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The book discusses the fate of universality and a universal set in
several set theories. The book aims at a philosophical study of
ontological and conceptual questions around set theory. Set
theories are ontologies. They posit sets and claim that these
exhibit the essential properties laid down in the set theoretical
axioms. Collecting these postulated entities quantified over poses
the problem of universality. Is the collection of the set
theoretical entities itself a set theoretical entity? What does it
mean if it is, and what does it mean if it is not? To answer these
questions involves developing a theory of the universal set. We
have to ask: Are there different aspects to universality in set
theory, which stand in conflict to each other? May inconsistency be
the price to pay to circumvent ineffability? And most importantly:
How far can axiomatic ontology take us out of the problems around
universality?
This book gives an overview of paraconsistent logics--that is
logics which allow for inconsistency. Although allowing for
inconsistency, paraconsistent logics are worth considering: Logical
systems are worth considering in their own right since we can learn
about very abstract structural properties of logics and the
concepts employed within them such as negation, necessity and
consistency. Some non-classical logics are especially of interest
from a philosophical perspective since they alone offer the
possibility of solving or even stating some philosophical problems.
These introductory lecturers argue from a philosophical perspective
that some paraconsistent logics are of interest or even the best
candidates for dealing with specific philosophical problems.
Although logic is seen from the point of view of its philosophical
use, various formal systems are described, compared and employed.
This book is conceived as an introductory text into the theory of
syntactic and semantic information, and information flow. Syntactic
information theory is concerned with the information contained in
the very fact that some signal has a non-random structure. Semantic
information theory is concerned with the meaning or information
content of messages and the like. The theory of information flow is
concerned with deriving some piece of information from another. The
main part will take us to situation semantics as a foundation of
modern approaches in information theory. We give a brief overview
of the background theory and then explain the concepts of
information, information architecture and information flow from
that perspective.
Was ist Philosophische Semantik? Bedarf es neben der Linguistik
uberhaupt noch einer "philosophischen" Semantik? Welche Rolle
spielt diese Semantik fur die Philosophie im Allgemeinen? Welche
methodische Rolle spielt die Klarung von "Bedeutung" fur die
Sprachanalytische Philosophie? Tritt die philosophische Semantik an
die Stelle der Erkenntnistheorie? In welchem Verhaltnis steht sie
zur Ontologie und zur Philosophie des Geistes? Diesen Fragen geht
das vorliegende Buch nach. In einem zentralen Verstandnis von
Philosophischer Semantik ist das Wesentliche die Beziehung zwischen
Bedeutungstheorie und Erkenntnistheorie (vermittels der
Rechtfertigung von Satzverwendungen). Eine so verstandene Semantik
hat z.T. einen eigenen Ansatz, der einen zentralen Stellenwert fur
eine Philosophie in der Analytischen Tradition besitzt. Man kann
diese Philosophische Semantik als eine "Erste Philosophie"
ansehen."
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