
795Rethinking inconsistent mathematicsDissertation, Ruhr University Bochum. 2023.This dissertation has two main goals. The first is to provide a practicebased analysis of the field of inconsistent mathematics: what motivates it? what role does logic have in it? what distinguishes it from classical mathematics? is it alternative or revolutionary? The second goal is to introduce and defend a new conception of inconsistent mathematics  queer incomaths  as a particularly effective answer to feminist critiques of classical logic and mathematics. This sets the stage for a genui…Read more

46The liberation argument for inconsistent mathematicsAustralasian Journal of Logic 29 (2): 278315. 2023.Val Plumwood charged classical logic not only with the invalidity of some of its laws, but also with the support of systemic oppression through naturalization of the logical structure of dualisms. In this paper I show that the latter charge  unlike the former  can be carried over to classical mathematics, and I propose a new conception of inconsistent mathematics  queer incomaths  as a liberatory activity meant to undermine said naturalization.

43The Contribution of Logic to Epistemic InjusticeSocial Epistemology. forthcoming.While much has been said on the connection between dominant rationality standards and systemic oppression, the specific role of logic in supporting epistemic injustice has not received much explicit attention. In this paper I highlight several ways in which it is possible for logic – as a discipline, as a particular system and as a gloss for rational common sense – to be implicated in epistemic injustice. Concrete examples are given for testimonial, contentbas…Read more

32Consistent Theories in Inconsistent LogicsJournal of Philosophical Logic 52 (04): 11331148. 2023.The relationship between logics with sets of theorems including contradictions (“inconsistent logics”) and theories closed under such logics is investigated. It is noted that if we take “theories” to be defined in terms of deductive closure understood in a way somewhat different from the standard, Tarskian, one, inconsistent logics can have consistent theories. That is, we can find some sets of formulas the closure of which under some inconsistent logic need not contain any contradictions. We pr…Read more

18Three Misrepresentations of Feminist Logic: A Response to BarcelóSocial Epistemology Review and Reply Collective 13 (6): 4452. 2024.Axel A. Barceló takes issue with my discussion of the dominant gender conception—according to which “woman” is the classical negation of “man”—as an example of logicbased hermeneutical injustice. His arguments are embedded in a more general critique of revisionist projects within feminist logic. [...] Barceló’s particular response relies on a number of assumptions which I think are worth pushing back against. In particular, I will argue that feminist logical revisionism does not depend on givin…Read more

17Critical Math Kinds: A Framework for the Philosophy of Alternative MathematicsErkenntnis 121. forthcoming.Mathematics, even more than the other sciences, is often presented as essentially unique, as if it could not be any other way. And yet, prima facie alternative mathematics are all over the place, from nonWestern mathematics to mathematics based on nonclassical logics. Taking inspiration from Robin Dembroﬀ’s analysis of critical gender kinds, and from Andrew Aberdein and Stephen Read’s analysis of alternative logics, in this paper I will introduce a practicecentered framework for the study of a…Read more

The paper is structured as follows. First, I will single out three salient moments of trans philosophy, drawing on both my own experience as a trans person and the various attempts to theorize transness as laid out by Talia Mae Bettcher's "Trapped in the Wrong Theory". From there, I will extrapolate three ways to see the relationship between logic and trans philosophy, and provide for each some examples of both current and possible future work. Finally, in analogy with the literature on feminist…Read more

University of PaduaDepartment of Philosophy, Sociology, Education and Applied PsychologyPostdoctoral Fellow
RuhrUniversität Bochum
PhD, 2023
Padua, Italy