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.

Does topology provide sufficient structure for distinctively mathematical explanations?

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

This paper argues that assumptions such as continuity or smoothness employed in a topological explanation are realised in the physical world only as contingent causal facts and packaging such assumptions in the conditional of a purported DME amounts to manipulating a run-of-the-mill causal explanation to appear like a non-causal explanation.

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 Indian scroll: mathematical discoveries

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