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Aristotle’s Relations: An Interpretation in Combinatory Logic

In: Axiomatic Thinking I

Author

Listed:
  • Erwin Engeler

    (Eidgenössische Technische Hochschule)

Abstract

The usual modelling of the syllogisms of the Organon by a calculus of classes does not include relations. Aristotle may however have envisioned them in the first two books as the category of relatives, where he allowed them to compose with themselves. Composition is the main operation in combinatory logic, which therefore offers itself to logicians for a new kind of modelling. The resulting calculus includes also composition of predicates by the logical connectives.

Suggested Citation

  • Erwin Engeler, 2022. "Aristotle’s Relations: An Interpretation in Combinatory Logic," Springer Books, in: Fernando Ferreira & Reinhard Kahle & Giovanni Sommaruga (ed.), Axiomatic Thinking I, chapter 0, pages 63-81, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-77657-2_5
    DOI: 10.1007/978-3-030-77657-2_5
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