That may indeed be the ground, but the combinatorial theory of possibility has not given an analysis of that possibility, only an assertion of it.
Armstrong, A Combinatorial Theory of Possibility (Cambridge: Cambridge University Press, 1989), 126.
Romik, Integrals, partitions and MacMahon's theorem, Journal of Combinatorial Theory, Series A, 114, no.
Holroyd, Partition identities and the coin exchange problem, Journal of Combinatorial Theory, Series A, 115, no.
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The mathematical combinatorics is a combinatorial theory
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Armstrong's combinatorial theory
of modality in a condensed form and argues against certain points of that theory.