What constitutes cognitive scientific progress? This Element begins with an extensive survey of the contemporary debate on how to answer this question. It provides a blow-by-blow critical summary of the key literature on the issue over the past fifteen years, covering the central positions and arguments therein. It also draws upon older literature, where appropriate, to inform the treatment. The Element then enters novel territory by considering meta-normative issues concerning scientific ...

Roughly, instrumentalism is the view that science is primarily, and should primarily be, an instrument for furthering our practical ends. It has fallen out of favour because historically influential variants of the view, such as logical positivism, suffered from serious defects.In this book, however, Darrell P. Rowbottom develops a new form of instrumentalism, which is more sophisticated and resilient than its predecessors. This position—‘cognitive instrumentalism’—involves three c...

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? Understanding probability is clearly very important, if we are to make good theoretical and practical choices.In this engaging and highly accessible introduction to the philosophy of probability, Darrell Rowbottom takes the reader on a journey through all the major interpretations of probability, with ...

Making good decisions under conditions of uncertainty - which is the norm - requires a sound appreciation of the way random chance works. As analysis and modelling of most aspects of the world, and all measurement, are necessarily imprecise and involve uncertainties of varying degrees, the understanding and management of probabilities is central to much work in the sciences and economics.In this Very Short Introduction, John Haigh introduces the ideas of probability and different philosoph...

"A remarkable contribution to one of the most vexing problems in science: the 'demarcation' problem, or how to distinguish science from nonscience." —Francisco J. Ayala, author of Darwin's Gift to Science and ReligionWhat sets the practice of rigorously tested, sound science apart from pseudoscience? In this volume, the contributors seek to answer this question, known to philosophers of science as "the demarcation problem." This issue has a long history in ...

Disillusionment with psychology is leading more and more people to formal philosophy for clues about how to think about life. But most of us who try to grapple with concepts such as reality, truth, common sense, consciousness, and society lack the rigorous training to discuss them with any confidence. John Searle brings these notions down from their abstract heights to the terra firma of real-world understanding, so that those with no knowledge of philosophy can understand how these princi...

What gives statistics its unity as a science? Stephen Stigler sets forth the seven foundational ideas of statistics—a scientific discipline related to but distinct from mathematics and computer science.Even the most basic idea—aggregation, exemplified by averaging—is counterintuitive. It allows one to gain information by discarding information, namely, the individuality of the observations. Stigler’s second pillar, information measurement, challenges the importanc...

"The philosophy of mind is unique among contemporary philosophical subjects," writes John Searle, "in that all of the most famous and influential theories are false." In Mind, Searle dismantles these famous and influential theories as he presents a vividly written, comprehensive introduction to the mind. Here readers will find one of the world's most eminent thinkers shedding light on the central concern of modern philosophy. Searle begins with a look at the twelve problems of phi...

This is an introductory 2001 textbook on probability and induction written by one of the world's foremost philosophers of science. The book has been designed to offer maximal accessibility to the widest range of students (not only those majoring in philosophy) and assumes no formal training in elementary symbolic logic. It offers a comprehensive course covering all basic definitions of induction and probability, and considers such topics as decision theory, Bayesianism, frequency ideas, an...

A modern understanding of the world is unthinkable without science, but what exactly is it? What does it mean to say that something is 'scientific'? How are its results justified? From the genetic basis of life, to the structures of the universe and the atom, TEACH YOURSELF PHILOSOPHY OF SCIENCE explores how the key ideas that shape our world have been developed.- Investigate the history of science.- Examine scientific method.- Discover key philosophers and scientis...

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of ...

The year's finest writing on mathematics from around the worldThis annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2012 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights int...