Encyclopedia of Sciences and Religions

2013 Edition
| Editors: Anne L. C. Runehov, Lluis Oviedo

Mathematics, Ancient and Medieval

Reference work entry
DOI: https://doi.org/10.1007/978-1-4020-8265-8_1273

Related Terms

 Logic;  Metaphysics

After the boost given by the Greeks to mathematics, there was a long period in which creative mathematical activity declined in Europe. During the Middle Ages (Folkerts 2003, 2006), especially outstanding were the research and discoveries regarding algebra carried out in the cultural environment of Islam.

Interactions Between Logic and Metaphysics in the Medieval Period

The Greeks introduced logical arguments in mathematics and metaphysics. Medieval Christian theologians combined Greek rationality with Christian metaphysical statements (Plantinga 1967). Among the medieval arguments about the existence of God, the  ontological argument (Hintikka 1969) shows with particular clarity the problematic relation between mathematical logic and metaphysics.

The Ontological Argument

The ontological argument is a type of reasoning on the existence of God based on metaphysical propositions about the existence of a necessary being and logical reasoning (Leach 2010)...

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References

  1. Fitting, M. (2002). Types, tableaux and Gödel’s God. Dordrecht: Kluwer Academic.Google Scholar
  2. Folkerts, M. (2003). Essays on early medieval mathematics. Aldershot: Ashgate.Google Scholar
  3. Folkerts, M. (2006). The development of mathematics in medieval Europe. Aldershot: Ashgate.Google Scholar
  4. Hintikka, J. (1969). On the logic of the ontological argument. Some elementary remarks in: Models for modalities. Dordrecht: D. Reidel.Google Scholar
  5. Leach, J. Mathematics and Religion, Our Languages of Sign and Symbol. Templeton Science and Religion Series. Templeton Press, 2010.Google Scholar
  6. Plantinga, A. (Ed.). (1965). The ontological argument: From St. Anselm to contemporary philosophers. London: Macmillan.Google Scholar
  7. Plantinga, A. (1967). God and others minds. A study of the rational justification of belief in God. Ithaca: Cornell University Press.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Facultad de Informática, Departamento de Sistemas Informáticos y ProgramaciónComplutense University of MadridMadridSpain