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Number of Extensions of Non-Fregean Logics

✍ Scribed by Joanna Golińska-Pilarek; Taneli Huuskonen


Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
240 KB
Volume
34
Category
Article
ISSN
0022-3611

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Number of non-Fregean sentential logics
✍ Joanna Golińska-Pilarek 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 94 KB 👁 1 views

## Abstract We show that there are continuum many different non‐Fregean sentential logics that have adequate models. The proof is based on the construction of a special class of models of the power of the continuum. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Fregean Extensions of First-Order Theori
✍ John L. Bell 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 205 KB

## Abstract It is shown by Parsons [2] that the first‐order fragment of Frege's (inconsistent) logical system in the __Grundgesetze der Arithmetic__ is consistent. In this note we formulate and prove a stronger version of this result for arbitrary first‐order theories. We also show that a natural a