Where mathematics comes from : how the embodied mind brings mathematics into being

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.

[1]  C. Darwin.  The Expression of the Emotions in Man and Animals , .

[2]  E. H. N..  Anschauliche Geometrie , 1933, Nature.

[3]  Z. Harris,et al.  Foundations of language , 1941 .

[4]  F. Heider,et al.  An experimental study of apparent behavior , 1944 .

[5]  J. Hadamard,et al.  The Psychology of Invention in the Mathematical Field. , 1945 .

[6]  D. Hilbert,et al.  Geometry and the Imagination , 1953 .

[7]  David Antin,et al.  100 great problems of elementary mathematics : their history and solution , 1966 .

[8]  J. Heijenoort.  From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931 , 1967 .

[9]  MAURICE CROSLAND,et al.  Foundations of Science , 1970, Nature.

[10]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[11]  J. Fodor.  The Language of Thought , 1980 .

[12]  Ray Jackendoff.  Semantics and Cognition , 1983 .

[13]  J. Fodor.  The Modularity of mind. An essay on faculty psychology , 1986 .

[14]  Daniel C. Dennett.  Elbow Room: The Varieties of Free Will Worth Wanting , 1984 .

[15]  W. Thurston.  On Proof and Progress in Mathematics , 1994, math/9404236.

[16]  R. Hersh.  What is Mathematics, Really? , 1998 .

[17]  S. Dehaene,et al.  The Number Sense: How the Mind Creates Mathematics. , 1998 .

[18]  P. Thompson.  The nature and role of intuition in mathematical epistemology , 1998 .

[19]  G. Lakoff,et al.  Philosophy in the flesh : the embodied mind and its challenge to Western thought , 1999 .

[20]  John F. Sowa,et al.  Review of Philosophy in the flesh: the embodied mind and its challenge to western thought by George Lakoff and Mark Johnson. Basic Books 1999. , 1999 .

[21]  R. Jackendoff.  Possible stages in the evolution of the language capacity , 1999, Trends in Cognitive Sciences.

[22]  S. Pinker.  How the Mind Works , 1999, Annals of the New York Academy of Sciences.

[23]  Csaba Veres,et al.  The perceived intentionality of groups , 1999, Cognition.

[24]  Gerd Gigerenzer,et al.  Adaptive Thinking: Rationality in the Real World , 2000 .

[25]  Daina Taimina,et al.  Experiencing Geometry: In Euclidean, Spherical and Hyperbolic Spaces , 2000 .

[26]  E. Miller,et al.  THE PREFRONTAL CORTEX AND COGNITIVE CONTROL , 2000 .

[27]  Keith Devlin,et al.  The math gene: How mathematical thinking evolved and why numbers are like gossip , 2002 .

[28]  Martin A. Nowak,et al.  The evolution of syntactic communication , 2000, Nature.

[29]  E. Miller,et al.  The prefontral cortex and cognitive control , 2000, Nature Reviews Neuroscience.

[30]  Frances R. Curcio,et al.  The Roles of Representation in School Mathematics: 2001 Yearbook , 2001 .

[31]  J. Grady.  Philosophy in the Flesh: The Embodied Mind and its Challenge to Western Thought , 2002 .

[32]  N. Koblitz,et al.  Radical Equations: Math Literacy and Civil Rights 328 Notices of the Ams Volume 49, Number 3 Radical Equations: Math Literacy and Civil Rights , 2022 .