# Point-Free Geometry and Verisimilitude of Theories

@article{Gerla2007PointFreeGA,
title={Point-Free Geometry and Verisimilitude of Theories},
author={Giangiacomo Gerla},
journal={Journal of Philosophical Logic},
year={2007},
volume={36},
pages={707-733}
}
• Giangiacomo Gerla
• Published 2007
• Mathematics, Computer Science
• Journal of Philosophical Logic
A metric approach to Popper’s verisimilitude question is proposed which is related to point-free geometry. Indeed, we define the theory of approximate metric spaces whose primitive notions are regions, inclusion relation, minimum distance, and maximum distance between regions. Then, we show that the class of possible scientific theories has the structure of an approximate metric space. So, we can define the verisimilitude of a theory as a function of its (approximate) distance from the truth… Expand
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