Journal of Philosophy 88 (11):607-619 (1991)

Authors
Phillip Bricker
University of Massachusetts, Amherst
Abstract
Which mathematical structures are possible, that is, instantiated by the concrete inhabitants of some possible world? Are there worlds with four-dimensional space? With infinite-dimensional space? Whence comes our knowledge of the possibility of structures? In this paper, I develop and defend a principle of plenitude according to which any mathematically natural generalization of possible structure is itself possible. I motivate the principle pragmatically by way of the role that logical possibility plays in our inquiry into the world.
Keywords Epistemology  Logical Possibility  Modality  Plenitude  Possibility  Structure
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ISBN(s) 0022-362X
DOI 10.5840/jphil199188116
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Monism.Jonathan Schaffer - 2008 - Stanford Encyclopedia of Philosophy.
Possible Patterns.Jeffrey Sanford Russell & John Hawthorne - 2018 - Oxford Studies in Metaphysics 11.
Absolute Actuality and the Plurality of Worlds.Phillip Bricker - 2006 - Philosophical Perspectives 20 (1):41–76.
A Tale of Two Simples.Joshua Spencer - 2010 - Philosophical Studies 148 (2):167 - 181.

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