| Full text | |
| Author(s): |
Esteves, Luis Gustavo
[1]
;
Izbicki, Rafael
[2]
;
Stern, Julio Michael
[1]
;
Stern, Rafael Bassi
[2]
Total Authors: 4
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil
[2] Univ Fed Sao Carlos, Dept Estat, BR-13565905 Sao Paulo - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Entropy; v. 21, n. 9 SEP 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper introduces pragmatic hypotheses and relates this concept to the spiral of scientific evolution. Previous works determined a characterization of logically consistent statistical hypothesis tests and showed that the modal operators obtained from this test can be represented in the hexagon of oppositions. However, despite the importance of precise hypothesis in science, they cannot be accepted by logically consistent tests. Here, we show that this dilemma can be overcome by the use of pragmatic versions of precise hypotheses. These pragmatic versions allow a level of imprecision in the hypothesis that is small relative to other experimental conditions. The introduction of pragmatic hypotheses allows the evolution of scientific theories based on statistical hypothesis testing to be interpreted using the narratological structure of hexagonal spirals, as defined by Pierre Gallais. (AU) | |
| FAPESP's process: | 14/50279-4 - Brasil Research Centre for Gas Innovation |
| Grantee: | Julio Romano Meneghini |
| Support Opportunities: | Research Grants - Research Centers in Engineering Program |
| FAPESP's process: | 19/11321-9 - Neural networks in statistical inference problems |
| Grantee: | Rafael Izbicki |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 17/03363-8 - Interpretability and efficiency in hypothesis tests |
| Grantee: | Rafael Izbicki |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/25302-2 - A flexible approach to high-dimensional conditional density estimation |
| Grantee: | Rafael Izbicki |
| Support Opportunities: | Regular Research Grants |