We examine the epistemological foundations of a leading technique in the search for evidence of life on exosolar planets. Specifically, we consider the "transit method" for spectroscopic analysis of exoplanet atmospheres, and the practice of treating anomalous chemical compositions of the atmospheres of exosolar planets as indicators of the potential presence of life. We propose a methodology for ranking the anomalousness of atmospheres that uses the mathematical apparatus of support vector machines, and which aims to be agnostic with respect to the particular chemical biosignatures of life. We argue that our approach is justified by an appeal to the "hinge" model of epistemic justification first proposed by Wittgenstein (1969). We then compare our approach to previous work due to Walker et al. (2018) and Cleland (2019a, 2019b. * We are very grateful to Artemy Kolchinsky for detailed feedback on an earlier draft of this paper, to David Wolpert for helpful discussions, and to audiences at Philosophy of Biology at the Mountains hosted by the University of Utah, and the Uncovering the Laws of Life Workshop in Grindavik, Iceland. Christopher Kempes' work on this project was supported by CAF Canada and the National Aeronautics and Space Administration (Grant No. 80NSSC18K1140).1 There is a rich recent tradition of philosophical commentary on astrobiology, not all of which we are able to comment on here; see for instance Fry (2000), Chela-Flores (2011), andDick (2012).