Three chapters contain the results independent of each other. In the first chapter I present a set of axioms for the propositional calculus which are shorter than the ones known so far, in the second one I give a method of defining all ternary connectives, in the third one, I prove that the probability of propositional functions is preserved under reversible substitutions.

The aim of the paper is to give a new definition of real number. The logical type of any number defined is that of the function B = h(A) which assigns to a class of sets A a class of sets B. I give some conditions which the function h has to fulfill to be considered as number; an intuitive sense of the conditions is as follows: a function, which is number, assigns a class of sets of measure h·m to (...) a class A of sets of equal measure, where m is the measure of A. (shrink)

In this brief note we would like to outline the main events of life and the main achievements of Stanisław Jaśkowski one of the important Polish logician and mathematician of the first half of twentieth century.

In 1934 Stanisław Jaśkowski published his groundbreaking work on natural deduction. At the same year Gerhard Gentzen also published a work on the same topic. We aim at presenting of Jaśkowski’s system and provide a comparison with Gentzen’s approach. We also try to outline the influence of Jaśkowski’s approach on the later development of natural deduction systems.

A universally free logic is a system of quantification theory, with or without identity, whose theses remain logically true if the domain of quantification is empty and some of the singular terms present in the language do not denote existing objects. In the West, logics satisfying and ones satisfying were developed starting in the 1950s. But Stanisław Jaśkowski preceded all this work by some twenty years: his paper “On the Rules of Supposition in Formal Logic” of 1934 can (...) be regarded as containing, at least implicitly, the first universally free logic. The system proposed there is an inclusive logic as it is, and a straightforward extension of it is also free. (shrink)

Visual targets which follow a prime stimulus and a mask can be identified faster when they are incompatible rather than compatible with the prime . According to the self-inhibition hypothesis, the initial activation of the motor response is elicited by the prime based on its identity. This activation leads to benefits for compatible trials and costs for incompatible trials. This motor activation is followed by an inhibition phase, leading to an NCE if perceptual evidence of the prime is immediately removed (...) by the mask. The object-updating and mask-triggered inhibition hypotheses emphasize the role of the mask content . We show that the NCE may appear even if nonmasking neutral flankers are presented instead of a mask. Moreover, although with target-like flankers the NCE is larger, it occurred if flankers and targets are built from dissimilar elements. Therefore, masks/flankers can evoke an inhibition phase independently of whether or not they remove evidence for the prime and whether they are similar to the targets. (shrink)

Democracy - hope or illusion? Blooming, failing or declining? Our doubts and hesitation make part of unbending efforts to endorse and explain democracy. Who is right - the custodians of promise or the prophets of decline? The book concentrates on doubts. The author tries to explore «the other side of the moon», emphasizing the role of critical thinking, opposing a main-current optimism. Defending democracy we want to generate hope, but hoping may be a dangerous craft. Protecting our hope we are (...) prone to believe that democracy - even if it is not a full success story - is justified in its nature and out of question. How much do we have to forget to sanction this view? This is, in fact, the main question the book raises. It gives voice to those who never, in their writing on democracy, used a flattering tone. Starting with Greek giants - Plato and Aristotle - up to modern and most recent times, going through a broad field of revealing criticism, leaving us with an unsettling feeling that democracy is rather something to be explained than something to be celebrated. Living in democracy, lamenting its underperformances, we must not overlook a fundamental question - in what part do our disappointments reflect the «art of forgetting», allowing us to cast into oblivion all serious doubts originating in a critical discourse on modernity and democracy? (shrink)

The book by professor Stanisław Kowalczyk, renowned scholar in the field of social philosophy, is, without doubt, one of the most important studies on the idea of freedom. The concept of freedom is as old as mankind. It has many meanings and has been interpreted in many different ways. For instance, we also have the word „liberty," which means „freedom or right" and is synonymous with the word freedom, which means „the condition of being free." The author indicates that (...) in our times the notion of freedom is most frequently used; however, it is often misused or deceptive. Mass media and people of all walks of life talk of liberty; everyone talks of freedom and, for many, it is the highest value. Longing for freedom is rooted in the heart of every human being, for freedom is an existential correlate and the fulfilment of the rational human being. The semantic confusion about the notion of freedom leads to many misuses of the concept. Personalism, as a philosophical concept in which a person stands in the centre of all discussion, serves as a framework for the author's delineation on the concept of freedom. He further states that the appropriate understanding of this value is possible in the context of the personalistic interpretation of a human being. This is the focus of this informative and insightful book. (shrink)

Choice reaction times to visual stimuli may be influenced by preceding subliminal stimuli . Some authors reported a straight priming effect i.e., responses were faster when primes and targets called for the same response than when they called for different responses. Others found the reversed pattern of results. Eimer and Schlaghecken [Eimer, M. & Schlaghecken, F. . Links between conscious awareness and response inhibition: evidence from masked priming. Psychonomic Bulletin & Review, 9, 514–520.] showed recently that straight priming occurs whenever (...) a prime is not efficiently masked thereby the information provided by the prime is accessible for consciousness. In the present study, a hypothesis is tested that straight priming is due to mediation of consciousness. To test this hypothesis, prime validity was manipulated. We showed that even when no mask was used so that participants could fully and consciously perceive the prime and participants were informed that primes were mostly invalid, for the short prime–target ISI interval straight priming occurred. The priming was inverse when the ISI was 800 ms. This indicates that participants were able to use the information provided by the prime to prepare the response opposite to that cued by the prime but only if the time between the prime and the target was long enough. (shrink)

Masked stimuli can affect the preparation of a motor response to subsequently presented target stimuli. Under some conditions, reactions to the main stimulus can be facilitated or inhibited when preceded by a compatible prime . In the majority of studies in which inverse priming was demonstrated arrows pointing left or right were used as prime and targets. There is, however, evidence that arrows are special overlearned stimuli which are processed in a favorable way. Here we report three experiments designated to (...) test whether the “arrowness” of primes/targets is a sufficient condition for inverse priming. The results clearly show that although inverse priming appeared when non-arrow shapes were used, the magnitude of the priming effect was larger with arrows. The possible reasons for this effect are discussed. (shrink)

The purpose of the essay is to critically analyze the influence of J. Derrida’s deconstruction on David J. Gunkel’s book Deconstruction (MIT Press 2021). Gunkel’s handbook is aimed at making deconstruction a tool of critical thinking accessible to non-professionals. It turns out that accomplishing this task comes at the expense of precisely the critical potential of deconstruction itself. Gunkel is well aware that his arguments are sometimes superficial and overlook deeper problems that should be addressed. Such a failure takes the (...) form of a fetishistic denial, which in psychoanalysis is summarized by the formula “I know well, but all the same.” In turn, deconstruction itself, insofar as it is separated from Kant’s transcendental philosophy and Hegel’s dialectics, becomes an academic ideology. Restoring its proper subversive potential can only be done by returning to a philosophy of reflection, in which the thinker himself must ultimately consider his own position as an author and bring it under criticism. This is the path that Gunkel avoids, because he could then no longer be the author of a handbook on deconstruction, rather than someone who practices deconstruction. -------------------------- Received: 4/11/2022. Reviewed: 13/12/2022. Accepted: 20/12/2022. (shrink)

Demokracja i erozja tradycji Oświecenia -- Mit, polityka, popkultura -- Przyjaźń i mizantropia : czego uczy nas liberalizm?