Definitions for absoluteness
This page provides all possible meanings and translations of the word absoluteness
starkness, absoluteness, utterness(noun)
the quality of being complete or utter or extreme
"the starkness of his contrast between justice and fairness was open to many objections"
the quality of being absolute
"the absoluteness of the pope's decree could not be challenged"
The fact of being finished or perfected; completeness.
Absolute authority, unlimited power; despotism.
The fact of being without qualifications or conditions; certainty, unconditionality.
the quality of being absolute; independence of everything extraneous; unlimitedness; absolute power; independent reality; positiveness
In mathematical logic, a formula is said to be absolute if it has the same truth value in each of some class of structures. Theorems about absoluteness typically establish relationships between the absoluteness of formulas and their syntactic form. There are two weaker forms of partial absoluteness. If the truth of a formula in each substructure N of a structure M follows from its truth in M, the formula is downward absolute. If the truth of a formula in a structure N implies its truth in each structure M extending N, the formula is upward absolute. Issues of absoluteness are particularly important in set theory and model theory, fields where multiple structures are considered simultaneously. In model theory, several basic results and definitions are motivated by absoluteness. In set theory, the issue of which properties of sets are absolute is well studied. The Shoenfield absoluteness theorem, due to Joseph Shoenfield, establishes the absoluteness of a large class of formulas between a model of set theory and its constructible universe, with important methodological consequences. The absoluteness of large cardinal axioms is also studied, with positive and negative results known.
Translations for absoluteness
From our Multilingual Translation Dictionary
Get even more translations for absoluteness »
Find a translation for the absoluteness definition in other languages:
Select another language:
Discuss these absoluteness definitions with the community:
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Use the citation below to add this definition to your bibliography:
"absoluteness." Definitions.net. STANDS4 LLC, 2015. Web. 4 Oct. 2015. <http://www.definitions.net/definition/absoluteness>.