Arbitrary Reference in Logic and Mathematics

Massimiliano Carrara is a professor of Logic at the University of Padua, Italy, and serves as a visiting professor at the USI in Lugano, Switzerland. His scholarly focus encompasses logic and the philosophy of logic, alongside an active engagement in analytic metaphysics. He is one of the editors of "Individuals, Essence, and Identity: Themes of Analytic Metaphysics," published by Springer (2002). Additionally, he contributed as an editor to "Unity and Plurality: Logic, Philosophy, and Linguistics,” (Oxford University Press, 2016).Enrico Martino was Associate Professor of Logic at the University of Padua, Italy. His main interests are philosophy of logic and philosophy of mathematics. He has written papers for the Journal of Philosophical Logic, Topoi, Studia Logica, Review of Symbolic Logic, History and Philosophy of Logic and the Grazer of Philosohische Studien.

• Preface.- 1. On Arbitrary Reference.- 2. On Plural Arbitrary Reference.- 3. On Arbitrary Fictional Models.- 4. Second-Order Logic and Plural Arbitrary Reference.- 5. Logical Concepts and Plural Arbitrary Reference.- 6. Plural Arbitrary Reference and mereology.- 7. Grounding Megethology on Plural Arbitrary Reference.- 8. The Mereological foundation of Megethology.- 9. Final ruminations.- Index.