2,270 research outputs found

    Some Banach spaces added by a Cohen real

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    We study certain Banach spaces that are added in the extension by one Cohen real. Specifically, we show that adding just one Cohen real to any model adds a Banach space of density â„”1\aleph_1 which does not embed into any such space in the ground model such a Banach space can be chosen to be UG This has consequences on the the isomorphic universality number for Banach spaces of density â„”1\aleph_1, which is hence equal to â„”2\aleph_2 in the standard Cohen model and the same is true for UG spaces. Analogous universality results for Banach spaces are true for other cardinals, by a different proof.Comment: The version to appear in Topology and Its Applications arXiv admin note: substantial text overlap with arXiv:1308.364

    Motivation by Ideal

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    I offer an account of how ideals motivate us. My account suggests that although emulating an ideal is often rational, it can lead us to do irrational things

    Anonymity in Predicting the Future

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    Consider an arbitrary set SS and an arbitrary function f:R→Sf : \mathbb{R} \to S. We think of the domain of ff as representing time, and for each x∈Rx \in \mathbb{R}, we think of f(x)f(x) as the state of some system at time xx. Imagine that, at each time xx, there is an agent who can see f↟(−∞,x)f \upharpoonright (-\infty, x) and is trying to guess f(x)f(x)--in other words, the agent is trying to guess the present state of the system from its past history. In a 2008 paper, Christopher Hardin and Alan Taylor use the axiom of choice to construct a strategy that the agents can use to guarantee that, for every function ff, all but countably many of them will guess correctly. In a 2013 monograph they introduce the idea of anonymous guessing strategies, in which the agents can see the past but don't know where they are located in time. In this paper we consider a number of variations on anonymity. For instance, what if, in addition to not knowing where they are located in time, agents also do not know the rate at which time is progressing? What if they have no sense of how much time elapses between any two events? We show that in some cases agents can still guess successfully, while in others they perform very poorly.Comment: 12 pages, 1 figur

    On Gauss's first proof of the fundamental theorem of algebra

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    Carl Friedrich Gauss is often given credit for providing the first correct proof of the fundamental theorem of algebra in his 1799 doctoral dissertation. However, Gauss's proof contained a significant gap. In this paper, we give an elementary way of filling the gap in Gauss's proof.Comment: 9 pages, 1 figure. To appear in American Mathematical Monthl

    An Opportunity Not To Be Missed: Vaccination as an Entry Point for Hygiene Promotion and Diarrhoeal Disease Reduction in Nepal

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    This report aims to ascertain whether or not vaccination programmes offer a useful entry point for hygiene promotion and to define options for piloting and scaling up of a hygiene promotion intervention in Nepal

    Reading Kant's Groundwork

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    Beyond Price

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    In nine lively essays, bioethicist J. David Velleman challenges the prevailing consensus about assisted suicide and reproductive technology, articulating an original approach to the ethics of creating and ending human lives. He argues that assistance in dying is appropriate only at the point where talk of suicide is not, and he raises moral objections to anonymous donor conception. In their place, Velleman champions a morality of valuing personhood over happiness in making end-of-life decisions, and respecting the personhood of future children in making decisions about procreation. These controversial views are defended with philosophical rigor while remaining accessible to the general reader. Written over Velleman's 30 years of undergraduate teaching in bioethics, the essays have never before been collected and made available to a non-academic audience. They will open new lines of debate on issues of intense public interest

    Well‐Being And Time

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    Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/138420/1/papq00410.pd

    The implementation of web accessibility standards by Dutch municipalities:Factors of resistance and support

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    There are laws and regulations in place requiring public sector bodies to adopt and implement international standards for web accessibility. Municipalities in the Netherlands have collectively adopted these standards. However, they often seem unable to fully implement web accessibility standards even if the law requires them to and they are actively pursuing it. Based on existing models, literature, questionnaires and extensive audits of the websites of participating municipalities, this dissertation identifies processes that support or resist implementation of the standards within the specific context of web accessibility for local government websites. Awareness of these processes is important for stakeholders willing to implement web accessibility standards. The result is a set of recommendations for local governments that help them identify processes that support or resist the actual implementation of web accessibility standards. This not only contributes to the accessibility of the web for people with disabilities, it may also be helpful for the implementation of other guidelines and (open) standards within local governments
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