Title: Mechanizing Principia Logico-Metaphysica in Functional Type Theory
Author, co-author: Kirchner, Daniel; Benzmüller, Christoph; Zalta, Edward N.
Abstract: Principia Logico-Metaphysica proposes a foundational logical theory for metaphysics, mathematics, and the sciences. It contains a canonical development of Abstract Object Theory [AOT], a metaphysical theory (inspired by ideas of Ernst Mally, formalized by Zalta) that differentiates between ordinary and abstract objects. This article reports on recent work in which AOT has been successfully represented and partly automated in the proof assistant system Isabelle/HOL.
Commentary: submitted for journal publication
Author, co-author: Kirchner, Daniel; Benzmüller, Christoph; Zalta, Edward N.
Abstract: Principia Logico-Metaphysica proposes a foundational logical theory for metaphysics, mathematics, and the sciences. It contains a canonical development of Abstract Object Theory [AOT], a metaphysical theory (inspired by ideas of Ernst Mally, formalized by Zalta) that differentiates between ordinary and abstract objects. This article reports on recent work in which AOT has been successfully represented and partly automated in the proof assistant system Isabelle/HOL.
Commentary: submitted for journal publication