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(1) Beliefs are involuntary, and not nonnally subject to direct
voluntary control. For instance I cannot believe at will that my
trousers are on fire, or that the Dalai Lama is a living God, even
if you pay me a large amount of money for believing such things.
(2) Beliefs are nonnally shaped by evidence for what is believed,
unless they are, in some sense, irrational. In general a belief is
rational if it is proportioned to the degree of evidence that one
has for its truth. In this sense, one often says that "beliefs aim
at truth" . This is why it is, on the face of it, irrational to
believe against the evidence that one has. A subject whose beliefs
are not shaped by a concern for their truth, but by what she wants
to be the case, is more or less a wishful thinker or a
self-deceiver. (3) Beliefs are context independent, in the sense
that at one time a subject believes something or does not believe
it; she does not believe it relative to one context and not
relative to another. For instance if I believe that Paris is a
polluted city, I cannot believe that on Monday and not on Tuesday;
that would be a change of belief, or a change of mind, but not a
case of believing one thing in one context and another thing in
another context. If I believe something, the belief is more or 4
less pennanent across various contexts.
In the last decade mathematical crystallography has found
increasing interest. Siginificant results have been obtained by
algebraic, geometric, and group theoretic methods. Also classical
crystallography in three-dimen sional Euclidean space has been
extended to higher dimen sions in order to understand better the
dimension independent crystallographic properties. The aim of this
note is to introduce the reader to the fascinating and rich world
of geometric crystallography. The prerequisites for reading it are
elementary geometry and topological notations, and basic knowledge
of group theory and linear algebra. Crystallography is geometric by
its nature. In many cases, geometric arguments are the most
appropriate and can thus best be understood. Thus the geometric
point of view is emphasized here. The approach is axiomatic start
ing from discrete point sets in Euclidean space. Symmetry comes in
very soon and plays a central role. Each chapter starts with the
necessary definitions and then the subject is treated in two- and
three-dimensional space. Subsequent sections give an extension to
higher dimensions. Short historical remarks added at the end of the
chapters will show the development of the theory. The chapters are
main ly self-contained. Frequent cross references, as well as an
extended subject index, will help the reader who is only interested
in a particular subject."
(1) Beliefs are involuntary, and not nonnally subject to direct
voluntary control. For instance I cannot believe at will that my
trousers are on fire, or that the Dalai Lama is a living God, even
if you pay me a large amount of money for believing such things.
(2) Beliefs are nonnally shaped by evidence for what is believed,
unless they are, in some sense, irrational. In general a belief is
rational if it is proportioned to the degree of evidence that one
has for its truth. In this sense, one often says that "beliefs aim
at truth" . This is why it is, on the face of it, irrational to
believe against the evidence that one has. A subject whose beliefs
are not shaped by a concern for their truth, but by what she wants
to be the case, is more or less a wishful thinker or a
self-deceiver. (3) Beliefs are context independent, in the sense
that at one time a subject believes something or does not believe
it; she does not believe it relative to one context and not
relative to another. For instance if I believe that Paris is a
polluted city, I cannot believe that on Monday and not on Tuesday;
that would be a change of belief, or a change of mind, but not a
case of believing one thing in one context and another thing in
another context. If I believe something, the belief is more or 4
less pennanent across various contexts.
In the last decade mathematical crystallography has found
increasing interest. Siginificant results have been obtained by
algebraic, geometric, and group theoretic methods. Also classical
crystallography in three-dimen sional Euclidean space has been
extended to higher dimen sions in order to understand better the
dimension independent crystallographic properties. The aim of this
note is to introduce the reader to the fascinating and rich world
of geometric crystallography. The prerequisites for reading it are
elementary geometry and topological notations, and basic knowledge
of group theory and linear algebra. Crystallography is geometric by
its nature. In many cases, geometric arguments are the most
appropriate and can thus best be understood. Thus the geometric
point of view is emphasized here. The approach is axiomatic start
ing from discrete point sets in Euclidean space. Symmetry comes in
very soon and plays a central role. Each chapter starts with the
necessary definitions and then the subject is treated in two- and
three-dimensional space. Subsequent sections give an extension to
higher dimensions. Short historical remarks added at the end of the
chapters will show the development of the theory. The chapters are
main ly self-contained. Frequent cross references, as well as an
extended subject index, will help the reader who is only interested
in a particular subject."
Neue Managementkonzepte fur Gesundheits- und Sozialeinrichtungen
sind notig, um im wachsenden Wettbewerb uberlebensfahig zu bleiben.
Die Autoren stellen die machbaren Schritte zu einem effizienten
Qualitatsmanagement vor. Praktische Erfahrungen und konkrete
Beispiele veranschaulichen den Aufbau wirksamer
Qualitatsmanagementsysteme. Dabei wird die internationale Norm DIN
EN ISO 9000 besonders berucksichtigt. Concise text:
Praxiserfahrungen und detaillierte Anleitungen zum Aufbau von
umfassenden Qualitatsmanagement-Systemen im Gesundheitswesen."
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