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Interpretationen Der Modallogik: Ein Beitrag Zur PH Nomenologischen Wissenschaftstheorie (Hardcover)

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Through the application of phenomenological semantics, this book offers a new approach towards understanding modal logic and its philosophical implications. It is directed primarily to phenomenologists, but also addresses analytic philosophers and philosophically interested logicians. Over a century ago, mathematics and logic developed into abstract disciplines. This process eventually led to their unification, which Husserl termed Mathesis Universalis'. The Mathesis Universalis was not only the source of Husserl's own philosophical work, but also is the context within which modern modal logic ought to be understood. The phenomenological explication of modal logic, considered as an abstract discipline of the Mathesis Universalis, requires detailed analyses of the genesis of modalisation that extend deep into the cognitive structures of prelinguistic perception. This phenomenological understanding of modalisation offers two advantages. Firstly, the serious difficulties facing modal logic in the fields of epistemology and ontology, especially as put forward in the framework of analytic philosophy, can be resolved. Secondly, the fact that the concept of proof can be understood as a mathematical modality opens the way to a precise phenomenological determination of the relationship between logic and mathematics. (In German): Das Buch beabsichtigt, mit den Mitteln einer phdnomenologischen Semantik, einen Beitrag zum Verstdndnis der Modallogik und ihrer philosophischen Implikationen zu liefern. Es richtet sich in erster Linie an Phdnomenologen, aber auch an analytische Philosophen und an philosophisch interessierte Logiker. Bereits im vorigen Jahrhundert begannen Mathematik und Logik, sich zuabstrakten Wissenschaften zu entwickeln. Husserl nannte die schlie_lich resultierende Einheit beider Mathesis Universalis'. Diese bildet nicht nur den Boden aus dem Husserls philosophische Arbeit erwuchs, sondern auch den Rahmen, in den die moderne Modallogik zu stellen ist. Als abstrakte Disziplin der Mathesis Universalis erfordert ihre phä nomenologische Aufklä rung detaillierte Analysen der Genese von Modalisierung, die weit in die kognitiven Strukturen von (vorsprachlicher) Wahrnehmung hineinreichen. Das so gewonnene Verstä ndnis von Modalisierung erbringt ein zweifaches Resultat: Zum einen kann die insbesondere im Rahmen der analytischen Philosophie gefü hrte Diskussion der erkenntnistheoretischen und ontologischen Schwierigkeiten der Modallogik eine phä nomenologische Aufklä rung erfahren. Zum anderen erlaubt die Tatsache, daß der Beweisbegriff als mathematische Modalitä t zu verstehen ist, eine prä zise phä nomenologische Bestimmung des Verhä ltnisses von formaler Logik und Mathematik.

Specifications

Publisher Springer
Mfg Part# 9780792348092
SKU 203527236
Format Hardcover
ISBN10 0792348095
Release Date 4/10/2007
Product Attributes
Book Format Hardcover
Number of Pages 0228
Publisher Springer
Series Part 145
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$172.99 + $2.75 shipping
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