WHAT EMBODIMENT FOR HIGH-LEVEL COGNITION? Rafael E. Núñez University of California at Berkeley University of Freiburg The term "Embodiment" has become very relevant in the contemporary study of the mind. Among others, it brings to the foreground, the primacy of action in real time/worlds, as well as the peculiarities of the biology of bodies (and the experiences they sustain) as inherent grounding for minds. The study of high-level cognition (e.g., natural language understanding, mathematical thinking) poses important scientific problems to the embodied oriented approaches to the study of the mind. For instance, one needs to take into account species-specific genetically determined biological features (i.e., Homo Sapiens' morphology, biophysics, neuroanatomy, and so on) which are fifty thousands years old, and with this apparatus explain huge variations of ideas, conceptual structures, and forms of reasoning. Concretely speaking, this is like asking questions such as, What kind of "embodiment" allows a twentieth century mathematician to reason about transfinite numbers, that wasn't available to Archimedes, Galileo, or Descartes? Were their body/brains different? In precisely what aspects? The answer to such questions require an approach that is evolutionary and biologically tenable, AND at the same time that allows for cultural and historical variations. Some interesting ideas to address these questions come from contemporary cognitive linguistics (conceptual metaphor and blend theory) and psychology (speech-gesture coordination). In this talk I will explore some of these issues bringing research data of my own work in mathematical cognition (co-developed with George Lakoff in Berkeley), and in cross-cultural psycho-linguistics (from a project I am conducting in the Andes' highlands with the Aymara people). Rafael E. Núñez is currently at the Department of Psychology of the University of Freiburg, and is a research associate of the University of California at Berkeley. He has worked for more than a decade on the foundations of embodied cognition, with special research into the nature and origin of mathematical concepts. He has published in several languages in a variety of areas, and has taught in leading academic institutions in Europe, USA, and South America. He is the co-editor (with Walter J. Freeman) of Reclaiming Cognition: The Primacy of Action, Intention and Emotion, and co-author (with George Lakoff) of the forthcoming book Where Mathematics Comes From: How the Embodied Mind Brings Mathematics Into Being.