Fischer, Martin; Gratzl, Norbert (26. September 2017): Truth, Partial Logic and Infinitary Proof Systems. In: Studia Logica |
| - Submitted Version 398kB |
Abstract
In this paper we apply proof theoretic methods used for classical systems in order to obtain upper bounds for systems in partial logic. We focus on a truth predicate interpreted in a Kripke style way via strong Kleene; whereas the aim is to connect harmoniously the partial version of Kripke-Feferman with its intended semantics. The method we apply is based on infinitary proof systems containing an ω -rule.
Item Type: | Journal article |
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EU Funded Grant Agreement Number: | 675415 |
EU Projects: | Horizon 2020 > Marie Skłodowska Curie Actions > Marie Skłodowska-Curie Innovative Training Networks > 675415: Diaphora: Philosophical Problems, Resilience and Persistent Disagreement |
Form of publication: | Publisher's Version |
Keywords: | Truth; Partial logic; Infinitary proof systems; Axiomatic theories; Minimal fixed-point |
Faculties: | Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Logic Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Diaphora: Logic and Paradox |
Subjects: | 100 Philosophy and Psychology > 100 Philosophy 100 Philosophy and Psychology > 160 Logic |
URN: | urn:nbn:de:bvb:19-epub-41340-2 |
ISSN: | 1572-8730 |
Language: | English |
ID Code: | 41340 |
Deposited On: | 06. Dec 2017 05:30 |
Last Modified: | 04. Nov 2020 13:17 |
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