Megaric-Stoic Logic

Possibility and Necessity as Alethic Operators

Authors

  • José Alejandro Fernández Cuesta Complutense University of Madrid

DOI:

https://doi.org/10.37467/gka-revhuman.v.2841

Keywords:

Megaric-Stoic logic, Accessibility relationship, True logical constants, History of modal logic, Ancient Greek logic, Philosophy of modal logic

Abstract

In this article, we introduce a possible way to interpret the possibility and necessity notions developed within the Megaric-Stoic logic as alethic modal operators. Megaric-Stoic semantics will be introduced as metaphysical background for necessity and possibility definitions and arguments will be offered in order to give up the prevailing interpretations which include ad hoc variables. After proposing the survey of Diodorus definitions from relational modal semantics, a series of topics that deserve to be revisited from this perspective will be pointed out.

References

Benítez, A. (2015). Lógicas no clásicas. Una introducción. Escolar y Mayo Editores.

Bocheński, I. M. (1963). Ancient Formal Logic. North-Holland Publish Co.

Coxon, A. H. (1986). The fragments of Parmenides. A critical text with introduction, the ancient testimonia and commentary. Van Gorcum.

de Harven, V. (2016). Necessity, Possibility and Determinism in Stoic Thought en Cresswell, M., Mares, E. y Rini, A., Logical Modalities from Aristotle to Carnap: The Story of Necessity (pp. 70-90). Cambridge University Press. DOI: https://doi.org/10.1017/CBO9781139939553.005

Diels, H. (1906). Die Fragmente der Vorsokratiker. Weidmannsche Buchhandlung y Kranz, W. ed. (1952), sexta edición revisada con adiciones e índice.

Goldblatt, R. (1980). Diodorean modality in Minkowski spacetime. Studia Logica, 39, pp. 219-236. DOI: https://doi.org/10.1007/BF00370321

Hintikka, J. (1962). Knowledge and Belief. Cornell University Press.

KnealeW. y M. (1962). The Development of Logic. Oxford University Press.

Kripke, S. (1963). Semantical Considerations on Modal Logic. Acta Philosophica Fennica, 16, pp. 83-94.

Lewis, C. I. (1918). A Survey of Symbolic Logic. University of California Press.

Mates, B. (1973). Lógica de los Estoicos. (M. García Baró, Trad.). Tecnos. (Obra original publicado en 1985)

Prior, A. (1955). Diodoran Modalities. Philosophical Quarterly, vol. 5, pp. 205–213. DOI: https://doi.org/10.2307/2957434

Las fuentes clásicas no especificadas se citan en su edición canónica:

Damascio, De principiis.

Simplicio, Física.

Teofrasto, Physikoi dóxai.

Alejandro de Afrodisias, Comentario a los Analíticos Primeros de Aristóteles Libro Primero, I.

Aristóteles, Sobre la interpretación.

Aristóteles, Analíticos primeros.

Aristóteles, Metafísica.

Downloads

Published

2021-09-17

How to Cite

Fernández Cuesta, J. A. (2021). Megaric-Stoic Logic: Possibility and Necessity as Alethic Operators. HUMAN REVIEW. International Humanities Review / Revista Internacional De Humanidades, 10, 261–270. https://doi.org/10.37467/gka-revhuman.v.2841

Issue

Vol. 10 (2021): Special Issue - Ancient Greece. Anniversary of 2,500 years of Greek Legacy

Section

Research articles

License

Those authors who publish in this journal accept the following terms:

  1. Authors will keep the moral right of the work and they will transfer the commercial rights.
  2. After 1 year from publication, the work shall thereafter be open access online on our website, but will retain copyright.
  3. In the event that the authors wish to assign an Creative Commons (CC) license, they may request it by writing to publishing@eagora.org