Lakoff G., Nuñez R.E. Where Mathematics Come From: How The Embodied Mind Brings Mathematics Into Being

New York: Basic Books, 2000. — 514 p.This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathematics Comes From argues that conceptual metaphor plays a central role in mathematical ideas within the cognitive unconscious - from arithmetic and algebra to sets and logic to infinity in all of its forms.