On the degree of complexity of sentential logics. A couple of examples

The first part of the paper is a reminder of fundamental results connected with the adequacy problem for sentential logics with respect to matrix semantics. One of the main notions associated with the problem, namely that of the degree of complexity of a sentential logic, is elucidated by a couple of examples in the second part of the paper. E.g., it is shown that the minimal logic of Johansson and some of its extensions have degree of complexity 2. This is the first example of an exact estimation of the degree of natural complex logics, i.e. logics whose deducibility relation cannot be represented by a single matrix. The remaining examples of complex logics are more artificial, having been constructed for the purpose of checking some theoretical possibilities.The paper was presented to the Polish Philosophical Society, Wrocaw Branch, at its meeting on March 27^th, 1980.The authors wish to thank both the referees of Studia Logica for their helpful and very insightful remarks. Following their criticism, we have been able to improve the style and structure of our presentation. In particular, we are indebted to the referees for pointing out a gap in the original proof of Theorem 2, and we have incorporated into the revised text a corrected proof of step (2.1) which one of them was kind enough to supply in detail.     

On the degree of complexity of sentential logics.II. An example of the logic with semi-negation

In this paper being a sequel to our [1] the logic with semi-negation is chosen as an example to elucidate some basic notions of the semantics for sentential calculi. E.g., there are shown some links between the Post number and the degree of complexity of a sentential logic, and it is proved that the degree of complexity of the sentential logic with semi-negation is 20. This is the first known example of a logic with such a degree of complexity. The results of the final part of the paper cast a new light on the scope of the Kripke-style semantics in comparison to the matrix semantics.In memory of Roman Suszko     

Próba uporządkowania podstawowego słownictwa prawniczego

Allatum est die 3 Junii 1963     

Emergency Research without Consent under Polish Law

Although Directive 2001/20/EC of the European Parliament and of Council of 4 April 2001 on the approximation of the laws regulations and administrative provisions of the Member States relating to the implementation of good clinical practice in the conduct of clinical trials on medicinal products for human use does not contain an exception for emergency situations, and requires the informed consent of a legal representative in all cases where research is conducted on legally competent individuals who are unable to give informed consent, in Poland, emergency research can be conducted without consent. Polish regulations on emergency research can hardly be treated as a result of intentional legislative policy. Our provisions arise from multiple and sophisticated interpretations of different regulations that govern medical experiments on human subjects and clinical trials. These interpretations can be summarized as follows: (1) There are two categories of medical experiments: therapeutic and non-therapeutic experiments. Emergency research without consent may be conducted in the category of therapeutic experiment only (therapeutic experiment consists of the introduction by the physician of new or only partially proven diagnostic, therapeutic or preventive methods in order to achieve direct benefit to the health of the patients, and it can be carried out when hitherto applied methods were ineffective or their effectiveness was insufficient). (2). Emergency research may be conducted without consent if there is a situation of great urgency in which the research subject's life is in danger and there is no possibility of obtaining immediate consent from the research subject him or herself, or from his or her legal representative or guardianship court, and the research subject has not refused to give consent for the participation in an emergency therapeutic experiment. The legal representative or guardianship court shall be provided with all the relevant information concerning subject's participation in an experiment as soon as possible. All projects of emergency research with intent to be done without the research subject's consent must be approved by an independent bioethics committee. Because these five requirements seem to provide insufficient protection for a subject's autonomy and rights it is necessary to add to them two other conditions: (1) the emergency research could not be conducted using other research participants capable of giving informed consent; and (2) informed consent for continued participation in the emergency research shall be obtained from either the participant him or herself or the legally authorized representative as soon as possible (requirement of obtaining deferred consent). A consolidated single Act that will govern all aspects of medical experiments on human subjects, including emergency research, should be prepared and enacted as soon as possible.     

Does contour classification precede contour grouping in perception of partially visible figures?

When a figure is only partially visible and its contours represent a small fraction of total image contours (as when there is much background clutter), a fast contour classification mechanism may filter non-figure contours in order to restrict the size of the input to subsequent contour grouping mechanisms. The results of two psychophysical experiments suggest that the human visual system can classify figure from non-figure contours on the basis of a difference in some contour property (e.g. length, orientation, curvature, etc). While certain contour properties (e.g. orientation, curvature) require only local analysis for classification, other contour properties (e.g. length) may require more global analysis of the retinal image. We constructed a pyramid-based computational model based on these observations and performed two simulations of experiment 1: one simulation with classification enabled and the other simulation with classification disabled. The classification-based simulation gave the superior account of human performance in experiment 1. When a figure is partially visible, with few contours relative to the number of non-figure contours, contour classification followed by contour grouping can be more efficient than contour grouping alone, owing to smaller input to grouping mechanisms.     

Randomized controlled trials versus rough set analysis: two competing approaches for evaluating clinical data

The present paper deals with the problem of evaluating empirical evidence for therapeutic decisions in medicine. The article discusses the views of Nancy Cartwright and John Worrall on the function that randomization plays in ascertaining causal relations with reference to the therapies applied. The main purpose of the paper is to present a general idea of alternative method of evaluating empirical evidence. The method builds on data analysis that makes use of rough set theory. The first attempts to apply the method show that it is an interesting alternative to randomized controlled trials.