68 research outputs found

    Explaining Imagination

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    Imagination will remain a mystery—we will not be able to explain imagination—until we can break it into simpler parts that are more easily understood. Explaining Imagination is a guidebook for doing just that, where the simpler parts are other familiar mental states like beliefs, desires, judgments, decisions, and intentions. In different combinations and contexts, these states constitute cases of imagining. This reductive approach to imagination is at direct odds with the current orthodoxy, which sees imagination as an irreducible, sui generis mental state or process—one that influences our judgments, beliefs, desires, and so on, without being constituted by them. Explaining Imagination looks closely at the main contexts where imagination is thought to be at work and argues that, in each case, the capacity is best explained by appeal to a person’s beliefs, judgments, desires, intentions, or decisions. The proper conclusion is not that there are no imaginings after all, but that these other states simply constitute the relevant cases of imagining. Contexts explored in depth include: hypothetical and counterfactual reasoning, engaging in pretense, appreciating fictions, and generating creative works. The special role of mental imagery within states like beliefs, desires, and judgments is explained in a way that is compatible with reducing imagination to more basic folk psychological states. A significant upshot is that, in order to create an artificial mind with an imagination, we need only give it these more ordinary mental states

    The good, the bad and the ugly

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    This paper discusses the neo-logicist approach to the foundations of mathematics by highlighting an issue that arises from looking at the Bad Company objection from an epistemological perspective. For the most part, our issue is independent of the details of any resolution of the Bad Company objection and, as we will show, it concerns other foundational approaches in the philosophy of mathematics. In the first two sections, we give a brief overview of the "Scottish" neo-logicist school, present a generic form of the Bad Company objection and introduce an epistemic issue connected to this general problem that will be the focus of the rest of the paper. In the third section, we present an alternative approach within philosophy of mathematics, a view that emerges from Hilbert's Grundlagen der Geometrie (1899, Leipzig: Teubner; Foundations of geometry (trans.: Townsend, E.). La Salle, Illinois: Open Court, 1959.). We will argue that Bad Company-style worries, and our concomitant epistemic issue, also affects this conception and other foundationalist approaches. In the following sections, we then offer various ways to address our epistemic concern, arguing, in the end, that none resolves the issue. The final section offers our own resolution which, however, runs against the foundationalist spirit of the Scottish neo-logicist program

    On the shape of mathematical arguments

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    A heuristic procedure for natural deduction derivations using reductio ad absurdum.

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