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Frege's hierarchy: a puzzle

In Joseph Almog & Paolo Leonardi (eds.), The philosophy of David Kaplan. New York: Oxford University Press. pp. 159 (2009)

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  1. Extensionality, Indirect Contexts and Frege's Hierarchy.Nicholas Koziolek - 2016 - Dialectica 70 (3):431-462.
    It is well known that Frege was an extensionalist, in the following sense: he held that the truth-value of a sentence is always a function only of the references of its parts. One consequence of this view is that expressions occurring in certain linguistic contexts – for example, the that-clauses of propositional attitude ascriptions – do not have their usual references, but refer instead to what are usually their senses. But although a number of philosophers have objected to this result, (...)
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  • The Psychology and Philosophy of Natural Numbers.Oliver R. Marshall - 2017 - Philosophia Mathematica (1):nkx002.
    ABSTRACT I argue against both neuropsychological and cognitive accounts of our grasp of numbers. I show that despite the points of divergence between these two accounts, they face analogous problems. Both presuppose too much about what they purport to explain to be informative, and also characterize our grasp of numbers in a way that is absurd in the light of what we already know from the point of view of mathematical practice. Then I offer a positive methodological proposal about the (...)
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