Definition of Infinitary. Meaning of Infinitary. Synonyms of Infinitary

Here you will find one or more explanations in English for the word Infinitary. Also in the bottom left of the page several parts of wikipedia pages related to the word Infinitary and, of course, Infinitary synonyms and on the right images related to the word Infinitary.

Definition of Infinitary

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Meaning of Infinitary from wikipedia

- 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...
- 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...
- In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets. Some of the things studied...
- numbers as its domain. Many extensions of first-order logic, including infinitary logics and higher-order logics, are more expressive in the sense that...
- arithmetic combinatorics is the ergodic theory of dynamical systems. Infinitary combinatorics, or combinatorial set theory, is an extension of ideas in...
- ternary operation. Generally, the arity is taken to be finite. However, infinitary operations are sometimes considered, in which case the "usual" operations...
- 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...
- the monoid. A complete monoid is a commutative monoid equipped with an infinitary sum operation Σ I {\displaystyle \Sigma _{I}} for any index set I such...
- the context is clear). It is also possible to generalize the concept to infinitary relations with infinite sequences. When two objects, qualities, classes...
- a group can be modified by forcing. Hamkins has investigated several infinitary games, including infinite chess, infinite draughts, infinite Hex, and...