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The new logic     
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In this paper a propositional logic of viewpoints is presented. The language of this logic consists of the usual modal operatorsL (of necessity) andM (of possibility) as well as of two new operatorsA andR. The intuitive interpretations ofA andR are “from all viewpoints” and “from some viewpoint”, respectively. Semantically the language is interpreted by using Kripke models augmented with sets of “viewpoints” and with a new alternativeness relation for the operatorA. Truth values of formulas are evaluated with respect to a world and a viewpoint. Various axiomatizations of the logic of viewpoints are presented and proved complete. Finally, some applications are given.  相似文献   

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Sharon Ryan 《Philosophia》1998,26(3-4):525-528
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The logic of paradox   总被引:1,自引:0,他引:1  
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Sharon Ryan 《Philosophia》1999,27(1-2):287-299
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《Synthese》1938,3(1):335-336
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The principles that AN INSTANCE OF A CLASS IS THE CLASS and A CLASS IS AN INSTANCE OF ITSELF allow for the so called LAWS OF THOUGHT
1.  IDENTITY - WHAT IS, IS.
2.  CONTRADICTION - NOTHING BOTH IS and IS NOT.
3.  EXCLUDED MIDDLE - EVERYTHING IS or IS NOT.
and allow us to adopt a bivalent system. Everything essential for primary logic is provided.  相似文献   

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Journal of Philosophical Logic - I explore the logic of ground. I first develop a logic of weak ground. This logic strengthens the logic of weak ground presented by Fine in his ‘Guide to...  相似文献   

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