Definition of Infinitary. Meaning of Infinitary. Synonyms of Infinitary

- An infinitary logic is a logic that allows infinitely long statements and/or infinitely long proofs. The concept was introduced by Zermelo in the 1930s...
- arity, i.e. if it has a finite number of input values. Similarly, an infinitary operation is one with an infinite number of input values. In standard...
- In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets. Some of the things studied...
- arithmetic combinatorics is the ergodic theory of dynamical systems. Infinitary combinatorics, or combinatorial set theory, is an extension of ideas in...
- the fact that if a cardinal is weakly compact then a certain related infinitary language satisfies a version of the compactness theorem; see below. The...
- numbers as its domain. Many extensions of first-order logic, including infinitary logics and higher-order logics, are more expressive in the sense that...
- the context is clear). It is also possible to generalize the concept to infinitary relations with infinite sequences. When two objects, qualities, classes...
- rule. An example of a rule that is not effective in this sense is the infinitary ω-rule. Po****r rules of inference in propositional logic include modus...
- best doctoral thesis in France. Her thesis was on the subject On the infinitary proof theory of logics with fixed points. On January 31 2018, Doumane...
- axiomatisable by a first-order theory. Model theory in higher-order logics or infinitary logics is hampered by the fact that completeness and compactness do not...