New Books In Mathematics

While i find it pretty easy to recognize when i'm reading articles in complexity science, i've never been satisfied by definitions of complexity and related concepts. I'm not alone! Researchers' own attempts to define complex systems incorporate a mix of folk wisdom and fraught assumptions anchored to a menagerie of contested examples. The field was ripe for a 2013 article proposing a unified account of complexity, and it's no less ripe today for this book-length expansion. In What Is a Complex System? (Yale UP, 2020), philosopher of science James Ladyman and physicist and mathematician Karoline Wiesner systematically interrogate popular definitions. They break the most commonly cited features into three bins: truisms on which there is universal agreement, the conditions necessary for complexity to arise, and various emergent products of complexity. A key insight of their account, for me, was to understand emergence as a relation between features rather than one feature among many. The book is compact, access