Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 37
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Denisova, Kristina Feldman, Jacob Su, Xiaotao and Singh, Manish 2016. Investigating shape representation using sensitivity to part- and axis-based transformations. Vision Research,

    Smith, J. Zakrzewski, Alexandria Johnson, Jennifer Valleau, Jeanette and Church, Barbara 2016. Categorization: The View from Animal Cognition. Behavioral Sciences, Vol. 6, Issue. 2, p. 12.

    Cheng, Ken 2015. Answer (in part) blowing in the wind. Physics of Life Reviews, Vol. 14, p. 90.

    Hipólito, Inês 2015. Proof phenomenon as a function of the phenomenology of proving. Progress in Biophysics and Molecular Biology, Vol. 119, Issue. 3, p. 360.

    O'Connor, Zena 2015. Colour, contrast and gestalt theories of perception: The impact in contemporary visual communications design. Color Research & Application, Vol. 40, Issue. 1, p. 85.

    Al-Suwailem, Sami 2014. Complexity and endogenous instability. Research in International Business and Finance, Vol. 30, p. 393.

    Debiec, Jacek 2014. On the Use of Philosophical Frameworks of Subjective Time and Time Perception in the Neuroscientific Research. Timing & Time Perception, Vol. 2, Issue. 3, p. 305.

    Fawcett, Tim W. Fallenstein, Benja Higginson, Andrew D. Houston, Alasdair I. Mallpress, Dave E.W. Trimmer, Pete C. and McNamara, John M. 2014. The evolution of decision rules in complex environments. Trends in Cognitive Sciences, Vol. 18, Issue. 3, p. 153.

    Purves, Dale Monson, Brian B. Sundararajan, Janani and Wojtach, William T. 2014. How biological vision succeeds in the physical world. Proceedings of the National Academy of Sciences, Vol. 111, Issue. 13, p. 4750.

    Honing, Henkjan 2013. The Psychology of Music.

    Malt, Barbara C. and Majid, Asifa 2013. How thought is mapped into words. Wiley Interdisciplinary Reviews: Cognitive Science, p. n/a.

    Kennedy, Henry and Dehay, Colette 2012. Evolution of the Primate Brain.

    Levitin, D. J. Chordia, P. and Menon, V. 2012. Musical rhythm spectra from Bach to Joplin obey a 1/f power law. Proceedings of the National Academy of Sciences, Vol. 109, Issue. 10, p. 3716.

    Saygin, Ayse Pinar Chaminade, Thierry Ishiguro, Hiroshi Driver, Jon and Frith, Chris 2012. The thing that should not be: predictive coding and the uncanny valley in perceiving human and humanoid robot actions. Social Cognitive and Affective Neuroscience, Vol. 7, Issue. 4, p. 413.

    Wilke, A. and Mata, R. 2012. Encyclopedia of Human Behavior.

    Dehaene, Stanislas and Brannon, Elizabeth M. 2011. Space, Time and Number in the Brain.

    Gaißert, Nina Bülthoff, Heinrich H. and Wallraven, Christian 2011. Similarity and categorization: From vision to touch. Acta Psychologica, Vol. 138, Issue. 1, p. 219.

    Izard, V. Pica, P. Spelke, E. S. and Dehaene, S. 2011. Flexible intuitions of Euclidean geometry in an Amazonian indigene group. Proceedings of the National Academy of Sciences, Vol. 108, Issue. 24, p. 9782.

    Dehaene, Stanislas and Brannon, Elizabeth M. 2010. Space, time, and number: a Kantian research program. Trends in Cognitive Sciences, Vol. 14, Issue. 12, p. 517.

    Gaissert, Nina and Wallraven, Christian 2010. 2010 IEEE Haptics Symposium. p. 35.


Perceptual-cognitive universals as reflections of the world

  • Roger N. Shepard (a1)
  • DOI:
  • Published online: 01 August 2001

The universality, invariance, and elegance of principles governing the universe may be reflected in principles of the minds that have evolved in that universe – provided that the mental principles are formulated with respect to the abstract spaces appropriate for the representation of biologically significant objects and their properties. (1) Positions and motions of objects conserve their shapes in the geometrically fullest and simplest way when represented as points and connecting geodesic paths in the six-dimensional manifold jointly determined by the Euclidean group of three-dimensional space and the symmetry group of each object. (2) Colors of objects attain constancy when represented as points in a three-dimensional vector space in which each variation in natural illumination is canceled by application of its inverse from the three-dimensional linear group of terrestrial transformations of the invariant solar source. (3) Kinds of objects support optimal generalization and categorization when represented, in an evolutionarily-shaped space of possible objects, as connected regions with associated weights determined by Bayesian revision of maximum-entropy priors.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Behavioral and Brain Sciences
  • ISSN: 0140-525X
  • EISSN: 1469-1825
  • URL: /core/journals/behavioral-and-brain-sciences
Please enter your name
Please enter a valid email address
Who would you like to send this to? *