Husserl's two notions of completeness: husserl and hilbert on completeness and imaginary elements in mathematics

In this paper I discuss Husserl's solution of the problem of imaginary elements in mathematics as presented in the drafts for two lectures he gave in Göttingen in 1901 and other related texts of the same period, a problem that had occupied Husserl since the beginning of 1890, when he was planning a never published sequel to Philosophie der Arithmetik (1891). In order to solve the problem of imaginary entities Husserl introduced, independently of Hilbert, two notions of completeness (definiteness in Husserl's terminology) for a formal axiomatic system. I present and discuss these notions here, establishing also parallels between Husserl's and Hilbert's notions of completeness. © 2000 Kluwer Academic Publishers.

Completeness for coherent states in a magnetic-solenoid field

This paper completes our study of coherent states in the so-called magnetic-solenoid field (a collinear combination of a constant uniform magnetic field and Aharonov-Bohm solenoid field) presented in Bagrov et al (2010 J. Phys. A: Math. Theor. 43 354016, 2011 J. Phys. A: Math. Theor. 44 055301). Here, we succeeded in proving nontrivial completeness relations for non-relativistic and relativistic coherent states in such a field. In addition, we solve here the relevant Stieltjes moment problem and present a comparative analysis of our coherent states and the well-known, in the case of pure uniform magnetic field, Malkin-Man'ko coherent states.

Completeness of reporting in randomized controlled trials of 3 vaccines: a review of adherence to the CONSORT checklist

Clear reporting of randomized controlled trials (RCTs) of vaccines is important for understanding results and assessing their validity. The CONsolidated Standards of Reporting Trials (CONSORT) statement provides guidance to help authors reporting RCTs. The objective was to assess the completeness of reporting of RCTs of vaccines based on the CONSORT 2010 checklist.

Reporting completeness of abstracts of systematic reviews published in leading dental specialty journals

The aim of this study was to investigate the reporting completeness of systematic review (SR) abstracts in leading dental specialty journals. Electronic and supplementary hand searching were undertaken to identify SRs published in seven dental specialty journals and in the Cochrane Database of Systematic Reviews. Abstract reporting completeness was evaluated using a checklist derived from the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (prisma) guidelines. Descriptive statistics followed by univariate and multivariate analyses were conducted. Two-hundred and eighteen SR abstracts were identified. Reporting of interventions (94%), objectives (96%), data sources (81%), eligibility criteria (77%), and conclusions (97%) was adequate in the majority of reviews. However, inadequate reporting of participants (18%), results (42%), effect size (14%), level of significance (60%), and trial registration (100%) was commonplace. The mean overall reporting score was 79.1% (95% CI, 77.6-80.6). Only journal of publication was a significant predictor of overall reporting, with inferior results for all journals relative to Cochrane reviews, with scores ranging from -4.3% (95% CI, -8.74 to 0.08) to -35.6% (95% CI, -42.0 to -24.3) for the International Journal of Prosthodontics and the British Journal of Oral and Maxillofacial Surgery, respectively. Improved reporting of dental SR abstracts is needed and should be encouraged, as these abstracts may underpin influential clinical decisions.

Completeness of Follow-Up Determines Validity of Study Findings: Results of a Prospective Repeated Measures Cohort Study.

BACKGROUND Current reporting guidelines do not call for standardised declaration of follow-up completeness, although study validity depends on the representativeness of measured outcomes. The Follow-Up Index (FUI) describes follow-up completeness at a given study end date as ratio between the investigated and the potential follow-up period. The association between FUI and the accuracy of survival-estimates was investigated. METHODS FUI and Kaplan-Meier estimates were calculated twice for 1207 consecutive patients undergoing aortic repair during an 11-year period: in a scenario A the population's clinical routine follow-up data (available from a prospective registry) was analysed conventionally. For the control scenario B, an independent survey was completed at the predefined study end. To determine the relation between FUI and the accuracy of study findings, discrepancies between scenarios regarding FUI, follow-up duration and cumulative survival-estimates were evaluated using multivariate analyses. RESULTS Scenario A noted 89 deaths (7.4%) during a mean considered follow-up of 30±28months. Scenario B, although analysing the same study period, detected 304 deaths (25.2%, P<0.001) as it scrutinized the complete follow-up period (49±32months). FUI (0.57±0.35 versus 1.00±0, P<0.001) and cumulative survival estimates (78.7% versus 50.7%, P<0.001) differed significantly between scenarios, suggesting that incomplete follow-up information led to underestimation of mortality. Degree of follow-up completeness (i.e. FUI-quartiles and FUI-intervals) correlated directly with accuracy of study findings: underestimation of long-term mortality increased almost linearly by 30% with every 0.1 drop in FUI (adjusted HR 1.30; 95%-CI 1.24;1.36, P<0.001). CONCLUSION Follow-up completeness is a pre-requisite for reliable outcome assessment and should be declared systematically. FUI represents a simple measure suited as reporting standard. Evidence lacking such information must be challenged as potentially flawed by selection bias.

On paracompactness, completeness and boundedness in uniform spaces

Recently two new types of completeness in metric spaces, called Bourbaki-completeness and cofinal Bourbaki-completeness, have been introduced in [7]. The purpose of this note is to analyze these completeness properties in the general context of uniform spaces. More precisely, we are interested in how they are related with uniform paracompactness properties, as well as with some kind of uniform boundedness.

Adverse pregnancy outcomes reporting system, item-specific completeness of reporting for 1989.

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IDOC-CIMIS audit report : accuracy and completeness of the Illinois Department of Corrections CIMIS database.

"March 1986."