10 maggio 2017: Double session - Marta Campdelacreu, Ciro De Florio & Luca Zanetti
OntoForMat FIRB Project "Classical Paradigms and Theoretical Foundation in Contemporary Research in Formal and Material Ontology"
OMS: OntoforMat Metaphysical Seminar - Spring 2017
10 maggio 2017
Sala Enzo Paci, Direzione del Dipartimento di Filosofia, via Festa del Perdono 7.
Università degli Studi di Milano
Marta Campdelacreu (University of Barcelona - Logos)
Can Constitutionalists Solve The Problem of Cheap Indeterminism and The Grounding Problem Simultaneously?
h. 14:30 - 15:45
Consider the following theses and the following problem. First, constitutionalism, the thesis that two ordinary middle-sized material objects such as a statue and the piece of marble of which it is made are two different coincident objects which stand (while they coincide) in the constitution relation. Second, the grounding problem affecting this view: how can these objects differ in some of their properties, such as modal or sortal properties, if they are coincident (and so they share their matter, shape, configuration, etc.)? Third, the thesis of (in)determinism. Broadly speaking, a world is deterministic iff at all times in the world’s history there is only one way in which the world can evolve that is compatible with its laws of nature. Thomas Sattig, in (Sattig 2014, 2015), argues that if constitutionalism is correct, then our world (and worlds like ours) is indeterministic just in virtue of ordinary facts about ordinary middle-sized material objects. However, as he claims, the question of determinism of the actual world does not seem to be a question which can be answered in this easy, ordinary, way. This is the problem of cheap indeterminism. After presenting the problem of cheap indeterminism Sattig states that, in fact, he believes constitutionalists can solve it, but at the price of having to abandon a very promising way to solve the grounding problem. That is to say, constitutionalists cannot solve the problem of cheap indeterminism and the grounding problem simultaneously. Now, after presenting Sattig’s arguments, I will argue that, against his claims, constitutionalists can solve the problem of cheap indeterminism and the grounding problem simultaneously. More precisely, what I will show is that two recent and attractive types of solutions to the grounding problem, defended by Kathrin Koslicki, in (Koslicki 2008), and Noël Saenz, in (Saenz 2015), can be supplemented adequately so that constitutionalists can solve, at the same time, Sattig’s problem of cheap indeterminism.
Ciro De Florio (Catholic University of Milan) & Luca Zanetti (IUSS Pavia)
Grounding and Arithmetic
h. 16:00 - 17:15
Over the last fifty years, philosophy of mathematics has been dominated by the meta-ontological stance according to which one (and maybe the most) fundamental problem is the existence of mathematical objects and our epistemic access to them. According to the alternative, neo-Aristotelian approach pursued by Shaffer, Rosen, Fine, and others, questions about existence should be almost uniformly replaced by questions about how things exist, that is, by questions about what grounds what. But even though this latter approach should be equally relevant to all areas of metaphysics, there have still been few attempts to extend it to the Platonism/nominalism debate. The aim of this (preliminary) work is to analyze some possible outcomes of the grounding approach as applied to the ontology of mathematics, with particular attention to the structuralist and the neo-logicist ontology of arithmetic. In the last sections we tackle the problem of multiple foundations. The problem is roughly this: supposed that structuralism and neo-logicism both provide an account of the metaphysical basis of arithmetical facts, which (if any) is the right one? After some preliminary remarks on how the questions should be settled, we explore various options for the friend of the grounding approach. The solution that we discuss at the end makes a crucial use of structural abstraction principles.
La conferenza si terrà in inglese.
La partecipazione alla conferenza è fortemente consigliata agli allievi della Scuola di Dottorato in Filosofia e Scienze dell’Uomo.
Tutti gli interessati sono invitati a partecipare.