1,060 research outputs found

    The Value of Mathematics within the ‘Republic’

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    In this paper I examine two prominent views regarding the value of mathematics within the republic. One view, formulated by Julia Annas, gives mathematics only instrumental value while the second view, attributed to M.F. Burnyeat, states that mathematics is constitutive of the Good. I will end up arguing, contrary to both views, that mathematics plays not only an instrumental role but also that it is also good “just for itself.” In other words, I place mathematics within the second category of goods defined at the start of Book II- good just for itself as well as good for its consequences

    Hume and the Cause of Inductive Inferences

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    I present Hume’s problem of induction and a puzzle that initially arises from the conclusion to the problem. In order to solve the puzzle I will present two ways we can understand Hume’s conclusion. I argue that the second interpretation provides an especially charitable account of what Hume intends to prove with the problem. On this interpretation, Hume is concerned with the cause of an inductive inference. I present three arguments in favor of this reading and conclude by summarizing Hume’s negative conclusion about induction

    The Value of Mathematics within the \u27Republic\u27

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    In this paper I examine two prominent views regarding the value of mathematics within the republic. One view, formulated by Julia Annas, gives mathematics only instrumental value while the second view, attributed to M.F. Burnyeat, states that mathematics is constitutive of the Good. I will end up arguing, contrary to both views, that mathematics plays not only an instrumental role but also that it is also good “just for itself.” In other words, I place mathematics within the second category of goods defined at the start of Book II- good just for itself as well as good for its consequences

    Coherent resonant tunneling in ac fields

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    We have analyzed the tunneling transmission probability and electronic current density through resonant heterostructures in the presence of an external electromagnetic field. In this work, we compare two different models for a double barrier : In the first case the effect of the external field is taken into account by spatially dependent AC voltages and in the second one the electromagnetic field is described in terms of a photon field that irradiates homogeneously the whole sample. While in the first description the tunneling takes place mainly through photo sidebands in the case of homogeneous illumination the main effective tunneling channels correspond to the coupling between different electronic states due to photon absorption and emission. The difference of tunneling mechanisms between these configurations is strongly reflected in the transmission and current density which present very different features in both cases. In order to analyze these effects we have obtained, within the Transfer Hamiltonian framework, a general expression for the transition probability for coherent resonant tunneling in terms of the Green's function of the system.Comment: 16 pages,Figures available upon request,to appear in Phys.Rev B (15 April 1996

    How Final and Non-Final Valuing Differ

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    How does valuing something for its own sake differ from valuing an entity for the sake of other things? Although numerous answers come to mind, many of them rule out substantive views about what is valuable for its own sake. I therefore seek to provide a more neutral way to distinguish the two valuing attitudes. Drawing from existing accounts of valuing, I argue that the two can be distinguished in terms of a conative-volitional feature. Focusing first on “non-final valuing”—i.e. valuing_ x_ for the sake of something else—I argue that it involves adopting certain reasons on account of a desire for _x_ to contribute to other things. I then show how this contrasts final valuing. The result, I argue, is a plausible account of how the two modes of valuing differ that leaves open substantive views about what all can be valued for its own sake. This is helpful because it develops a popular methodology used to explore the value of a wide range of things, including natural entities, family heirlooms, and artworks, as well as, more broadly, entities that might have “extrinsic final value.
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