Francis Bacon (15611626) wrote that good scientists are not like ants (mindlessly gathering data) or spiders (spinning empty theories). Instead, they are like bees, transforming nature into a nourishing product. This essay examines Bacon's "middle way" by elucidating the means he proposes to turn experience and insight into understanding. The human intellect relies on "machines" to extend perceptual limits, check impulsive imaginations, and reveal nature's latent causal structure, or "forms." This constructivist interpretation is not intended to supplant inductivist or experimentalist (...) interpretations, but is designed to explicate Bacon's account of science as a collaborative project with several interdependent methodological goals. (shrink)

The instability inherent in the historical inventory of mathematical objects challenges philosophers. Naturalism suggests we can construct enduring answers to ontological questions through an investigation of the processes whereby mathematical objects come into existence. Patterns of historical development suggest that mathematical objects undergo an intelligible process of reification in tandem with notational innovation. Investigating changes in mathematical languages is a necessary first step towards a viable ontology. For this reason, scholars should not modernize historical texts without caution, as the use (...) of anachronistic notation tends to impede, rather than enhance, our ability to recognize the emergent nature of mathematical objects. (shrink)

Westworld calls attention to the fact that freedom comes in kinds as well as in degrees, something philosophers have been trying to explain for as long as people can remember. This chapter explains how distinct Westworld's characters are from each other, and how fresh and real their agonies feel despite reliance on well‐worn tropes. As monstrous humans and hosts play out their hideous fictions but shed tears as they meet their even more horrible fates. One of the premises that makes (...) Westworld work is that hosts are programmed to ignore anything that might disrupt their continued belief in who they are meant to be. The most salient moral of Westworld is that agency and purpose come in endless varieties, wondrous to behold. The constraints upon Westworld's residents and guests remind us that humans live in inherited institutions and internalize one another's ideas. (shrink)

This essay discusses the unity of mathematics by comparing the philosophies of Mill and Frege. While Mill is remembered as a progressive social thinker, his contributions to the development of logic are less widely heralded. In contrast, Frege made important and lasting contributions to the development of logic while his social thought, what little is known of it, was very conservative. Two theses are presented in the paper. The first is that in order to pursue Mill’s progressive sociopolitical project, one (...) must embrace Frege’s distinction between logic and psychology. The second thesis is that in order to pursue Frege’s project of accounting for the unity of mathematics, we must understand mathematics as a human activity and consider the role that history and psychology play in the growth of mathematics. (shrink)

When rare documents are collected and reprinted as Opere, Oeuvres, and Gesammelte Schriften, new diagrams are introduced. For the most part the new are faithful reproductions of the old. Sometimes, however, editors correct or simplify diagrams. Thus, before one writes, “so-and-so represents the area to be squared by seven parallelograms,” the more meticulous among us make a before-and-after comparison to insure that the “So-and-so” dividing the space is in fact the mathematician under scrutiny, and not some subsequent draftsman. This underlines (...) the importance of the facsimile edition. (shrink)

This book has two parts. The first presents original philosophical considerations for rejecting most traditional, platonism, idealism, formalism, naturalism, etc. Only two find favor, pragmatism an...