English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The paper is devoted to construction of some closed inductive sequence ofmodels of the generalized second-order Dedekind theory of real numbers withexponentially increasing powers. These models are not isomorphic whereas allmodels of the standard second-order Dedekind theory are. The main idea inpassing to generalized models is to consider instead of superstructures withthe single common set-theoretical equality and the single commonset-theoretical belonging superstructures with several generalized equalitiesand several generalized belongings for first and second orders. The basic toolsfor the presented construction are the infraproduct of collection ofmathematical systems different from the factorized Lo\'s ultraproduct and thecorresponding generalized infrafiltration theorem. As its auxiliary corollarywe obtain the generalized compactness theorem for the generalized second-orderlanguage.

Infrafiltration Theorem and Some Inductive Sequence of Models of  Generalized Second-Order Dedekind Theory of Real Numbers With Exponentially  Increasing Powers