Publikation:

The Theory of Form Logic

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2012

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http://nbn-resolving.de/urn:nbn:de:bsz:352-244500
DOI (zitierfähiger Link)
https://doi.org/10.12775/LLP.2012.017
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Logic and Logical Philosophy. 2012, 21(4), pp. 363-389. ISSN 1425-3305. Available under: doi: 10.12775/LLP.2012.017

Zusammenfassung

We investigate a construction schema for first-order logical sys- tems, called "form logic". Form logic allows us to overcome the dualistic commitment of predicate logic to individual constants and predicates. Dualism is replaced by a pluralism of terms of different "logical forms". Individual form-logical systems are generated by the determination of a range of logical forms and of the formbased syntax rules for combining terms into formulas. We develop a generic syntax and semantics for such systems and provide a completeness proof for them. To illustrate the idea of form logic, and the possibilities it facilitates, we discuss three particular systems, one of which is the form-logical reconstruction of standard first-order predicate logic.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
100 Philosophie

Schlagwörter

form logic, particular-universal distinction, three-valued logic, logical form, Wittgenstein

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undefined / . - undefined, undefined

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ISO 690FREITAG, Wolfgang, Alexandra ZINKE, 2012. The Theory of Form Logic. In: Logic and Logical Philosophy. 2012, 21(4), pp. 363-389. ISSN 1425-3305. Available under: doi: 10.12775/LLP.2012.017
BibTex
@article{Freitag2012Theor-24450,
  year={2012},
  doi={10.12775/LLP.2012.017},
  title={The Theory of Form Logic},
  number={4},
  volume={21},
  issn={1425-3305},
  journal={Logic and Logical Philosophy},
  pages={363--389},
  author={Freitag, Wolfgang and Zinke, Alexandra}
}
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