We outline a theory of the cognitive role of belief in absolute necessity that is normative and intended to be metaphysically neutral. We take this theory to be unique in scope since it addresses simultaneously the questions of how such belief is (properly) acquired and of how it is (properly) manifest. The acquisition and manifestation conditions for belief in absolute necessity are given univocally, in terms of complex higher-order attitudes involving two distinct kinds of supposition (A-supposing and C-supposing). It is (...) subsequently argued that the proposed acquisition and manifestation conditions are rationally interdependent, and that such harmony affords explanations of connections between different facets of belief in necessity that otherwise remain mysterious. (shrink)

I discuss Aristotle’s opening argument against Platonic Forms in _Metaphysics_ A.9, ‘the Razor’, which criticizes the introduction of Forms on the basis of an analogy with a hypothetical case of counting things. I argue for a new interpretation of this argument, and show that it involves two interesting objections against the introduction of Forms as formal causes: one concerns the completeness and the other the adequacy of such an explanatory project.

Republic 596a introduces a One over Many principle that has traditionally been considered as an argument for the existence of Forms, according to which, one Form should be posited for each like-named plurality. This interpretation was challenged by (Smith, J. A. 1917. “General Relative Clauses in Greek.” Classical Review 31: 69–71.), who interpreted it rather as a statement that each Form is unique and correlated to a plurality of things that have the same name as it. (Sedley, D. 2013. “Plato (...) and the One-over-Many Principle”, in Chiaradonna & Galluzzo 2013, 113–37.) has offered a forceful defence of Smith’s interpretation. I argue that Sedley’s defence fails and that the traditional interpretation should be preferred. (shrink)

In the first argument of Metaphysics Μ.2 against the Platonist introduction of separate mathematical objects, Aristotle purports to show that positing separate geometrical objects to explain geometrical facts generates an ‘absurd accumulation’ of geometrical objects. Interpretations of the argument have varied widely. I distinguish between two types of interpretation, corrective and non-corrective interpretations. Here I defend a new, and more systematic, non-corrective interpretation that takes the argument as a serious and very interesting challenge to the Platonist.

En Metafísica M.2 Aristóteles desarrolla diversas objeciones en contra de la introducción platónica de objetos matemáticos como substancias no-sensibles, separadas de las sensibles. Su primera objeción es de carácter doble. En primer lugar, Aristóteles argumenta que la postulación de objetos geométricos separados produce una acumulación absurda. En segundo lugar, sugiere que este argumento geométrico se puede extender al caso de las unidades y los números. En este trabajo me ocupo de explicar esta extensión aritmética. Los especialistas han interpretado esta extensión (...) de una manera que denomino “maximalista”. Aquí defiendo una interpretación distinta, “minimalista”. (shrink)