We study positive bilinear forms on a Hilbert space which are not necessarily bounded nor induced by some positive operator. We show when different families of bilinear forms can be described as a generalized effect algebra. In addition, we present families which are or are not monotone downwards (Dedekind upwards) σ-complete generalized effect algebras.

Tense operators in effect algebras play a key role for the representation of the dynamics of formally described physical systems. For this, it is important to know how to construct them on a given effect algebra \( E\) and how to compute all possible pairs of tense operators on \( E\) . However, we firstly need to derive a time frame which enables these constructions and computations. Hence, we usually apply a suitable set of states of the effect algebra \( (...) E\) in question. To approximate physical reality in quantum mechanics, we use only the so-called Jauch–Piron states on \( E\) in our paper. To realize our constructions, we are restricted on lattice effect algebras only. (shrink)

At a first glance, and even at a second one, it seems that if time is linear the threat of determinism is more severe than if time is branching, since in the latter case the future is open in a way it is not in the former one where, so to speak, there exists only one branch – one future. In this paper, I want to give a 'third glance' at this claim. I acknowledge that such a claim is intuitive (...) (this is the first glance) and that it is also meaningfully and interestingly defended in recent literature where branching time is either said to imply indeterminism or at least to be compatible with it. To try to make my third glance as precise and as fleshed out as possible, I shall first concentrate on what 'branching' is or could be, and I shall discuss various versions and interpretations of this view. I shall then (more quickly) turn my attention to what determinism is or could be, and I will distinguish three (well-known) kinds of it – focusing mainly on 'metaphysical determinism'. Having these tools in hand, I will then ask (and answer) the question whether branching time helps with avoiding determinism or not. As we shall see, it is incorrect to think that under the branching hypothesis the threat of determinism is any smaller – rather, I will argue that if one has reasons to think that determinism is true, branching will not help, and that the issue of branching versus linear time is then actually neutral with respect to the question whether determinism or indeterminism is true. (shrink)

1. Směry, osobnosti, problémy -- 2. Biograficko-bibliografický slovník.

Deschamps, Léger Marie,1716-1774; enlightenment; utopias; art and philosophy; philosophy, modern; 18th century.

Práce, byť i čerpala ze studií sociologů, psychologů, antropologů a kulturních historiků hry, není ani sportovní literaturou, ani teorií her, ani sociologií a psychologií fotbalu ani pokusem o antropologické určení podstaty.

Model-theoretic concepts of saturation and categoricity are studied in the context of accessible categories. Accessible categories which are categorical in a strong sense are related to categories of $M$-sets ($M$ is a monoid). Typical examples of such categories are categories of $\lambda$-saturated objects.

Sometimes, I like to write 'philosophical stories' that explain a philosophical problem, and this book is a compilation of five such stories. So this is a book for non-philosophers or for beginners in philosophy. There is a story of a bald punk that allows me to explain theories of vagueness, a story about brains in vats that gives rise to a discussion of scepticism about the external world, a story about a theft in a museum where the thief is condemned (...) twice (once for stealing a statue, and once for stealing a piece of bronze of which the statue was made), a time travel story, and a ship od Theseus revisited story. I hope to have achieved something that is both fun and serious and that will give a good picture of what philosophy is to the general public. The book is also intented for first or second year philosophy students, who can find there a starting point for understanding some debates. (shrink)

Finitary quasivarieties are characterized categorically by the existence of colimits and of an abstractly finite, regularly projective regular generator G. Analogously, infinitary quasivarieties are characterized: one drops the assumption that G be abstractly finite. For (finitary) varieties the characterization is similar: the regular generator is assumed to be exactly projective, i.e., hom(G, –) is an exact functor. These results sharpen the classical characterization theorems of Lawvere, Isbell and other authors.

The successful early acquisition of reading literacy represents a crucial learning process determining the further course of academic development (Stanovich, 2009). During this process, interactions between children and their proximal social environment are of utmost importance. Therefore, we introduce a systemic framework for the development of learning potential (e.g., Mudrak et al., 2015, 2019, 2019b; Ziegler & Stoeger, 2017) and explore the interactions between the social and motivational processes associated with reading literacy development in school-age children. We base our analysis (...) on a representative Czech sample of fourth-grade pupils involved in the Progress in International Reading Literacy study (PIRLS, Martin et al., 2016). On the basis of the systemic framework, we hypothesized hierarchical relationships among family socioeconomic status, related developmental resources (including parental support, expectations, and reading resources), children’s reading motivation (including reading engagement and reading confidence), and manifested learning outcomes (including school grades and reading competence). We implemented three structural equation models to test the hypothesized relationships. The first model tested the direct effect of developmental resources on reading competence. The second model included the motivational variables as mediators between resources and competence. The third model included school grades as mediators between resources and motivational variables. Our analyses indicated the good fit of the proposed models. The final model explained 37.8 % of the variance in children’s school grades and 46.5 % of the variance in reading literacy test scores (compared to 34.8 % in the first model). Moreover, parental socioeconomic status was strongly associated with parental expectations, which were associated with reading confidence, partially through the effect of parental expectations on children’s school grades. Reading confidence was the main predictor of reading literacy within the model, followed by the direct effects of parental resources. The results illustrate complex processes through which the family environment affects the development of learning competencies such as reading literacy by providing children with the relevant social and material resources associated with their motivation and school outcomes. We discuss some of the reasons that these relationships may take place and consider their implications for educational practice. (shrink)

Many experimental found footage films base their meanings and effects on an interaction between the figurative content of the image and its material-technological underpinnings. Can this interaction arise accidentally without artistic appropriation? A recently digitised film by the Czech cinema pioneer Jan Kříženecký, Opening Ceremony of the Čech Bridge (1908), presents such an exercise in accidental aesthetics. At one point, the horizontal and vertical trembling of the cinematograph – obtained from the Lumière brothers – translates into a trembling of the (...) figures on the bridge so precisely that the figurative and material spheres appear to cooperate towards a common aesthetic goal. To account for such phenomena, film theory, found footage filmmaking, and archival practice need to join forces with philosophy. More specifically, Gilbert Simondon's notion of transduction, a process based on the intersection of diverse realities within a domain, allows us to conceptualise the paradoxical interaction between the figurative and material dimensions and the unintentional meanings that arise out of it. Transduction enables the distribution of elements between these heterogeneous spheres while maintaining a certain stability within a system. In the case of archival films in which transduction occurs without prior intention or expectation, transduction can be foregrounded and prolonged. The connection between transduction and the “trembling meaning” of Opening Ceremony, understood within the wider context of camera instability in experimental found footage, will uncover the aesthetic potentialities held by the autonomous creativity of film matter and its interferences with the figurative content. (shrink)

We study search problems and reducibilities between them with known or potential relevance to bounded arithmetic theories. Our primary objective is to understand the sets of low complexity consequences of theories Si2 and Ti2 for a small i, ideally in a rather strong sense of characterization; or, at least, in the standard sense of axiomatization. We also strive for maximum combinatorial simplicity of the characterizations and axiomatizations, eventually sufficient to prove conjectured separation results. To this end two techniques based on (...) the Herbrand's theorem are developed. They characterize/axiomatize Σb1-consequences of Σb2-definable search problems, while the method based on the more involved concept of characterization is easier and gives more transparent results. This method yields new proofs of Buss' witnessing theorem and of the relation between PLS and Σb1, and also an axiomatization of Σb1. (shrink)

In Fechner's psychophysics, the 'mental' and the 'physical' were conceived as two phenomenal domains, connected by functional relations, not as two ontologically different realms. We follow the path from Fechner's foundational ideas and Mach's radical programme of a unitary science to later approaches to primary, psychophysically neutral experience (phenomenology, protophysics). We propose an 'integral psychophysics' as a mathematical study of law-like, invariant structures of primary experience. This approach is illustrated by a reinterpretation of psychophysical experiments in terms of perceptual situations (...) involving a constructed apparatus and an instructed subject. The problematic notion of 'measurement of sensation' is thus eliminated: 'sensations' are merely indices for classes of perceptually equivalent configurations (states of the apparatus) specified by the instruction. The locus of the measured is in the inter-subjectively shared, communicable world—not inside the subject's mind. Finally we discuss the role of integral psychophysics as a scientia prima , logically and methodically preceding physics and psychology. (shrink)

If S, T are stationary subsets of a regular uncountable cardinal κ, we say that S reflects fully in $T, S , if for almost all α ∈ T (except a nonstationary set) S ∩ α is stationary in α. This relation is known to be a well-founded partial ordering. We say that a given poset P is realized by the reflection ordering if there is a maximal antichain $\langle X_p; p \in P\rangle$ of stationary subsets of $\operatorname{Reg}(\kappa)$ so that (...) $\forall p, q \in P \forall S \subseteq X_p, T \subseteq X_q \text{stationary}: (S We prove that if $V = L\lbrack\overset{\rightarrow\mathscr{U}}\rbrack, o^\mathscr{U} (\kappa) = \kappa^{++}$ , and P is an arbitrary well-founded poset of cardinality ≤ κ + then there is a generic extension where P is realized by the reflection ordering on κ. (shrink)

The classical liberal approach to deregulation is based on the consecutive elimination of state regulatory activities and their substitution by competitive market structure. Increasing competition accompanied with decreasing arbitrary state agencies’ interventions will undoubtedly cultivate the behaviour of market agents and bring benefits to consumers.The classical liberal approach to deregulation is incompatible with the EU deregulation model, which in case of network industries is still based on the permanent existence of regulatory agencies, Third-Party-Access, public service liability, centralized control of investments (...) and the negative reciprocity. The adoption of these principals will at least delay deregulation process in transition economies but will likely preserve the cartel structure on the utility markets.Economics of regulation and implicitly economics of deregulation is a product of the Chicago School of Economics. Since current “deregulation process” leads to tighter regulation, the adequate term for it should be the reregulation.L’approche libérale classique de la réglementation repose sur l’élimination de la réglementation étatique et leur substitution par des structures marchandes concurrentielles. Une concurrence accrue et une diminution des interventions arbitraires de l’état ne pourront que modifier le comportement des agents sur le marché et engendrer des bénéfices pour les consommateurs.L’approche de la déréglementation du libéralisme classique est incompatible avec le modèle de déréglementation de l’Union Européenne : dans le cas des industries en réseau, ce dernier demeure fondé sur l’existence continue d’agences de réglementation, la responsabilité du service public, le contrôle centralisé des investissements et la réciprocité négative. L’adoption de ces principes aura pour effet au moins de retarder le processus de déréglementation dans les économies en transition et probablement aussi de préserver la structure cartellisée des marchés de services publics.L’économie de la réglementation, et par implication, l’économie de la déréglementation est une contribution émanant de l’Ecole d’Economie de Chicago. Parce que les “processus de déréglemen- tation” en vigueur induisent des réglementations plus drastiques, l’expression appropriée devrait plutôt être la re-réglementation. (shrink)

Přehledová studie sleduje a analyzuje proměny pojmu sociální inovace. Na základě silné společenské poptávky se z původně dílčí, teoreticky nediskutované a nefixované kategorie stává kategorie obecná. Pokrývá širokou oblast nemateriálních inovací a zároveň se profiluje jako aktivita normativní a intencionální, zaměřená na obecně uznávané sociální cíle. Co do ideově-hodnotových orientací současných koncepcí sociálních inovací studie identifikuje kromě mainstreamu, který zůstává u otevřených hodnotových charakteristik, ještě směr emancipačně-mobilizační a sociálně-tržně odpovědný. V epistemologické rovině se teoretici sociálních inovací hlásí především k praktickému (...) experimentování, pragmatismu, teorii komplexnosti a principům transdisciplinarity. (shrink)

Book review on Jakub Jinek, Platón a problém filosofické vlády. Politické myšlení v dialogu Zákony. Praha (Oikúmené) 2021, 302 str.

Anotace Following Carnap's Principle of Subject Matter, Pavel Tichý proposed a methodological principle I call the "Denotational Principle of Aboutness". It says that expressions are about their denotata. Denotata are modelled as possible world intensions or (common) extensions. Nearly the same principle was recently defended by Marie Duží and Pavel Materna under the name the "Parmenides Principle". However, Duží and Materna did not react to Tichý's late proposal which I call the "Constructional Principle of Aboutness". It says that the subject (...) matter of expressions consists not in their denotata but their meanings. The meanings are explicated by Tichý, and also by Duží and Materna, as so-called constructions; constructions are complex entities akin to algorithms, they construct intensions or extensions. In this paper, I argue in favour of the Constructional Principle of Aboutness. I show that there are not only single arguments, but whole net of methodological principles which support it. This is why the topic largely transcends the debate among Tichý's followers. (shrink)

The article presents an overview concerning Heidegger's work and life, especially with respect to the contemporary state of publishing of his texts. The article aims at showing a continuity in Heidegger's Thinking of Being on one hand, but, on the other hand, stresses also necessity of a new assessment of his thought, if we take into consideration some recently published manuscripts (especially vol. 65 and 66). The necessity of a new assessment concerns also his personal standpoints during the time of (...) his rectorate in 1933-34. The new documents are presented in volume 16 (published in 2000). The author is convinced that Heidegger is a philosopher of our future. We are still waiting for a truly philosophical assessment and exploiting of his work. (shrink)

The relationship between construal and redundancy has not been previously explored empirically. Russian aspect allows speakers to construe situations as either Perfective or Imperfective, but it is not clear to what extent aspect is determined by context and therefore redundant. We investigate the relationship between redundancy and open construal by surveying 501 native Russian speakers who rated the acceptability of both Perfective and Imperfective verb forms in complete extensive authentic contexts. We find that aspect is largely redundant in 81% of (...) uses, and in 17% of contexts aspect is relatively open to construal. We contend that anchoring in redundant contexts likely facilitates the independence of construal in contexts with less redundancy. However further research is needed to discover what makes contexts redundant since known cues for aspect are absent in the majority of such contexts. Native speakers are fairly consistent in giving the original aspect high ratings, but less consistent in rating the non-original aspect, indicating potential problems in testing the reactions of speakers to non-authentic data. (shrink)

In the debate about the legal value of naked statistical evidence, Di Bello argues that (1) the likelihood ratio of such evidence is unknown, (2) the decision-theoretic considerations indicate that a conviction based on such evidence is unacceptable when expected utility maximization is combined with fairness constraints, and (3) the risk of mistaken conviction based on such evidence cannot be evaluated and is potentially too high. We argue that Di Bello’s argument for (1) works in a rather narrow context, and (...) that (1) is not exactly in line with the way expert witnesses are required to formulate their opinions. Consequently, Di Bello’s argument for (2), which assumes (1), does not apply uniformly to all convictions based on naked evidence. Moreover, if Di Bello’s analysis is correct, it applies also to eyewitness testimony, given empirical results about its quality, and so the distinctions drawn by DiBello cut across the distinction between naked statistical evidence and other types of evidence. Finally, if we weaken the rather strong requirement of precise measurability of the risk of mistaken conviction, to the availability of reasonable but imprecise and fallible estimates, many field and empirical studies show that often the risk of mistaken conviction based on naked statistical evidence can be estimated to a similar extent as the risk of mistaken conviction based on any other sort of evidence. (shrink)