216 research outputs found
Is Gettier"s First Example Flawed?
The 'Gettier counterexamples' (Gettier 19631) to the\ud
tripartite account of propositional knowledge are generally\ud
taken to show that not every instance of justified true belief\ud
constitutes knowledge. I argue that Gettier's famous first\ud
example fails to establish this conclusion. I claim to show\ud
that the example violates the belief condition of the\ud
tripartite account. Of course, if Smith does not believe that\ud
(1) the man who will get the job has ten coins in his\ud
pocket\ud
it should not be surprising that he does not know it either,\ud
as Gettier correctly claims. But as the three conditions are\ud
not satisfied, the tripartite account is not refuted
Poisson approximation of the length spectrum of random surfaces
Multivariate Poisson approximation of the length spectrum of random surfaces
is studied by means of the Chen-Stein method. This approach delivers simple and
explicit error bounds in Poisson limit theorems. They are used to prove that
Poisson approximation applies to curves of length up to order
with being the genus of the surface.Comment: 22 pages, 2 figures. To appear in Indiana Univ. Math.
Patterned Deposition of Particles in Spatio-temporally Driven Lattices
We present and analyze mechanisms for the patterned deposition of particles
in a spatio-temporally driven lattice. The working principle is based on the
breaking of the spatio-temporal translation symmetry, which is responsible for
the equivalence of all lattice sites, by applying modulated phase shifts to the
lattice sites. The patterned trapping of the particles occurs in confined
chaotic seas, created via the ramping of the height of the lattice potential.
Complex density profiles on the length scale of the complete lattice can be
obtained by a quasi-continuous, spatial deformation of the chaotic sea in a
frequency modulated lattice.Comment: 5 pages, 4 figure
Symmetries and transport in site-dependently driven quantum lattices
We explore the quantum dynamics of particles in a spatiotemporally driven
lattice. A powerful numerical scheme is developed, which provides us with the
Floquet modes and thus enables a stroboscopic propagation of arbitrary initial
states. A detailed symmetry analysis represents the cornerstone for an
intricate manipulation of the Floquet spectrum. Specifically, we show how exact
crossings can be converted into avoided ones, while the width of these
resulting avoided crossings can be engineered by adjusting parameters of the
local driving. Asymptotic currents are shown to be controllable over a certain
parameter range
Definite Descriptions and the Gettier Example
This paper challenges the first Gettier counterexample to the tripartite account of knowledge. Noting that 'the man who will get the job' is a description and invoking Donnellan's distinction between their 'referential' and 'attributive' uses, I argue that Smith does not actually believe that the man who will get the job has ten coins in his pocket. Smith's ignorance about who will get the job shows that the belief cannot be understood referentially, his ignorance of the coins in his pocket shows that it cannot be understood attributively.
An explanation for why Smith appeared to have justified true belief is given by distinguishing between 'belief' and 'belief in truth'. Smith believes the sentence 'the man who will get the job has ten coins in his pocket' to be true (he mistakenly believes that Jones will get the job, of whom he knows that he has ten coins in his pocket) (hence his 'belief'), the sentence is true (hence 'truth'), and he has sufficient reason to assent to it (hence his 'justification'). But he does not believe the proposition expressed. Hence he does not know it eithe
Timeseries on IIoT Platforms: Requirements and Survey for Digital Twins in Process Industry
In the pursue for sustainability in process industry, digital twins
necessitate the communication and storage of timeseries data about Industrial
Internet of Things (IIoT). Regarding timeseries, this paper first presents a
set of requirements specific to process industries. Then, it surveys how
existing IIoT technologies meet the requirements. The technologies include the
API specifications Asset Administration Shell (AAS), Digital Twin Definition
Language (DTDL), NGSI-LD and Open Platform Communications Unified Architecture
(OPC UA) as well as six commercial platforms. All the technologies leave
significant gaps regarding the requirements, which means that tailor-made
extensions are necessary.Comment: 6 pages, 1 figure, 1 tabl
Utility, Progress, and Technology: Proceedings of the 15th Conference of the International Society for Utilitarian Studies
This volume collects selected papers delivered at the 15th Conference of the International Society for Utilitarian Studies, which was held at Karlsruhe Institute of Technology in July 2018. It includes papers dealing with the past, present, and future of utilitarianism – the theory that human happiness is the fundamental moral value – as well as on its applications to animal ethics, population ethics, and the future of humanity, among other topics
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