embeddings

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 real-closed fields) turn out to be elementary.

First-order Model Theory Hodges, Wilfrid 2009

Elementary embeddings are natural maps to consider within first-order model theory.

First-order Model Theory Hodges, Wilfrid 2009

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

Boys in White Suits 2009

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

First-order Model Theory Hodges, Wilfrid 2009

Alternatively non-cognitivists 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.

Boys in White Suits 2009

As the name implies, elementary embeddings are always embeddings.

First-order Model Theory Hodges, Wilfrid 2009

It was the opening if-clause, a 41-word cliff-hanger with three who-clause embeddings.

On Obama's victory style DC 2008

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.

Combinatory Logic Bimbó, Katalin 2008

It was the opening if-clause, a 41-word cliff-hanger with three who-clause embeddings.

Archive 2008-11-01 DC 2008

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

John F. Nash, Jr. - Autobiography 1995