Argumenta – Journal of Analytic Philosophy


Is the de Finetti Conditional a Conditional?

Issue: • Author/s: Hitoshi Omori, Jonas R. Becker Arenhart
Topics: Logic, Philosophical logic, Philosophy of mathematics, Theoretical philosophy

In this paper, we apply a Herzberger-style semantics to deal with the question: is the de Finetti conditional a conditional? The question is pressing, in view of the inferential behavior of the de Finetti conditional: it allows for inferences that seem quite unexpected for a conditional. The semantics we advance here for the de Finetti conditional is simply the classical semantics for material conditional, with a further dimension whose understanding depends on the kind of application one has in mind. We discuss such possible applications and how they cover ground…

Cohabiting with the Logical Paradoxes: A Negative Assessment and a Proposal [Special Issue]

Issue: Issue 16 • Author/s: Riccardo Bruni, Francesco Orilia
Topics: Epistemology, Logic, Metaphysics, Philosophical logic, Philosophy of language, Theoretical philosophy

At the commonsensical level of the manifest image, we seem to take for granted logical laws of all sorts, including classical logic (CL) and naive principles of truth and predication (TP), which, however, generate logical paradoxes such as the liar, Russell’s paradox and Curry’s paradox. The formal logic of the scientific image comes to the rescue by proposing many competing formal systems that restore consistency, by sacrificing either principles of CL or principles of TP. We wish to explore a different path, which aims at saving both CL and TP,…

A Hierarchical Characterization of Ignorance in Epistemic Logic [Special Issue]

Issue: Issue 16 • Author/s: Alessandro Aldini, Pierluigi Graziani, Mirko Tagliaferri
Topics: Epistemology, Logic, Modal Logic, Philosophy of language, Theoretical philosophy

We study different forms of ignorance and their correlations in a bi-modal logical language expressing the two modalities of knowledge and belief. In particular, we are mainly interested in clarifying which definitions of ignorance and which circumstances trigger higher-order forms of ignorance, inducing ignorance about ignorance and so on. To this aim, three ground conditions concerning knowledge and belief are presented, which may be seen as a cause of ignorance and can help us to identify the conditions enabling the emergence of higher-order forms of ignorance.

In Defense of Irreducible Relations [Special Issue]

Issue: Issue 16 • Author/s: Francesco Orilia, Michele Paolini Paoletti
Topics: Epistemology, Logic, Metaphysics, Ontology, Philosophy of language

At least since Russell, mainstream analytic philosophy has distinguished internal and external relations and acknowledged the existence of both. This seems in line with both the manifest and scientific images of the world. However, there is a recent deflationary trend about relations, which focuses on the truthmakers of relational statements in order to show that putative external relations are in fact internal, and that internal relations do not really exist. Lowe’s posthumous 2016 paper is a thorough presentation of this line of thought. This article critically analyzes Lowe’s arguments in…

Reconsidering an Ontology of Properties for Quantum Theories [Special Issue]

Issue: Issue 16 • Author/s: Emanuele Rossanese
Topics: Epistemology, Logic, Metaphysics, Ontology, Philosophy of science

Da Costa, Lombardi and Lastiri (2013) have proposed an ontology of properties for non-relativistic quantum mechanics within the structure of the modal-Hamiltonian interpretation of the theory. Recently, this proposal has been developed in order to discuss the nature of entanglement and indistinguishability in such an ontology (Fortin and Lombardi 2022) and to explain how particles emerge from an ontology of properties (Lombardi and Dieks 2016). Oldofredi (2021) has also proposed an ontology of properties for Relational Quantum Mechanics. The aim of my paper is then to discuss an ontology of…