Logical form and logical analysis as the search for it have been introduced during the development of logic and analytical philosophy and are still widely considered as key tools or methods for the solution of philosophical puzzles. It is instructive to have a look at a criticism of these presupositions and I present Wittgenstein as the author who provides such a criticism. I present a development of his view of logical form which went from the thesis of the ineffability of (...) logical form to the denial of the meaningfulness of the notion of logical form as such. This refusal is linked to Wittgenstein’s abandonment of the idea of the language of pure experience. The method of philosophical therapies is presented as an alternative to logical analysis and this methodology is linked with Wittgenstein’s consideration of game and family resemblance. (shrink)

As the foundation of our rationality, logic has traditionally been considered fixed, stable and constant. This conception of the discipline has been challenged recently by the plurality of logics and in this book, Pavel Arazim extends the debate to offer a new view of logic as dynamic and without a definite, specific shape. The Problem of Plurality of Logics examines the origins of our standard view of logic alongside Kant's theories, the holistic view, the issue of logic's pragmatic (...) significance and Robert Brandom's logical expressivism. Arazim then draws on proof-theoretical approaches to present a convincing argument for a dynamic version of logical inferentialism, which opens space for a new freedom to modify our own logic. He explores the scope, possibilities and limits of this freedom in order to highlight the future paths logic could take, as a motivation for further research. Marking a departure from logical monism and also from the recent doctrine of logical pluralism in its various forms, this book addresses current debates concerning the expressive role of logic and contributes to a lively area of discussion in analytic philosophy. (shrink)

Logical pluralism as a thesis that more than one logic is correct seems very plausible for two basic reasons. First, there are so many logical systems on the market today. And it is unclear how we should decide which of them gets the logical rules right. On the other hand, logical monism as the opposite thesis still seems plausible, as well, because of normativity of logic. An approach which would manage to bring a synthesis of both logical pluralism and logical (...) monism is called for. I review the possible forms of logical pluralism and render them more plausible. I thus arrive at logical dynamism, a synthesis of various pluralisms and monism focused on how logic develops. (shrink)

This volume of the Logica Yearbook series brings together articles presented at the annual international symposium Logica 2017, Hejnice, the Czech Republic. The articles range over mathematical and philosophical logic, history and philosophy of logic, and the analysis of natural language.

Henri Bergson se za svého života těšil velké popularitě. Přes jistý ústup ze slávy jeho filosofie i v druhé polovině dvacátého století inspirovala např. Gillese Deleuze. Nicméně analytická filosofie Bergsonovi dosud mnoho pozornosti nevěnovala. Ačkoli na první pohled skutečně s analytickou filosofií nemá mnoho společného, najdeme v jeho díle některé myšlenky, které by si zasloužily, aby je analytická filosofie zhodnotila. Zaměříme se na Bergsonovo pojetí špatně položených otázek, které je v mnohém podobné pojetí logických pozitivistů. Dále navrhneme, v čem může (...) spočívat jeho přínos pro teorii pravidel a normativistickou teorii významu. Obě témata jsou zde především programaticky nastíněna, jejich hlubší rozpracování je úkol pro další práci. (shrink)

Inferentialism has brought important insights into the nature of meanings. It breaks with the representationalist tradition that sees meanings as constituted primarily by representing some extra-linguistic reality. Yet the break with tradition should be pursued further. Inferentialists still regard meanings as static, and they still do not entirely abandon the idea of fully determined meaning. Following Davidon’s ideas about meanings as constituted only in the course of a specific conversation, I propose a dynamic account of what meanings are. They are (...) described as entities belonging to the dynamic realm of Henri Bergson’s duration. The inhabitants of this realm live in constant movement and development which is more essential to them than the stages that this development goes through. My account brings about a rejection of the notion of the strict literal meaning and therewith also of the contrasting notions such as ambiguity. Meaning is understood as a dynamic entity that is characterized rather by its history than by its nature. (shrink)

Inferentialism has brought important insights into the nature of meanings. It breaks with the representationalist tradition that sees meanings as constituted primarily by representing some extra-linguistic reality. Yet the break with tradition should be pursued further. Inferentialists still regard meanings as static, and they still do not entirely abandon the idea of fully determined meaning. Following Davidon’s ideas about meanings as constituted only in the course of a specific conversation, I propose a dynamic account of what meanings are. They are (...) described as entities belonging to the dynamic realm of Henri Bergson’s duration. The inhabitants of this realm live in constant movement and development which is more essential to them than the stages that this development goes through. My account brings about a rejection of the notion of strict literal meaning and therewith also of the contrasting notions such as ambiguity. Meaning is understood as a dynamic entity that is characterized rather by its history than by its nature. (shrink)

Various attempts at demarcating logic were undertaken, many of them based on specific understanding of how logical knowledge is formal and not material. MacFarlane has persuasively shown that general idea of formality of logic can be understood in various ways. I take two of the accounts of formality, namely the requirement of conservativity and the requirement of schematicity of logical vocabulary, into consideration as promising candidates to make the all too unclear notion of formality more precise and study to what (...) degree they could be considered as either necessary or sufficient conditions for logicality of some piece of vocabulary. Finding both notion unsatisfactory, as they stand, I propose combining them and envisage a hierarchy of logicality of expressions of a given language. Such a hierarchy is complicated and not linear, yet still offers a valuable explication of both the range and pragmatic significance of logic, if we combine it with logical expressivism. (shrink)

Logical pluralism from historical perspective -The plurality of logics is understood as a challenge to seek a deeper understanding of the na- ture and import of logic. Two basic approaches to demarcation of logic are considered, the model-theoretic and the proof-theoretic one. Investigation of the history which led to these two appraoches identifies the postion of logic in Kant's epistemology as crucial for the devel- opment. An analogical development from Kant's conception of geometry to the plurality of geometric theories leads (...) to a holistic view both of geometry and of logic. It furthermore proves essential to understand the pragmatic import of logic. Given the problems tied to the attempts to demarcate logic, inferentialism and logical expressivism are arrived at as jointly provid- ing the most appropriate account. These approaches are developed into a conception which stresses, in line with the historical perspective of the work, the ability of logic to develop. (shrink)

This volume of the Logica Yearbook series brings together articles presented at the annual international symposium Logica 2015, Hejnice, the Czech Republic. The articles range over mathematical and philosophical logic, history and philosophy of logic, and the analysis of natural language.

Of two false theories, One can be, Intuitively, Closer to the truth than the other. The purpose of the article is to propose a rigorous explication of this intuitive notion.

The subject of the study is the socio-cultural threats to the information security of Russian citizens associated with ChatGPT technologies (Chat Generative Pre-trained Transformer, a machine-generated text response generator simulating a dialogue). The object of research − evaluation of the ratio of advantages and threats of generative language models based on "machine learning" in modern (2021-2023) scientific literature (journals HAC K1, K2 and Scopus Q1, Q2). The scientific novelty of the research lies in the culturological approach to the analysis of (...) threats to the security of Russian citizens associated with the use of ChatGPT as one of the technologies of "artificial intelligence". The formulation of the problem of the classical Turing test "to distinguish a person from a machine" is characterized as a scholastic abstraction, instead a more correct and productive approach is proposed: a socio-cultural assessment of the value (based on cultural axiology) of new computer technologies. The starting point of the analysis is the determination of socio-cultural value (or, conversely, damage) as a result of the use of generative language models based on machine learning. Further, the contribution and responsibility of various socio-cultural subjects of its creation and application are revealed − user, creator and developer. The result of the application of the proposed approach is the deconstruction of the discourse of the "philosophy of artificial intelligence" in terms of uncritical translation of developer declarations intended for marketing and attracting financing. Hypertrophied perception, precariously balancing on the edge of utopia and dystopia, is assessed as a risk of incorrect identification and ranking of threats to information security. Assumptions about the hypothetical "superweapon of psychological warfare" mask modern incidents of cross-border leakage of confidential data, the risks of being held accountable for publishing deliberately false information and illegal content as a result of using ChatGPT. National security measures are recommended, including restrictive measures and increasing the general civil culture of information security of users, as well as the orientation of domestic developments of solutions of this type on traditional values, socio-cultural identity and interests of Russian citizens. (shrink)

Aristotle was deeply fascinated by animals on account of their self-motion—that is, animals move themselves from one place to another in response to their needs and desires rather than in mechanical or chemical reaction to things in their environment, as inanimate things and plants do. This ability requires sensory awareness of one's environment and sophisticated control of one's body. Moreover, Aristotle was intrigued by the sheer variety of ways animals move themselves and of the parts they employ to do so. (...) Indeed, this variety was something Aristotle systematically observed and held in need of scientific explanation, which is precisely what he delivers in the short treatise, On Progression of Animals (De incessu... Read More. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:RUSSELLS ARGUMENT AGAINST FREGE'S SENSE-REFERENCE DISTINCTION PAWEL TURNAu Philosophy I Jagiellonian University Cracow, Poland I n "On Denoting"l Russell argued that Frege's theory of sense and reference was an "inextricable tangle", but, ironically, many readers found the argument even more knotry. In an effort to make sense of it, commentators were often driven to attribute to Russell quite obvious and simple fallacies. A different approach was taken by Peter (...) Geach, who suggested that Russell's argument could be given a consistent reading if it were construed as arguing, not against Frege's theory, but against Russell's own earlier theory, which he put forward in The Principles of Mathematics. It is not an implausible hypothesis, considering how prone Russell was to misrepresent' other philosophers' views and read his own powerful ideas into their writings. In order to justifY Geach's hypothesis properly, one would have to show the crucial difference between Russell's and Frege's theories that made only one of them susceptible to the attack in "On Denoting ". Russell explicitly considered the two theories to be "very nearly the same"; this self-interpretation would have to be questioned. Geach's hypothesis would be further strengthened by providing an actual exegesis of the "On Denoting" argument as directed against The Principles ofMathematics theory. In this paper 1 will try to accomplish both of these tasks. Russell is often accused of confusing use and mention. The accusation is not fair, however. It is true that he does not insist on this distinction; he does not employ it extensively. But he is certainly Russell's Argument against Frege's Distinction 53 aware of it; he simply does not think that it is an important logical distinction. Today this view may seem almost incomprehensible, but that only shows the strength of Frege's influence on our ideas. There are two striking symptoms of Russell's lack of concern for the use-mention distinction: firstly, he does not observe the convention which says that putting an expression in quotation marks produces a name of that expression; secondly, he does not feel any need to employ the pair of terms "sentence" and "proposition", but contents himself with the latter only. The claim about Russell's use of inverted commas needs to be proved; I will come to that later. Russell's assertions are often ambiguous between use and mention of expressions. For example, he asserts that "propositions do not contain words" (PaM, p. 47). However, a few pages later, he speaks of propositions that contain the phrase "any number" (p. 53). If this is not to be self-contradictory, then either the term "proposition" must sometimes signifY a linguistic expression, or the term "phrase" must sometimes be understood without implying that a phrase consists of words. This ambiguity is openly admitted in a later article, where he writes: [we shall be concerned with] the distinction between verbs and substantives, or, more correctly, between the objects denoted by verbs and the objects denoted by substantives. Since this more correct expression is long and cumbrous, I shall generally use the shorter expression to mean the same thing. Thus, when I speak of verbs, I mean the object denoted by verbs, and similarly for substantives.2. Russell's attitude towards the distinction between use and mention is not unjustified. It has its reason in his view oflanguage and the subject -matter of logic. In Russell's view, the subject-matter of logic has nothing to do with language. Words, both spoken and written, are entirely outside its realm. Logic, just as other sciences (except linguistics ), is concerned with the entities indicated by words, and not with words themselves. Even the relation of indicating, which holds between words and things in the world, is of no interest to it: "mean1 In Lf(, pp. 39-56. russ.lI: the Journal of the Bertrand Russell Archives McMaster Univecsity Library Press n.s. 11 (summer 1991): 51- 66 ISSN 0036-o16~ 2 B. Russell, "On the Relations of Universals and Particulars", Proceedings of the Aristotelian Society, n.s. 12 (r9II-12): 1-24; in Lf(, pp. 103-24 (at 107-8). 54 PAWEL TURNAU Russell's Argument... (shrink)

Chapter One: Constructions. Entities, constructions, and functions When one travels from Los Angeles to New York, going, say, by way of St. Louis, Chicago, ...

This article provides an ethical analysis of the moral conflict over access to premium audio-visual online content, which is currently regulated by geo-blocking in the domain of digital film distri...

The subject of the article is the philosophical and cultural methodology of digital "virtual reality", comparing the declarations of developers with the practical possibilities and social consequences of using such technologies. The developers presented projects of online digital content services for all five senses using special equipment (glasses, headphones, interactive gloves, joysticks, costumes, printers of smells and tastes, etc.). It was assumed that virtual reality would surpass the reliability of previous multimedia content and interactive computer games, and the persuasiveness and (...) attractiveness of traditional technical means of art and the press. Failure to fulfill these promises has led to significant losses since 2022 for leading companies developing digital virtual reality technologies Meta (recognized by the court as an extremist organization on 03/21/2022, activity is limited in the territory of the Russian Federation), Microsoft HapticLinks, Cave, AlloSphere, Teslasuit, VRealizer. There was a need to assess how and to what extent the methodology used and the predicted capabilities of digital virtual reality were correct. Philosophical and cultural analysis as a research method reveals: the developers of digital virtual reality promised the methodologically impossible, reducing human perception to the "sum" of the external "five senses" out of connection with the "self", inner sensitivity, bodily self-perceptions. A person is only partially amenable to algorithmized digital interaction; a critical barrier to digital virtuality is the socio-cultural identity of society and personality. The novelty of the results of the analysis lies in the conclusion: digital virtual reality in many respects is fundamentally inferior in effectiveness to traditional technical means of sensory and emotional impact and cognition, used both for creative and destructive purposes. In terms of creative potential, digital virtual reality is inferior to the technical means of art, science, education, upbringing, etc., and in terms of destructive capabilities, it is already used in the press and other mass communications technologies for manipulating public and individual consciousness, as well as psychotropic substances that cause addiction. National regulation of the development of digital "virtual reality" is recommended, aimed at protecting and developing the socio-cultural identity of Russian citizens and society, as well as for cognitive and educational purposes. It is recommended to limit the remote use of such developments to trusted domestic Internet services. (shrink)

It is widely held that oblique contexts and indexical terms present difficulties to Frege's theory of sense. The aim of the present paper is to show that a simple device involving no revision of Frege's semantic doctrine resolves all the alleged difficulties. A simple extension of Frege's notation is proposed which makes it possible to translate oblique contexts into the concept script.

My book is about the human creativity being a source of progress, and cycling of evolution caused by platitude and triviality of once high-reaching idealism. In essence the book presents an original perception of human history, based on Christian values as vital coordinates system. I hope this book will revive the interest to the Russian school of thoughts and to humanism in general.

De mundo is a protreptic to philosophy in the form of a letter to Alexander the Great and is traditionally ascribed to Aristotle. It offers a unique view of the cosmos, God and their relationship, which was inspired by Aristotle but written by a later author. The author provides an outline of cosmology, geography and meteorology, only to argue that a full understanding of the cosmos cannot be achieved without a proper grasp of God as its ultimate cause. To ensure (...) such a grasp, the author provides a series of twelve carefully chosen interlocking analogies, building a complex picture in the reader's mind. The work develops a distinctly Aristotelian picture of God and the cosmos while paying tribute to pre-Aristotelian philosophers and avoiding open criticism of rival schools of philosophy. De mundo exercised considerable influence in late antiquity and then in the Renaissance and Early Modern times. (shrink)

The paper deals with the etymology of the personal names Qunï Säŋün and Toŋra Simä appearing in the ninth line of the Old Turkic Tonyukuk inscription. These names are borne by the envoys sent by the kagan of the Tokuz Oghuz to the Chinese and Khitan, respectively, to conclude a military alliance against the Turks. Both names have the same structure, a combination of an ethnonym vs. toŋra), referring to a tribal unit within the Tiele 鐵勒 confederation, and a title (...) of Chinese origin. Based on a thorough analysis of historical and philological data, the authors try to establish possible ethnolinguistic grounds for the Tokuz Oghuz mission, which have so far eluded researchers of the inscription and can be fully restored only in the light of the latest discoveries in the history and philology of Inner Asia of the Old Turkic period, e.g., the decipherment of the famous Khüis Tolgoi inscription from Mongolia. (shrink)

A review of Jozef Kovalčik´s and Max Ryynänen´s Aesthetics of Popular Culture.

The central focus of this book is the concept of higher education reform in the light of an international and global comparative perspective. After decades of far-reaching reform, higher education around the world has profoundly changed and now has to face the challenges of the present. This volume takes a close look at these changes, the drivers of change, their effects and possible future scenarios. In their contributions the authors discuss a variety of basic concepts: learning and teaching in higher (...) education; financing and quality assurance; governance change; massification vs. equity and equality; internationalization and mobility, the implementation of lifelong structures in higher education. (shrink)

Levinstein recently presented a challenge to accuracy-first epistemology. He claims that there is no strictly proper, truth-directed, additive, and differentiable scoring rule that recognises the contingency of varying importance, i.e., the fact that an agent might value the inaccuracy of her credences differently at different possible worlds. In my response, I will argue that accuracy-first epistemology can capture the contingency of varying importance while maintaining its commitment to additivity, propriety, truth-directedness, and differentiability. I will construct a scoring rule — a (...) weighted scoring rule — and a global inaccuracy measure that has all four required properties and recognises the contingency of varying importance. I will show that Levinstein’s and my results coexist without contradicting each other. (shrink)

2 Popper's Logical Definition of Verisimilitude. 3 Popper's Probabilistic Definition of Verisimilitude. 4 Conclusion.

The article focuses on process management in public administration using the specific case study of the statutory city of Ostrava. Based on the selected part of the PAPRIS methodology, the process management is verified, and conclusions from the application of information system e-SMO are generalized. Ostrava is third the biggest city in Czech Republic with approximately 320 thousand citizen. Article describes experiences with SW implements, which are used for model of process in public administration. Particulary at local authority of Ostrava (...) town. Model of process is a basis for reengineering of process in state administration and preparation for implementation of big information systems. Mapping of process is providing implement and confirmation methodology to identify existing processes. Problem with its using consist in that, senior manager don’t informs, what organization is determination by processes. If are not described in given to organization current processes, or how would have had look new optimum processes, will not endeavour about reengineering successful. Procedural analysis namely offer tool and check methodology to identification current suit and it is possible him use either as instruction for reengineering function handling administrative and self-rule activities. Purpose of the article: The PAPRIS methodology was used when defining the objectives for implementation of the information system for public administration. This methodology has been elaborated by one of the authors and published in a very general scheme when solving many case studies,,. We assume that the PAPRIS is primarily a methodology with incorporated elements of procedural approach for project management in public administration information systems. The specific supporting process of communication between the client and the e-SMO system has been chosen for verification. The model of supporting communication process, created by ARIS tools, is crucial, and the structure of scripts is subsequently made. The aim of this article is to verify that the methodology is sufficient and appropriate to manage such a large project such, undoubtedly, is the e-SMO. Methodology/methods: Defined productive and non-productive processes with their defined process cuts represent a crucial category for the process structure of IS projects. This is fully accepted by the PAPRIS methodology. Process cuts are understood, in the logic modelling according to the PAPRIS methodology, as clearly defined logic directional cuts in three-dimensional space of all project processes. The process set is systemically categorized, in a given logic directional cut, into mutually disjoint process subsets, which are characterized by this particular directional operator. The directional operator always has a clear logical allocation that is based on the construction of a process view. Theoretically, an infinite number of process views can be used. One of the important issues in a methodology for the case studies includes the size of the research sample. It is usually assumed that there is no ideal number of cases and that the number between four and ten usually provides good results. Other authors defining against any quantitative standards for any determination of the sample size of the case studies, since such an approach denies the internal logic of this methodology and the richness of the information obtained from participants in the research. Research which is carried out using case studies does not aspire on compliance with the requirement the representativeness of the sample.. Methodology of case studies is among the established guidelines of qualitative research. Research on using case studies in the last 30 years has seen an extraordinary increase in social-scientific research, including research on business and management. Scientific aim: The essential aim of this study is to describe the way the process cut defines a productive process and non-productive process, in accordance with the PAPRIS methodology using the specific example. While the triggering mechanism of the project production process is an event causing its own production - i.e. the specific output with added value for the customer, the project of non-productive process is caused by the project management event. Therefore, it is caused by the need to control, monitor, track, inspect, evaluate outputs, decide and regulate the project implementation. Findings: Within the support of the communication process, two examples were used to verify the methodology. The global perspective on the process was created in ARIS tools and the communication between the call centre and the client was made in Visio tools. The PAPRIS methodology is based on the concept of process variability, which has been clearly formulated. The fundamental direction of the process development, anticipated changes and the opportunity to react to them in accordance with defined objectives of the PAIS project are guaranteed. (shrink)

The article analyzes the concept of serendipity as a property and state of personality. The approach chosen by the author is aesthetic; the problem is covered from the perspectives of pedagogy and didactics. The object of the study is the phenomenon of "intuitive serendipity", the subject is the methods of creativity development. Comparison of different types of thinking (inductive, deductive, paradoxical) allowed us to make a number of generalizing judgments. In particular, the superiority of "paradox logic" over formal logic and (...) the role of intuition and "sense of truth" in the process of cognition. On the basis of the conclusions it is proposed to discuss the author's hypothesis of the trigger principle of learning based on cultivating a craving for knowledge, ideological immunity and the ability to independently search for and analyze information, as well as to implement it in the creative process. В статье приводится анализ понятия серендипности как свойства и состояния личности. Выбранный автором подход — эстетический; освещение проблемы в ракурсах педагогики и дидактики. Объект исследования — феномен "интуитивной прозорливости", предмет — методики развития творческого потенциала. Сравнение различных типов мышления (индуктивное, дедуктивное, парадоксальное) позволило выйти на ряд суждений обобщающего характера. В частности — о превосходстве "логики парадокса" над логикой формальной и о роли интуиции и "чувства истины" в процессе познания. На основании выводов предлагается обсудить авторскую гипотезу триггерного принципа обучения, основанного на культивировании тяги к знаниям, идеологического иммунитета и способности самостоятельно искать и анализировать информацию, а также реализовывать ее в творческом процессе. (shrink)

Pár slov úvodem k dopisu, který poslal Pavel Tichý z University of Otago Pavlu Maternovi (který v té době ´pracoval´ na brněnské univerzitě bez možnosti učení a publikování). K dataci dopisu: Shoduji se s odhadem Dr. Raclavského, že jde patrně o r. 1975. Ti, kdo neprožili normalizaci, si těžko představí situaci. To nebylo tak, že můj přítel Tichý momentálně působí na Novém Zélandě a píše mi z momentálního zahraničního pobytu. Tichý byl emigrant, což mj. znamenalo, že žádnou z jeho (...) odborných statí nebylo možno u nás citovat, dále že dík faktu, o kterém každý věděl, že dopisy emigrantů jsou u nás na příslušných institucích otvírány, znamenala korespondence s emigrantem kádrovou skvrnu. O tom jsem tehdy nepřemýšlel, už proto, že četba Tichého dopisů byla nesmírně zajímavá. Byl jsem na shromažďování korespondence lajdák. Moje krátkozrakost zavinila, že se z této korespondence zachoval nepatrný zlomek. Dopis, který následuje, je ovšem obzvlášť zajímavý, a to z následujícího důvodu: Tichý měl už od šedesátých let – ještě v Československu – v hlavě zárodky svého přístupu k logice a logické analýze přirozeného jazyka (svědčí o tom jeho stati v tehdejším Filosofickém časopise, zejména stať „Smysl a procedura“ z r. 1968). Dopis, který zde uveřejňujeme, má však hodnotu historického dokumentu. Jde o první ´neformální´ formulaci jeho pojetí tzv. konstrukcí a jeho postoje k logice, což se postupně promítlo do systému Transparentní intenzionální logiky (TIL), vyloženého souvisle v monografii The Foundations of Frege´s Logic, vydané asi 13 let po tomto dopisu. Ze vzhledu dopisu je patrné, že byl psán na psacím stroji, což v těch letech bylo standardní. Musíme omluvit překlepy (ostatně to byl osobní dopis), pokud jde o nespisovnosti, vím, že Tichý ovládal češtinu velmi dobře, ale dával přednost psát přirozeně, blízko k hovorové češtině. Jistě připustíte, že jeho jazyk je zde velmi živý a že úpravy směrem ke spisovnému jazyku by narušily kouzlo bezprostřednosti a jistého emocionálního zaujetí, které z dopisu vyzařuje. Tichý posílal mně a Pavlovi Cmorejovi i nadále jednak osobní dopisy, jednak rukopisy svých statí, takže jsme měli výhodu být účastni procesu budování TIL, kterou oba (a dnes už nejenom my) pokládáme za podstatný přínos ke světové logice. --Pavel Materna. (shrink)