axiomatization उदाहरण वाक्य
उदाहरण वाक्य
- Its axiomatization allows for non-additive probabilities and the expected utility of an act is defined using a Choquet integral.
- Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry.
- However, they will always prove some theorems as both true and false, for an axiomatization not simpler than Peano arithmetic.
- Lejewski then goes on to extend this interpretation to the language of inclusion, and presents an axiomatization of an unrestricted logic.
- There are several properties that a formal system may have, including completeness, consistency, and the existence of an effective axiomatization.
- This allows us to axiomatize the theory using inequalities yet still have a purely equational axiomatization when the inequalities are expanded to equalities.
- Redko showed in 1967 that these equations had no finite axiomatization, for which John Horton Conway gave a shorter proof in 1971.
- In addition to removing ambiguity from previously naive terms such as function, it was hoped that this axiomatization would allow for consistency proofs.
- A well-known axiomatization, comprising three axiom schemata and one inference rule ( " modus ponens " ), is:
- He also objected strongly to the philosophical implications of countable models of set theory, which followed from Skolem's first-order axiomatization.