This book explores arguments for and against moral realism and mathematical realism, how they interact, and what they can tell us about areas of philosophical interest more generally. It argues that our mathematical beliefs have no better claim to being self-evident or provable …
Are there moral facts? Are there mathematical facts? Many say yes to the latter but no to the former. Justin Clarke-Doane argues that the situation is much more subtle: although there are no real moral facts, morality is objective in a paradigmatic respect. Conversely, while the…
"From the time of Pythagoras, we have been tempted to treat numbers as the ultimate or only truth. This book tells the history of that habit of thought. But more, it argues that the logic of counting sacrifices much of what makes us human, and that we have a responsibility to ma…
"From the time of Pythagoras, we have been tempted to treat numbers as the ultimate or only truth. This book tells the history of that habit of thought. But more, it argues that the logic of counting sacrifices much of what makes us human, and that we have a responsibility to ma…
"Ranging from math to literature to philosophy, Uncountable explains how numbers triumphed as the basis of knowledge--and compromise our sense of humanity. Our knowledge of mathematics has structured much of what we think we know about ourselves as individuals and communities, s…