What does arithmetical set mean?
Definitions for arithmetical set
arith·meti·cal set
This dictionary definitions page includes all the possible meanings, example usage and translations of the word arithmetical set.
Wiktionary
arithmetical setnoun
A set of natural numbers that can be defined by a formula of first-order Peano arithmetic.
Wikidata
Arithmetical set
In mathematical logic, an arithmetical set is a set of natural numbers that can be defined by a formula of first-order Peano arithmetic. The arithmetical sets are classified by the arithmetical hierarchy. The definition can be extended to an arbitrary countable set A by using Gödel numbers to represent elements of the set and declaring a subset of A to be arithmetical if the set of corresponding Gödel numbers is arithmetical. A function is called arithmetically definable if the graph of is an arithmetical set. A real number is called arithmetical if the set of all smaller rational numbers is arithmetical. A complex number is called arithmetical if its real and imaginary parts are both arithmetical.
Numerology
Chaldean Numerology
The numerical value of arithmetical set in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of arithmetical set in Pythagorean Numerology is: 1
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"arithmetical set." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/arithmetical+set>.
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