A Calculus of Inconsistency I: Sentential Logic
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A Calculus of Inconsistency I: Sentential Logic
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| Id. |
594132 |
| Titulo |
A Calculus of Inconsistency I: Sentential Logic |
| Autor(es) |
Seabold, Dan
Waner, Stefan
Warner, Steve
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| Localización |
http://arxiv.org/abs/math/0409034
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
We describe a graph-theoretic syntax for self-referential formulas as well as
a four-valued logic to include contradictory and independent formulas. We then
explore the degree to which generalized truth tables can be realized in our
theory, and go on to describe a model theory for sentential calculus, wherein
models are allowed to include contradictions (such as the ``Liar'') and
formulas that result from them as an integral part of their structure. This
sets the groundwork for a sequel in which we construct models of set theory
that include contradictions.
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| Palabras clave |
Mathematics - Logic
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| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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| Requerimientos técnicos |
Browser: Any
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| Fecha de contribución |
27-mar-2007 |
| Contacto |
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