Open Access
Subscription Access
Duality in Science
Scientific concepts are unique in the way they accrue multiple meanings. This feature will be illustrated through the powerful concept of duality in science. We discuss the multiple meanings of this concept in different domains of science and analyse the duality relations found in them. The relationship between duality and symmetry, as well as with the notion of completeness, is explored to understand the many uses of the concept of duality.
Keywords
Completeness, Duality, Science, Symmetry.
User
Font Size
Information
- Levi-Strauss, C., The Savage Mind, University of Chicago Press, Chicago, USA, 1966.
- Holton, G., The Scientific Imagination: Case Studies, Cambridge University Press, 1978, pp. 7–11.
- Oudshoorn, N., Endocrinologists and the conceptualization of sex, 1920–1940. J. Hist. Biol., 1990, 23, 163–186.
- Puccetti, R., Two brains, two minds? Wigan’s theory of mental duality. Br. J. Philos. Sci., 1989, 40, 137–144.
- Benor, S. B. and Levy, R., The chicken or the egg? A probabilistic analysis of English binomials. Language, 2006, 82, 233–278.
- Quine, W. V., Methods of Logic, Holt, Rinehart and Winston, New York, USA, 1956, p. 59.
- Atiyah, M. F., Duality in mathematics and physics. In Confèrencies FME, 2007, vol. 5, pp. 69–91.
- Corfield, D., Duality as a category – theoretic concept. Stud. Hist. Philos. Sci. Part B, 2017, 59, 55–61.
- Coxeter, H. S. M., Projective Geometry, Springer-Verlag, New York, USA, 1987.
- Casse, R., Projective Geometry: An Introduction, Oxford University Press, Oxford, UK, 2006, p. 19.
- Boyer, C. B., History of analytic geometry. Scripta Math., 1956, p. 239.
- Kreyszig, E., Introductory Functional Analysis with Application, John Wiley, New York, USA, 1978, p. 3.
- MacLane, S., Duality for groups. Bull. Am. Math. Soc., 1950, 56, 485–516.
- Awodey, S., Category Theory, Oxford University Press, Oxford, UK, 2010.
- Leinster, T., Basic Category Theory, Cambridge University Press, Cambridge, UK, 2016, p. 36.
- Klein, M. J., Einstein and the wave–particle duality. Nat. Philos., 1964, 3, 3–49.
- Polchinski, J., Dualities of fields and strings. Stud. Hist. Philos. Sci. Part B, 2017, 59, 6–20.
- Castellani, E., Duality and ‘particle’ democracy. Stud. Hist. Philos. Sci. Part B, 2017, 59, 100–108.
- McCafferty, D. G. et al., Synergy and duality in peptide antibiotic mechanisms. Curr. Opin. Chem. Biol., 1999, 3, 672–680.
- Banerjee, R., The yin–yang of cobalamin biochemistry. Chem. Biol., 1997, 4, 175–186.
- Colwell, R. K., and Rangel, T. F., Hutchinson’s duality: the once and future niche. Proc. Natl. Acad. Sci., 2009, 106, 19651–19658.
- Peelo, D. F., Appendix B: principle of duality. In Current Interruption Transients Calculation, John Wiley, 2014, pp. 187–189.
- Carpinteri, A., Structural Mechanics Fundamentals, CRC Press, Florida, USA, 2014.
- Jammer, M., Concepts of Mass in Classical and Modern Physics, Dover Publication, New York, USA, 1997.
- Wittgenstein, L., Philosophical Investigations, Basil Blackwell, Oxford, UK, 1958.
- Horn, L. R. and Wansing, H., Negation. In The Stanford Encyclopedia of Philosophy (ed. Zalta, E. N.), Metaphysics Research Lab, Stanford University, USA, Spring 2017; https://plato.stanford.edu/archives/spr2017/entries/negation/
- Sarukkai, S., Philosophy of Symmetry, Indian Institute of Advanced Study, Shimla, 2004.
- Hon, G. and Goldstein, B., From Summetria to Symmetry: The Making of a Revolutionary Scientific Concept, Springer, 2008.
Abstract Views: 476
PDF Views: 131