Mathematical Creativity
Creativity in mathematics may look paradoxical. Mathematics is a precise science with precise rules to follow. Where is the place for creativity in this castle of precision and rigor? What meaningful (philosophical) questions can we pose about mathematical creativity today? The workshop aims to bring together mathematicians, philosophers, IT and mathematical education specialists.
Creativity in mathematics may look paradoxical. Mathematics is a precise science with precise rules to follow. Where is the place for creativity in this castle of precision and rigor? What meaningful (philosophical) questions can we pose about mathematical creativity today? The workshop aims to bring together mathematicians, philosophers, IT and mathematical education specialists.
KEYNOTE SPEAKERS
KEYNOTE SPEAKERS
University of Tel Aviv, Israel
University of Tel Aviv, Israel
"Creativity and the Limits of Poetic License: the Case of Mathematical Fiction"
"Creativity and the Limits of Poetic License: the Case of Mathematical Fiction"
Open University, Greece
Open University, Greece
"Creativity, imagination and aesthetics in mathematical proving"
"Creativity, imagination and aesthetics in mathematical proving"
SCHEDULE
SCHEDULE
THURSDAY MORNING, DECEMBER 12, 2019
THURSDAY MORNING, DECEMBER 12, 2019
- 9h45 10h30 KEYNOTE TALK Leo Corry, University of Tel Aviv, Israel. "Creativity and the Limits of Poetic License: the Case of Mathematical Fiction"
- 9h45 10h30 KEYNOTE TALK Leo Corry, University of Tel Aviv, Israel. "Creativity and the Limits of Poetic License: the Case of Mathematical Fiction"
- 10h30 11h00 Anderson Beraldo de Araújo, Federal University of ABC, São Paulo, Brazil. "Mathematical creativity as postulability"
- 10h30 11h00 Anderson Beraldo de Araújo, Federal University of ABC, São Paulo, Brazil. "Mathematical creativity as postulability"
- 11h00 11h30 COFFEE BREAK
- 11h00 11h30 COFFEE BREAK
- 11h30 12h00 Norma B. Goethe.National University of Cordoba, School of Philosophy, Argentina.
- 11h30 12h00 Norma B. Goethe.National University of Cordoba, School of Philosophy, Argentina.
"Exploration, inference and creativity: what can we learn from Leibniz's paper tools in mathematics?"
"Exploration, inference and creativity: what can we learn from Leibniz's paper tools in mathematics?"
- 12h00 12h30 Sandra Visokolskis, National University of Cordoba, School of Philosophy, Argentina.
- 12h00 12h30 Sandra Visokolskis, National University of Cordoba, School of Philosophy, Argentina.
"Transductive Mechanisms of Creative Research in Mathematics: Three Case Studies"
"Transductive Mechanisms of Creative Research in Mathematics: Three Case Studies"
- 12h30 13h00 Avgerinos Evgenios and Gridos Panagiotis University of The Aegean, Mathematics "Education and Multimedia Laboratory, Greece. Mathematical creativity in school mathematics: definitions, way to elicit and empirical insights from geometry"
- 12h30 13h00 Avgerinos Evgenios and Gridos Panagiotis University of The Aegean, Mathematics "Education and Multimedia Laboratory, Greece. Mathematical creativity in school mathematics: definitions, way to elicit and empirical insights from geometry"
THURSDAY AFTERNOON, DECEMBER 12, 2019
THURSDAY AFTERNOON, DECEMBER 12, 2019
- 14h30 15h30 KEYNOTE TALK Ioannes Vandoulakis, The University of Thessaly, Volos, Greece.
- 14h30 15h30 KEYNOTE TALK Ioannes Vandoulakis, The University of Thessaly, Volos, Greece.
"Creativity, imagination and aesthetics in mathematical proving"
"Creativity, imagination and aesthetics in mathematical proving"
- 15h30 16h00 David Fuenmayor Freie Universität Berlin, FUB Institute of Computer Science, Germany.
- 15h30 16h00 David Fuenmayor Freie Universität Berlin, FUB Institute of Computer Science, Germany.
"AI and computer powered creativity"
"AI and computer powered creativity"
- 16h00 16h30 COFFEE BREAK
- 16h00 16h30 COFFEE BREAK
- 16h30 17h30 ROUND TABLE DISCUSSION
- 16h30 17h30 ROUND TABLE DISCUSSION
CALL FOR PAPERS. WE INVITE SUBMISSIONS OF PROPOSALS INCLUDING, BUT NOT LIMITED, TO:
CALL FOR PAPERS. WE INVITE SUBMISSIONS OF PROPOSALS INCLUDING, BUT NOT LIMITED, TO:
- What is special about mathematical creativity?
- What is special about mathematical creativity?
- Creativity in the invention and deployment of mathematical rules
- Creativity in the invention and deployment of mathematical rules
- Creativity in pure and applied mathematics
- Creativity in pure and applied mathematics
- Creativity and mathematical purity
- Creativity and mathematical purity
- Creativity in the invention of notational systems
- Creativity in the invention of notational systems
- Creativity in using media and artifacts
- Creativity in using media and artifacts
- Creativity in definitions and concept formation
- Creativity in definitions and concept formation
- Creativity in proofs
- Creativity in proofs
- Creativity and aesthetics
- Creativity and aesthetics
- Creativity in metaphorical and analogical thinking
- Creativity in metaphorical and analogical thinking
- How far are we in grasping mathematical creativity by computational means?
- How far are we in grasping mathematical creativity by computational means?
SEND A ONE PAGE ABSTRACT TO starikova.irina@gmail.com BY OCTOBER 13, 2019.
SEND A ONE PAGE ABSTRACT TO starikova.irina@gmail.com BY OCTOBER 13, 2019.
Selected papers of this workshop will be published after the event in a special issue of the journal SYNTHESE.
Selected papers of this workshop will be published after the event in a special issue of the journal SYNTHESE.
REFERENCES
REFERENCES
Aizikovitsh-Udi, E. (2014). The Extent of Mathematical Creativity and Aesthetics in Solving Problems among Students Attending the Mathematically Talented Youth Program. In Creative Education 5, pp.228-241
Aizikovitsh-Udi, E. (2014). The Extent of Mathematical Creativity and Aesthetics in Solving Problems among Students Attending the Mathematically Talented Youth Program. In Creative Education 5, pp.228-241
Ervynck, G. (1991). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking (pp. 42-53). Dordrecht: Kluwer.
Ervynck, G. (1991). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking (pp. 42-53). Dordrecht: Kluwer.
Hadamard, J. (1945). Essay on the psychology of invention in the mathematical field. Princeton, NJ: Princeton University Press.
Hadamard, J. (1945). Essay on the psychology of invention in the mathematical field. Princeton, NJ: Princeton University Press.
Poincaré, H. (1948). Science and method. New York: Dover.
Poincaré, H. (1948). Science and method. New York: Dover.
Pólya, G. (1962) Mathematical Discovery: On Understanding, Learning, and Teaching Problem Solving.New York: Wiley
Pólya, G. (1962) Mathematical Discovery: On Understanding, Learning, and Teaching Problem Solving.New York: Wiley
D. Tall (Ed.) (1991). Advanced mathematical thinking. Dordrecht: Kluwer (2002 edition available on Google Books)
D. Tall (Ed.) (1991). Advanced mathematical thinking. Dordrecht: Kluwer (2002 edition available on Google Books)
Wallas, G. (1926). The art of thought. New York: Harcourt, Brace & Jovanovich.
Wallas, G. (1926). The art of thought. New York: Harcourt, Brace & Jovanovich.