergründen des mathematischen Denkens und Sprechens, Lehrens und Lernens bietet einen umfangreichen Abriss zur Geschichte der Philosophie der Mathematik bis hin zu aktuellen Strömungen.
For science to remain a legitimate and trustworthy source of knowledge, society will have to engage in the collective processes of knowledge co-production, which not only includes science, but also other types of knowledge.
This monograph explores the logical systems of early logicians in the Arabic tradition from a theoretical perspective, providing a complete panorama of early Arabic logic and centering it within an expansive historical context.
This book reveals the myriad aspects of Big Data collection and analysis, by defining and clarifying the meaning of Big Data and its unique characteristics in a non-technical and easy-to-follow way.
This broad and insightful book presents current scholarship in important subfields of philosophy of science and addresses an interdisciplinary and multidisciplinary readership.
Paolo Mancosu provides an original investigation of historical and systematic aspects of the notions of abstraction and infinity and their interaction.
Offers the first comprehensive textbook covering the interrelations between topics in the philosophy of logic in an accessible, non-technical, and up-to-date way.
This book examines the life and work of mathematician Giovanni Battista Guccia, founder of the Circolo Matematico di Palermo and its renowned journal, the Rendiconti del Circolo matematico di Palermo.
This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Societe canadienne d'histoire et de philosophie des mathematiques, which was held at Ryerson University in Toronto.
Dyma gyfrol sy’n croniclo bywyd a gwaith Griffith Davies (1788–1855), o’i blentyndod tlawd yn ardal chwareli Arfon i’w waith fel sefydlydd ysgolion mathemateg yn Llundain cyn gosod sylfaen i’r proffesiwn actiwari.
"e;The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained.
In this book Michael Potter offers a fresh and compelling portrait of the birth of modern analytic philosophy, viewed through the lens of a detailed study of the work of the four philosophers who contributed most to shaping it: Gottlob Frege, Bertrand Russell, Ludwig Wittgenstein, and Frank Ramsey.
Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality?
Die "Paradoxien des Unendlichen" sind ein Klassiker der Philosophie der Mathematik und zugleich eine gute Einführung in das Denken des "Urgroßvaters" der analytischen Philosophie.
This book uses Ludwig Wittgenstein's philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: 'how come (abstract) mathematics applies so wonderfully well to the (concrete, physical) world?
In Mathematics of the Transcendental, Alain Badiou painstakingly works through the pertinent aspects of category theory, demonstrating their internal logic and veracity, their derivation and distinction from set theory, and the 'thinking of being'.
This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations.
The Ganitatilaka and its Commentary: Two Medieval Sanskrit Mathematical Texts presents the first English annotated translation and analysis of the Ganitatilaka by Sripati and its Sanskrit commentary by the Jaina monk Simhatilakasuri (13th century CE).
This study reconstructs, analyses and re-evaluates the programme of influential mathematical thinker David Hilbert, presenting it in a different light.
During the early modern period there was a natural correspondence between how artists might benefit from the knowledge of mathematics and how mathematicians might explore, through advances in the study of visual culture, new areas of enquiry that would uncover the mysteries of the visible world.
This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned.
Diese etablierte Formelsammlung enthält und erklärt mathematische Formeln innerhalb ökonomischer Zusammenhänge, wie sie in den Wirtschaftswissenschaften und in der wirtschaftswissenschaftlichen Praxis unbedingt notwendig sind.
A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.