Not So Distinctively Mathematical Explanations: Topology and Dynamical Systems

2022, Synthese [Springer]

(Jha, A., Campbell, D., Wilson, P. & Montelle, C.)

https://link.springer.com/article/10.1007/s11229-022-03697-9

This paper argues that distinctively mathematical explanations are actually causal explanations in disguise because they sneak in reasoning about particular forces in the associated conditional.

A Mathematical Model of Dignaga’s Hetu-cakra

2020, Journal of Indian Council of Philosophical Research [Springer]

https://doi.org/10.1007/s40961-020-00217-3

This paper provides a formulation to deconstruct styles of analogical reasoning in Indian philosophy.

Are Topological Explanations Causal Explanations in Disguise?

(With Campbell, D., Montelle, C. & Wilson, P.)

This paper argues that packaging contingent causal phenomena in the antecedent of mathematical explanations does not entitle them to deemed as non-causal explanations; they are run-of-the-mill causal explanations.

A Buddhist Take on Mathematical Modelling

(Proceedings of the University of Cambridge Postgraduate Conference: Dynamical Encounters Between Buddhism and the West)

This paper argues that a perspectival, contextual and mind-dependent view of mathematical models can be read closely to the ontological middle ground proposed by Buddhist philosophers like Nagar- juna, where no concept exists independently of human thought.

The Tale of a Medieval Scroll: Mathematical Discoveries

(Part of a University of Canterbury project on the history and mathematics of medieval astronomical scroll.