This book deals with the evolution of mathematical thought during the 20th century. Representing a unique point of view combining mathematics, philosophy and history on this issue, it presents an original analysis of key authors, for example Bourbaki, Grothendieck and Husserl.As a product of 19th and early 20th century science, a canon of knowledge or a scientific ideology, mathematical structuralism had to give way. The succession is difficult, still in progress, and uncertain. To understand contemporary mathematics, its progressive liberation from the slogans of "modern mathematics" and the...

This book offers a phenomenological conception of experiential justification that seeks to clarify why certain experiences are a source of immediate justification and what role experiences play in gaining (scientific) knowledge. Based on the author's account of experiential justification, this book exemplifies how a phenomenological experience-first epistemology can epistemically ground the individual sciences. More precisely, it delivers a comprehensive picture of how we get from epistemology to the foundations of mathematics and physics.The book is unique as it utilizes methods and...

This book discusses fundamental topics on contemporary Ockhamism. The collected essays show how contemporary Ockhamism can impact areas of research such as semantics, metaphysics and also the philosophy of science. In addition, the volume hosts one historian of Medieval philosophy who investigates the way in which William of Ockham “in flesh and bone” construed time and, more generally, future contingency.The essays explore the different meanings of this theory. They cover three main topics, in particular. The first examines the thesis that sentences and propositions about the future...

This book explores the nature and significance of Pyrrhonism, the most prominent and influential form of skepticism in Western philosophy. Not only did Pyrrhonism play an important part in the philosophical scene of the Hellenistic and Imperial age, but it also had a tremendous impact on Renaissance and modern philosophy and continues to be a topic of lively discussion among both scholars of ancient philosophy and epistemologists. The focus and inspiration of the book is the brand of Pyrrhonism expounded in the extant works of Sextus Empiricus. Its aim is twofold: to offer a critical...

This book brings together twelve original contributions by leading scholars on the much-debated issues of what is free will and how can we exercise it in a world governed by laws of nature. Which conception of laws of nature best fits with how we conceive of free will? And which constraints does our conception of the laws of nature place on how we think of free will? The metaphysics of causation and the metaphysics of dispositions are also explored in this edited volume, in relation to whether they may or may not be game-changers in how we think about both free will and the laws of nature....

This book discusses the philosophical work of Décio Krause. Non-individuality, as a new metaphysical category, was thought to be strongly supported by quantum mechanics. No one did more to promote this idea than the Brazilian philosopher Décio Krause, whose works on the metaphysics and logic of non-individuality are now widely regarded as part of the consolidated literature on the subject. This volume brings together chapters elaborating on the ideas put forward and defended by Krause, developing them in many different directions, commenting on aspects not completely developed so...