Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Some properties of ordinal diagrams
View through CrossRef
The theory of ordinal diagrams has been a most powerful means for consistency proofs of some systems of second order arithmetic. The last existing result in this line is the consistency proofs of the systems with the provably -comprehension axiom and the -comprehension axiom respectively (cf. [6]). In order to pursue the consistency problem further, one needs investigate the theory of ordinal diagrams in two directions—refinement and strengthening of the theory.For this purpose we have begun to search for some properties concerning ordinal diagrams and some variations of the theory of ordinal diagrams. The reader is requested to refer to §26 of [7] for the basic knowledge of ordinal diagrams.
Title: Some properties of ordinal diagrams
Description:
The theory of ordinal diagrams has been a most powerful means for consistency proofs of some systems of second order arithmetic.
The last existing result in this line is the consistency proofs of the systems with the provably -comprehension axiom and the -comprehension axiom respectively (cf.
[6]).
In order to pursue the consistency problem further, one needs investigate the theory of ordinal diagrams in two directions—refinement and strengthening of the theory.
For this purpose we have begun to search for some properties concerning ordinal diagrams and some variations of the theory of ordinal diagrams.
The reader is requested to refer to §26 of [7] for the basic knowledge of ordinal diagrams.
Related Results
Ordinal Probability Effect Measures for Group Comparisons in Multinomial Cumulative Link Models
Ordinal Probability Effect Measures for Group Comparisons in Multinomial Cumulative Link Models
SummaryWe consider simple ordinal model-based probability effect measures for comparing distributions of two groups, adjusted for explanatory variables. An “ordinal superiority” me...
Ordinal Regression Models in Psychology: A Tutorial
Ordinal Regression Models in Psychology: A Tutorial
Ordinal variables, while extremely common in Psychology, are almost exclusively analysed with statistical models that falsely assume them to be metric. This practice can lead to di...
Drawing schematic diagrams
Drawing schematic diagrams
Schematic diagrams are invaluable in Earth Science in the communication of concepts in both publications and teaching. These diagrams can also be used during fieldwork to help deve...
Introduction
Introduction
This special issue moves beyond an understanding of diagrams as mere inscriptions of objects and processes, proposing instead to re-evaluate diagrammatic reasoning as the work that...
The Impact of Dichotomization on Network Recovery
The Impact of Dichotomization on Network Recovery
Graphical models have become an important method for studying the network structure of multivariate psychological data. Accurate recovery of the underlying network structure is par...
The Impact of Dichotomization on Network Recovery
The Impact of Dichotomization on Network Recovery
Network psychometrics has become an important method for studying the network structure of multivariate psychological data. Accurate recovery of the underlying network structure is...
Objective evaluation of fabric smoothness appearance with an ordinal classification framework based on label noise estimation
Objective evaluation of fabric smoothness appearance with an ordinal classification framework based on label noise estimation
Objective fabric smoothness appearance evaluation plays an important role in the textile and apparel industry. In most previous studies, objective fabric smoothness appearance eval...
Ordinal Simplicity in Discrete Mechanism Design
Ordinal Simplicity in Discrete Mechanism Design
ABSTRACTIn environments without transfers, market designers usually restrict attention to ordinal mechanisms. Ordinal mechanisms are simpler but miss potentially welfare‐relevant i...