Pei Wang “From Inheritance relation to Non Axiomatic Logic”. [International Journal of Approximate Reasoning, 11(4), 281-319, 1994]
At the beginning of the paper, three binary term logics are defined. The first is based only on inheritance relation. This relation refers to weights between nodes of semantic network (terms). As author says the second and the third logics suggest a new way to process extension and intension. They have also interesting relations with Aristotle’s logic.
Based on the three simple systems a Non Axiomatic Logic is defined. It has term oriented language and an experience grounded semantics. It can uniformly represents and processes randomness, fuzziness and ignorance. It can also uniformly carries out deduction, abduction, induction and revision.
The proposed paper is a good start for Pei Wang works relating to cognitive logic. Cognitive logic claims to be an underlying logic for reasoning resulting from physical properties of neural networks (human mind). The work and underlying idea of Wang’s papers is an interesting piece which may be an important contribution for many methodology issues, like normative methodology. The paper may be helpful for understanding why the axiomatic logic seems to be a good methodology for normative disciplines however we have many problems with its adaptation.