In classical logic, propositions are typically unambiguously considered as being true or false. For instance, the proposition one is both equal and not equal to itself is regarded as simply false, being contrary to the Law of Noncontradiction; while the proposition one is equal to one is regarded as simply true, by the Law of Identity. However, some mathematicians, computer scientists, and philosophers have been attracted to the idea that a proposition might be more or less true, rather than wholly true or wholly false. Consider My coffee is hot.
In mathematics, this idea can be developed in terms of fuzzy logic. In computer science, it has found application in artificial intelligence. In philosophy, the idea has proved particularly appealing in the case of vagueness. Degrees of truth is an important concept in law.
The term is an older concepts than conditional probability. Instead of determine the objective probability only a subjective assessment is defined.[1] Especially for newbies in the field, the chance for confusion is high. They will confound the concept of probability with degree of truth for sure.[2] To overcome the misconception, it make sense to see probability theory as the preferred paradigm to handle uncertainty.
See also
- Language
- Technology
- Artificial intelligence
- Logic
- Bivalence
- Fuzzy logic
- Fuzzy set
- Half-truth
- Multi-valued logic
- Paradox of the heap
- Truth
- Truth value
- Vagueness
- Books
- Vagueness and Degrees of Truth
Bibliography
- Zadeh, L.A. (1965). "Fuzzy sets". Information and Control. 8 (3): 338–353. doi:10.1016/S0019-9958(65)90241-X. ISSN 0019-9958.
References
- ^ von Weizsacker, Carl Friedrich Freiherr and Castell, Lutz (2003). Time, Quantum and Information. Springer Science & Business Media.
- ^ Smith, Nicholas JJ and Dietz, Edited Richard and Moruzzi, Sebastiano (2007). "Degrees of truth, degrees of belief and subjective probabilities". To appear in a collection of papers presented at Arche.