1st Edition

How Our Emotions and Bodies are Vital for Abstract Thought Perfect Mathematics for Imperfect Minds

By Anna Sverdlik Copyright 2018
    236 Pages
    by Routledge

    236 Pages
    by Routledge

    If mathematics is the purest form of knowledge, the perfect foundation of all the hard sciences, and a uniquely precise discipline, then how can the human brain, an imperfect and imprecise organ, process mathematical ideas? Is mathematics made up of eternal, universal truths? Or, as some have claimed, could mathematics simply be a human invention, a kind of tool or metaphor?

    These questions are among the greatest enigmas of science and epistemology, discussed at length by mathematicians, physicians, and philosophers. But, curiously enough, neuroscientists have been absent in the debate, even though it is precisely the field of neuroscience—which studies the brain’s mechanisms for thinking and reasoning—that ought to be at the very center of these discussions.

    How our Emotions and Bodies are Vital for Abstract Thought explores the unique mechanisms of cooperation between the body, emotions, and the cortex, based on fundamental physical principles. It is these mechanisms that help us to overcome the limitations of our physiology and allow our imperfect, human brains to make transcendent mathematical discoveries.

    This book is written for anyone who is interested in the nature of abstract thought, including mathematicians, physicists, computer scientists, psychologists, and psychiatrists.

    Table of Contents

    List of Figures


    Chapter 1. The unreasonable effectiveness of mathematics

    Chapter 2. Why logic is never ideal

    Chapter 3. Working memory and logical limitations

    Chapter 4. Overpowered by emotion

    Chapter 5. From cognition to recognition and back again

    Chapter 6. Non-algorithmic thinking machine?

    Chapter 7. How mathematics can outwit physiology




    Anna Sverdlik is a clinical psychiatrist at Tel Hashomer, a major Israeli hospital. She specializes in brain injury and neurocognitive disorders.

    This is a remarkable book, taking on the under-investigated overlap between two

    very disparate worlds: on the one hand mathematics and rationality, contrasted with

    emotions and embodiment. Based on the discoveries of modern affective neuroscience,

    the book makes an impressive attempt at bridging the important conceptual divide

    between feelings and formal thinking, a divide almost as troubling as that between

    mind and brain itself. It made me think about some old ideas in quite new ways.’

    Professor Oliver Turnbull, Bangor University, UK


    ‘Anna Sverdlik takes the reader on a fascinating journey to discover the nature of

    abstract thinking from a neuroscience perspective. Using mathematics as an example,

    she illustrates how our thinking is deeply rooted in a non-algorithmic component that

    relies on our visceral system. The beauty and elegance of mathematics precisely lies

    in the fact that it unites logical thinking supported by our neocortex with intuitions

    supported by our emotions and body that have evolved to solve problems over

    thousands of years.’

    Dr. Melissa Libertus, University of Pittsburgh, USA