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Periodic Pattern of Human Knowing


Citations of non-Kairos documents (References)

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Aberdein, Andrew.  Mathematics and Argumentation. Foundations of Science, 14, 1-2, March 2009. [text]

Araujo, Tanya / Louca, Francisco.  Bargaining Clouds, or Mathematics as a Metaphoric Exploration of the Unexpected. ISEG (School of Economics and Management) Technical University of Lisbon, 2008. [text]

Arnold, Vladimir I.  Symplectization, Complexification and Mathematical Trinities, 1997.. [text]

Arnold, Vladimir I.  Polymathematics: is mathematics a single science or a set of arts?, in Mathematics: Frontiers and Perspectives (ed. V. Arnol'd, M. Atiyah, P. Lax and B. Mazur), American M ath. Soc., 1999, pp. 403-416..

Asperti, Andréa / Bancerek, Grzegorz / Trybulec, Andrzej.  Mathematical knowledge management: third international conference, MKM 2004. Springer, 2004.

Baez, John.  Categories, Quantization and Much More. 2006. [text]

Baez, John / Dolan, James.  Higher-dimensional algebra and topological quantum field theory, Jour. Math. Phys. 36 (1995), 6073-6105.. [text]

Baez, John / Dolan, James.  Categorification. In: Getzler, Ezra; Kapranov, Mikhail, Higher Category Theory, Contemp. Math., 230, American Mathematical Society, 1998. [text]

Barrow, John D.  Pi in the Sky: Counting, Thinking and Being. Back Bay Books, 1992. [review]

Bartels, Toby.  k-tuply monoidal n-category. 2009. [text]

Bateson, Gregory / Bateson, Mary Catherine.  Angels Fear: towards an epistemology of the sacred. University of Chicago Press, 1988.

Butterworth, Brian.  What Counts: how every brain is hardwired for math. Free Press, 1999.

Byers, William.  How Mathematicians Think: using ambiguity, contradiction and paradox to create mathematics. Princeton University Press, 2007. [extracts]

Cheng, Eugenia / Gurski, Nick.  The periodic table of n-categories for low dimensions I: degenerate categories and degenerate bicategories. 2007. [text]

Cheng, Eugenia / Lauda, Aaron.  Higher-Dimensional Categories: an illustrated guide book. University of Cambridge, 2004. [text]

Cheng, Eugenia.  Higher-Dimensional Category Theory: the architecture of mathematics. 2000. [text]

Coleman, A. John.  Groups and Physics: Dogmatic Opinions of a Senior Citizen. Notices of the AMS, 44, 1997, 1. [text]

Cook, N. D.  The Attenuation of the Periodic Table. Modren Physics Letters A, Vol. 5, no. 17, 1990, PP. 1321-8. [text]

Corfield, David.  Towards a Philosophy of Real Mathematics. Cambridge University Press, 2003..

Corfield, David.  Mathematical Kinds, or Being Kind to Mathematics, Philosophica, 74 (2004) pp. 37-62). [text]

Corfield, David.  Categorification as a Heuristic Device, in D. Gillies and C. Cellucci (Eds.) Mathematical Reasoning and Heuristics, King's College Publications, 2005.

Davenport, James Harold / Buchberger, Bruno  (Eds.).    Mathematical knowledge management: second international conference (MKM 2003, Bertinoro, Italy, 2003). Springer, 2003. [extracts]

Davis, Philip J. / Hersh, Reuben.  The Mathematical Experience. Houghton Mifflin, 1981.

Devlin, Keith.  The Math Gene: how mathematical thinking evolved and why numbers are like gossip.Basic Books, 2001.

De Robbio, Antonella / Maguolo, Dario.  Mathematics Subject Classification and related schemes in the OAI framework. Open Archives Initiative, 2002. [PPT]

Dillon, Derek.  Notes for a Theory of the Meta-loom. The Chiang Mai Papers. [text]

Furst, F. / Leclére, M. / Trichet, F.  Ontological Engineering and Mathematical Knowledge Management: a formalization of projective geometry. Annals of Mathematics and Artificial Intelligence, 38, 1-3, May 2003, pp. 65-89. [abstract]

Garai, Jozsef.  Mathematical Formulas Describing the Sequences of the Periodic Table.International Journal of Quantum Chemistry, 108, 2008, pp. 667-670. [text]

Grebe, John J.  A Periodic Table for Fundamental Particles. Annals of the New York Academy of Sciences, Vol. 76, 1958, p. 3.

Hadamard, Jacques.  The Psychology of Invention in the Mathematical Field. Princeton University Press, 1945.

Hazewinkel, Michiel.  Mathematical Knowledge Management is needed. (Keynote speech, MKM meeting, Edinburg, 2003). [text]

Hecht, Laurence.  The Geometric Basis for the Periodicity of the Elements. 21st Century, May-June 1988, p.18.

Hersh, Reuben.  What is Mathematics, Really? Oxford University Press, 1997. [extracts]

Hersh, Reuben.  18 Unconventional Essays on the Nature of Mathematics. Springer-Verlag, 2005. [introduction]

Leach, Mark R.  The Periodic Table: What is it Showing?. Periodic Tables and The Philosophy of Science. Chemogenesis, 1999-2009. [text]

Marques, I. C.  Mathematical metaphors and politics of presence/absence" Environment and Planning. D: Society and Space 22(1), 2004, pp.71-81. [abstract]

Mormann, Thomas.  Mathematical Metaphors in Natorp's Neo-Kantian Epistemology and Philosophy of Science. In: Activity and Sign: grounding mathematics education. Springer, 2005, pp. 229-239. [abstract]

Khazan, Albert.  Upper Limit in Mendeleev's Periodic Table Element No.155. Svenska Fysikarkivet. 2009. [text]

Kibler, M. R.  A Group-Theoretical Approach to the Periodic Table of Chemical Elements: Old and New Developments. 2005. [text]

Lakoff, George / Núñez, Rafael E.  Where Mathematics Comes From: how the embodied mind brings mathematics into being. Basic Books, 2000. [summary]

Lakoff, George.  Women, Fire and Dangerous Things: what categories reveal about the mind. University of Chicago Press, 1987.

Lange, Christoph.  SWIM: A Semantic Wiki for Mathematical Knowledge Management. Computer Science, Jacobs University Bremen June 20, 2007. [text]

Lange, Christoph.  A Semantic Wiki for Mathematical Knowledge Management. Thesis, Universität Trier FB IV Informatik August 5, 2006. [text]

Lisi, A. G.  An Exceptionally Simple Theory of Everything. 2007. [text]

Manin, Yuri Ivanovich.  AMS Bookstore, 2007 [extracts].

Morgan, Gareth.  Images of Organization. Sage Publications, 1986. [extracts]

Morgan, Gareth.  Imaginization: New Mindsets for Seeing, Organizing, and Managing. Sage Publications, 1997. [summary]

Orr, Deborah.  Feminist Politics. Rowman and Littlefield, 2007. [extracts]

Ostrovsky, Valentin N.  Towards a Philosophy of Approximations in the "Exact" Sciences. HYLE--International Journal for Philosophy of Chemistry, Vol. 11, No.2 2005, pp. 101-126.. [text]

Pitman, Jim / Conrey, Brian / King, Gary.  Bibliographic Knowledge Network (Proposal submitted to the NSF Cyber-enabled Discovery and Innovation Program), 2008.. [text]

Restrepo, Guillermo / Pachon, Leonardo A.  Mathematical Aspects of the Periodic Law. Foundations of Chemistry, Volume 9, Number 2, July 2007, pp. 189-214.. [abstract]

Rouvray, Denis H. / King, R. Bruce  (Eds.).    The Periodic Table: Into the 21st Century. Research Studies, 2005.

Rouvray, Denis H. / King, R. Bruce  (Eds.).    The Mathematics of the Periodic Table. Nova Science Publishers: 2005. [contents]

Scerri, Eric R.  The Periodic Table: its story and its significance. Oxford University Press, 2006.

Sfard, Anna.  On metaphorical roots of conceptual growth. In English, L. (Ed.), Mathematical reasoning: Analogies, metaphors, and images. Erlbaum, 1997, pp. 339-371..

Sfard, Anna.  Two metaphors for learning and the dangers of choosing just one. Educational Researcher, 27, 1998, 2, pp. 4-13.
.

Sfard, Anna.  Steering (dis)course between metaphor and rigor: Using focal analysis to investigate the emergence of mathematical objects. Journal for Research in Mathematics Education, 31, 2000, 3, pp. 296-327..

Sfard, Anna.  Metaphors in education In: H. Daniels, J. Porter and H. Lauder (Eds.), Educational theories, cultures and learning: A critical perspective. Routledge, 2009, pp. 39-49.

Sfard, Anna.  Disabling Numbers: On the secret charm of the numberese and why it should be resisted. In: L. Black, h. Mendick and Y. Solomon (Eds.), Mathematical Relationships: identities and participation. Routledge, 2009.

Spencer-Brown, George.  Laws of Form. Allen and Unwin, 1969. [summary]

Tall, David.  Understanding the Processes of Advanced Mathematical Thinking. International Congress of Mathematicians, Zurich, August, 1994.. [text]

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