Individual objects have potentials: paper has the potential to burn, an acorn has the potential to turn into a tree, some people have the potential to run a mile in less than four minutes. Barbara Vetter provides a systematic investigation into the metaphysics of such potentials, and an account of metaphysical modality based on them. In contemporary philosophy, potentials have been recognized mostly in the form of so-called dispositions: solubility, fragility, and so on. Vetter takes dispositions as her starting point, but argues for and develops a more comprehensive conception of potentiality. She shows how, with this more comprehensive conception, an account of metaphysical modality can be given that meets three crucial requirements: (1) Extensional correctness: providing the right truth-values for statements of possibility and necessity; (2) formal adequacy: providing the right logic for metaphysical modality; and (3) semantic utility: providing a semantics that links ordinary modal language to the metaphysics of modality. The resulting view of modality is a version of dispositionalism about modality: it takes modality to be a matter of the dispositions of individual objects (and, crucially, not of possible worlds). This approach has a long philosophical tradition going back to Aristotle, but has been largely neglected in contemporary philosophy. In recent years, it has become a live option again due to the rise of anti-Humean, powers-based metaphysics. The aim of Potentiality and Possibility is to develop the dispositionalist view in a way that takes account of contemporary developments in metaphysics, logic, and semantics.
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This is not an easy book. It is however clear and well argued. For someone who is not a professional philosopher a motivation will be needed to persist. I my case the motivation is the need for a metaphysics of potentiality and possibility to make sense of a develop some suggestions made by Heisenberg in his “Physics and Philosophy”.
There are other motivations. Staying with quantum mechanics the modal metaphysics in this book is relevant to the multiverse interpretation of quantum theory.
Barabara Vetter's theory provides a formal theory and structure that I believe may be useful in providing a coherent and realist account of quantum physics.