A Concise Formalization of Partial Falsifiability, Water Logic, and Neither Nor Logic with Neutrosophic logic

Authors

  • Takaaki Fujita Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan.
  • Florentin Smarandache University of New Mexico, Gallup Campus, NM 87301, USA.
  • Victor Christianto Ekklesia Advanced School of Theology, Jakarta, Indonesia.

Keywords:

Partial Falsifiability, Neutrosophic Logic, Neutrosophic set, Water Logic, Neither Nor Logic

Abstract

This paper explores the application of neutrosophic logic to Partial Falsifiability, Water Logic, and
Neither Nor Logic through a mathematical perspective. Neutrosophic logic, as an extension of classical logic,
introduces truth, indeterminacy, and falsehood as independent components, offering a framework to handle
uncertainty more effectively [34].
Partial Falsifiability refers to a hypothesis that can be partially refuted under certain conditions without
being completely disproven [36]. Water Logic represents a flexible reasoning system that, like water, adapts
and flows around obstacles rather than adhering to strict true/false dichotomies. Neither Nor Logic challenges
binary choices, allowing for an indeterminate middle state to accommodate uncertainty and ambiguity(cf. [8]).
By incorporating neutrosophic logic, this paper provides an initial mathematical examination of how these
alternative logical systems can be formally expressed and analyzed

 

DOI: 10.5281/zenodo.15121971

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Published

2025-06-01

How to Cite

Takaaki Fujita, Florentin Smarandache, & Victor Christianto. (2025). A Concise Formalization of Partial Falsifiability, Water Logic, and Neither Nor Logic with Neutrosophic logic. Neutrosophic Sets and Systems, 83, 1-26. https://fs.unm.edu/nss8/index.php/111/article/view/6096

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