Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun Plural form of
embedding .
Etymologies
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Examples

Around 1950 Abraham Robinson was impressed that maps between algebraic structures in general seem hardly ever to be elementary, whereas some important maps (such as embeddings between two algebraically closed fields, or between two realclosed fields) turn out to be elementary.

Elementary embeddings are natural maps to consider within firstorder model theory.

The motivating ideas here may be as follows: We know how to explain the meanings of more complicated truthfunctional embeddings by showing how the truth values of the whole are functions of the truthvalues of the component sentences.

Elementary embeddings have a number of properties that make them useful.

Alternatively noncognitivists might try to use more robust notions of representation or propertyhood, and use them to deny the representational nature of moral sentences or that they predicate properties, and contrast them with other, fully cognitive discourse, while using minimalist truth conditions to handle embeddings.

As the name implies, elementary embeddings are always embeddings.

It was the opening ifclause, a 41word cliffhanger with three whoclause embeddings.

The importance of selecting continuous functions is that the emerging function space has the same cardinality as the underlying set, which allows defining embeddings between function spaces adjacent within the hierarchy.

It was the opening ifclause, a 41word cliffhanger with three whoclause embeddings.

And later, with "heavy analysis", the problem was solved in terms of embeddings with a more proper degree of smoothness.
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