Reasoning, logic, and category mistakes

Authors

  • J. Martín Castro-Manzano Universidad Nacional Autónoma de México

DOI:

https://doi.org/10.18012/arf.2016.32457

Keywords:

Logical system, category system, product logic, ontology

Abstract

In this contribution we sketch a propositional logical system designed to represent reasoning with philosophical categories. This should be of relative interest, at least, for two reasons. In first place, the proposed system attempts to formalize the notion of category mistake; and, in second place, the system provides a formal alternative to regulate reasoning involving categories, since the propositional systems typically used to represent reasoning are unable to do that, thus allowing the introduction of category mistakes.

Downloads

Download data is not yet available.

Author Biography

J. Martín Castro-Manzano, Universidad Nacional Autónoma de México

Universidad Nacional Autónoma de México (Instituto de Investigaciones Filosóficas) m@ilto: jmcmanzano@hotmail.com

References

BOEHNER, Philoteus, Medieval logic, an outline of its development from 1250 to c. 1400, Manchester, Manchester University Press, 1952.

CHISHOLM, Roderick, On Metaphysics, Minneapolis, University of Minnesota Press, 1989.

HOFFMAN, Joshua and ROSENKRANTZ, Gary, Substance among other categories, Cambridge, Cambridge University Press, 1994.

HUSSERL, Edmund, Logical Investigations, trans. by J. N. Findlay, London, Routledge, 1913.

INGARDEN, Roman, Time and modes of being, trans. by Helen R. Michejda, Springfield, Illinois, Charles C. Thomas, 1960.

JOHANSSON, Ingvar, Ontological Investigations, New York, Routledge, 1989.

LOWE, E. J., The Four-Category Ontology: A Metaphysical Foundation for Natural Science, Oxford, Clarendon, 2006.

MARES, Edwin, Relevant logic: a philosophical interpretation, Cambridge, U.K, Cambridge University Press, 2004.

RUSSELL, Bertrand and NORTH WHITEHEAD, Alfred, Principia Mathematica, Cambridge, Cambridge University Press, 1913.

RYLE, Gilbert, The concept of mind, London, Hutchinson's University Library, 1949.

WITTGENSTEIN, Ludwig; PEARS, David; McGUINNESS, Brian, Tractatus logico-philosophicus. London, Routledge, 2001.

Published

2017-04-30

How to Cite

Castro-Manzano, J. M. (2017). Reasoning, logic, and category mistakes. Aufklärung, 4(1), p.11–23. https://doi.org/10.18012/arf.2016.32457