Experimental logics and Δinf2sup0- theories

@article{Jeroslow1975ExperimentalLA,
  title={Experimental logics and Δinf2sup0- theories},
  author={Robert G. Jeroslow},
  journal={J. Philosophical Logic},
  year={1975},
  volume={4},
  pages={253-267}
}
In this paper, we explore the concept of a logic which proceeds by trial-anderror, and deduce consequences which follow from relatively weak assumptions about these experimental logics. One of the consequences (Theorem 2) is analogous to, and in a rigorous sense it extends, Godel’s First Incompleteness Theorem. A second result (Theorem 5) stands in contrast to the corresponding result for ordinary formal systems, since it is not in general possible to mechanically find true but unprovable… CONTINUE READING

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