Journal of Philosophical Logic 49 (1):1-11 (2020)

Authors
Giorgio Sbardolini
University of Amsterdam
Abstract
There is an apparent dilemma for hierarchical accounts of propositions, raised by Bruno Whittle : either such accounts do not offer adequate treatment of connectives and quantifiers, or they eviscerate the logic. I discuss what a plausible hierarchical conception of propositions might amount to, and show that on that conception, Whittle’s dilemma is not compelling. Thus, there are good reasons why proponents of hierarchical accounts of propositions did not see the difficulty Whittle raises.
Keywords Paradoxes  Propositision  Type theory  Simple and ramified hierarchy
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DOI 10.1007/s10992-019-09509-9
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