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W.F.R. Weldon changes his mind

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Abstract

A recent debate over the causal foundations of evolutionary theory pits those who believe that natural selection causally explains long-term, adaptive population change against those who do not. In this paper, I argue that this debate – far from being an invention of several articles in 2002 – dates from our very first engagements with evolution as a quantified, statistical science. Further, when we analyze that history, we see that a pivotal figure in the early use of statistical methodology in evolutionary theory, W.F.R. Weldon (1860–1906), changes his mind about precisely the central claim at issue. I close by drawing some morals which I think the case can offer for the contemporary debate going forward.

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Notes

  1. I thank an anonymous reviewer for mentioning this potential objection.

  2. Thanks to Gregory Radick for raising this objection.

  3. It is worth noting that, while Weldon’s focus on these questions was intensified in his response to Mendel’s work, these are ideas that he developed during what I called the “period of transition” in the last subsection. Many of the basic ideas are present in a letter he writes to Galton in June, 1896 (Weldon 1896a).

  4. For a nice reconstruction of these issues in Fisher’s case, see Morrison (2002), though I am less certain that Morrison’s claims about Pearson’s lack of concern for biological detail would withstand scrutiny, and am certain that any such claims cannot justly be applied to Weldon.

  5. A series of anonymous accounts of the content of these lectures was published in The Lancet; see issues beginning with Weldon (1905a). (I follow common practice in citing them under Weldon’s name as the lecturer; the author of the accounts is unknown, even to the journal’s editors [pers. comm.].)

  6. An anonymous reviewer notes that this makes for a significant difference between Weldon and his close colleague and collaborator Pearson, who had argued on the contrary that the concept of cause is meaningless and to be replaced by something like functional or statistical dependence (Pearson 1900). Indeed, the two men differed significantly in their conceptions of causation, a disagreement which appears clearly, among other places, in the correspondence pages of Nature, and which I have described elsewhere (Pence 2015; under contract).

  7. While this is not the right context to explore the connection in detail, it is quite similar, for instance, to the question of “universality” in statistical physics; see Batterman (1998, 2000).

  8. Thanks to Marshall Abrams for raising this objection.

  9. For a delightful recounting of the debate between Galton and Maxwell over their physical nature, see Radick (2011).

  10. Morrison notes quite accurately that this is one reason that the mathematics of parent-offspring transmission remained intractable for the biometricians, and, by extension, one of the reasons that Pearson remained unable theoretically to separate genetic variation into its different sources, a feat that was much easier for Fisher (Morrison 2004, p. 1199).

  11. In one of his first papers now taken to establish the Modern Synthesis, Fisher writes that “if a complete analysis is unattainable it is also unnecessary to practical progress. […] A number of points of general interest are shown to flow from purely statistical premises” (Fisher 1922, p. 415).

  12. In response to Fisher on dominance, Wright focuses on the special cases required for Fisher’s conclusions to go through, arguing that in the absence of them, rather than being supported by statistical principles, “probably most geneticists would hold that dominance in general has some immediate physiological explanation” (Wright 1929, p. 277).

  13. It is also, interestingly, largely independent from the classic “debate between biometry and Mendelism” framing which has so dominated both historical and philosophical presentations of Pearson and Weldon.

  14. In addition to the analogy with physics mentioned above, I also lack both the space here and the expertise to pursue the similarity between this structure and that of the philosophy of mind; the only attempt, to my knowledge, to do so is Shapiro and Sober (2007).

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Acknowledgements

Prior versions of this paper benefited from comments from three reviewers. Thanks to audiences at EPSA 2019 in Geneva (especially Joe Dewhurst, Jan Potters, and Phyllis Illari), and at ISHPSSB 2019 in Oslo (especially Marshall Abrams, Greg Radick, Yafeng Shan, Mike Buttolph, and Stephen Hecht Orzack). Particular thanks, as always, to my partners in Weldoniana, Gregory Radick and Yafeng Shan, and to my guiding lights in post-Darwinian history of biology, Jon Hodge and Phil Sloan.

Funding

CHP was supported by the US National Science Foundation, HPS Scholars Award #1826784.

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Pence, C.H. W.F.R. Weldon changes his mind. Euro Jnl Phil Sci 11, 61 (2021). https://doi.org/10.1007/s13194-021-00384-3

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