•  191
    On Jain Anekantavada and Pluralism in Philosophy of Mathematics
    International School for Jain Studies-Transactions 2 (3): 13-20. 2019.
    I claim that a relatively new position in philosophy of mathematics, pluralism, overlaps in striking ways with the much older Jain doctrine of anekantavada and the associated doctrines of nyayavada and syadvada. I first outline the pluralist position, following this with a sketch of the Jain doctrine of anekantavada. I then note the srrong points of overlaps and the morals of this comparison of pluralism and anekantavada.
  •  64
    Book Review: Samuel Lebens (2017) "Bertrand Russell and the Nature of Propositions: a History and Defense of the Multiple Relation Theory of Judgement"
  •  52
    Śāntarakṣita and Kamalaśīla on the Jain Theory of Self
    with James Duerlinger and Siddarth Singh
    Indian International Journal of Buddhist Studies 16 63-89. 2015.
  •  37
    Word choice in mathematical practice: a case study in polyhedra
    with Lowell Abrams
    Synthese 1-29. 2019.
    We examine the influence of word choices on mathematical practice, i.e. in developing definitions, theorems, and proofs. As a case study, we consider Euclid’s and Euler’s word choices in their influential developments of geometry and, in particular, their use of the term ‘polyhedron’. Then, jumping to the twentieth century, we look at word choices surrounding the use of the term ‘polyhedron’ in the work of Coxeter and of Grünbaum. We also consider a recent and explicit conflict of approach betwe…Read more
  •  25
    A Case Study in Formalizing Contingent a priori Claims
    Res Philosophica 97 (4): 571-591. 2020.
    Some philosophers, like Kripke, Williamson, Hawthorne, and Turri, have offered examples of claims that are allegedly contingent and a priori justifiable. If any of these examples is genuine, this would upend the traditional epistemological classification on which (a) all and only a priori justifiable claims are necessary and (b) all and only a posteriori ones are contingent. I argue here that these examples are not genuine. This conclusion is not new, but the strategy pursued here is to formaliz…Read more
  •  17
    A New Metaphysics of Sense-Data
    Logos and Episteme 8 (3): 359-363. 2017.
    I critically discuss a new proposal for a metaphysics of sense-data. This proposal is due to Peter Forrest. Forrest argues that, if we accept Platonism about universals, sense-data are best understood as structured universals–in particular, as structured universals with temporal and spatial properties as components. Against this proposal, I argue sense-data as structured universals are not universals at all.
  •  16
    The search for logical forms: in defense of logical atomism
    Dissertation, University of Iowa. 2018.
    I here defend logical atomism. This defense rests on reinterpreting logical atomism as a search for logical forms. This reinterpretation has two parts comprising six chapters. In the first part, I do some historically-driven recovery. In the introduction, I review the literature on Russell's logical atomism. In Chapter 1, I argue that the dominant interpretation of logical atomism is wrong on historical grounds: it accounts for neither the history of logical atomism nor for crucial elements of t…Read more
  •  14
    This book offers a comprehensive critical survey of issues of historical interpretation and evaluation in Bertrand Russell's 1918 logical atomism lectures and logical atomism itself. These lectures record the culmination of Russell's thought in response to discussions with Wittgenstein on the nature of judgement and philosophy of logic and with Moore and other philosophical realists about epistemology and ontological atomism, and to Whitehead and Russell’s novel extension of revolutionary ninete…Read more
  •  12
    On Russell's Logical Atomism
    In Landon D. C. Elkind & Gregory Landini (eds.), The Philosophy of Logical Atomism: A Centenary Reappraisal, . pp. 3-37. 2018.
    I characterize and argue against the standard interpretation of logical atomism. The argument against this reading is historical: the standard interpretation of logical atomism (1) fails to explain how the view is inspired by nineteenth-century developments in mathematics, (2) fails to explain how logic is central to logical atomism, and (3) fails to explain how logical atomism is a revolutionary and new "scientific philosophy." In short, the standard interpretation is a bad history of logical a…Read more
  •  12
    Fraser MacBride, On the Genealogy of Universals: The Metaphysical Origins of Analytic Philosophy
    Journal for the History of Analytical Philosophy 8 (8). 2020.
    Reviewed by Landon D. C. Elkind.
  •  9
    Why Russell Was Not an Epistemic Structural Realist
    Russell: The Journal of Bertrand Russell Studies 40 5-26. 2020.
    Bertrand Russell’s work in philosophy of science has been identified as a progenitor of structuralism in contemporary philosophy. It is often unclear, however, how the philosophical problems facing contemporary structuralist programmes relate to the problems of philosophy as Russell saw them. We contend that Russell has been mistakenly identified as an epistemic structural realist. The goal of this essay is to clarify the relationship between Russell’s programme and contemporary structuralist pr…Read more
  •  7
    Bertrand Russell on Something
    Philosophy Now 120 21-22. 2017.