The article presents the results of the phonemic-graphemic analysis of the proscription entries from 15th century, which come from the book of city Jauer and were written down in the Silesian dialect of the Early New High German. Due to the analysis it could be proved, the text contains the standard Early New High German features as well as the dialectal structures and the sound changes, which are characteristic for the Silesian dialect. All the results of the exploration are supported (...) with with the appropriate examples. (shrink)

Topic modeling—a text‐mining technique often used to uncover thematic structures in large collections of texts—has been increasingly frequently used in the context of the analysis of scholarly output. In this study, we construct a corpus of 19,488 texts published since 1971 in seven leading journals in the field of bioethics and philosophy of medicine, and we use a machine learning algorithm to identify almost 100 topics representing distinct themes of interest in the field. On the basis of intertopic correlations, we (...) group the content‐based topics into eight clusters, thus providing a novel, fine‐grained intellectual map of bioethics and philosophy of medicine. Moreover, we conduct a number of diachronic analyses, examining how the “prominence” of different topics has changed across time. In this way, we are able to observe the distinct patterns in which bioethics and philosophy of medicine have evolved and changed their focus over the past half a century. (shrink)

The article presents a thought experiment aimed at indicating a possibility for thinking education beyond the logic of progress. In its first part, the argument reconstructs the entanglement of the modern idea of progress (as found in Francis Bacon and Comenius) and education, while tracking down the specific coupling of obedience and conquest at work. Through such an analysis a link between the ideas of progress and of emancipation is determined, which leads to the acknowledgement of the difficulty of the (...) task of imagining education outside of the logic of progress. In the second part an attempt is made to match this task by suggesting that when studying with a teacher, the logic of progress is deactivated. A phenomenological analysis of the practices involved in studying with a teacher points to a specific way of living together that such a collective study involves. This way of living together is formed by continual exercises in the humble equality realized through shared attention to something worthy of study: this stems from attentiveness to what exists, and it develops an attitude of care and respect for being as such. (shrink)

Rozprawa Doktora Piotra Domerackiego zatytułowana Horyzonty i perspektywy monoseologii. Filozoficzne studium samotności stanowi ciekawą i oryginalną propozycję intelektualną. Jako oczywiste plusy przedstawionego opracowania wskazać należy oryginalność tematyki, rozległość studiów oraz dojrzały charakter refleksji autora. Samotność stanowi temat ciągle aktualny i powracający, a jednocześnie zaskakujący złożonością i wielowymiarowością. Jest to przy tym temat, który prowokuje do pytań o naszą własną tożsamość, stanowi punkt wyjścia dla autoanalizy i pytania o relacje z innymi. Odpowiedzi na pytanie o mechanizm rozprzęgania się tych więzi i (...) konsekwencje tych procesów dla człowieka ukazują paradoksy i sprzeczności myślenia o tym zagadnieniu. […] W przedstawionym opracowaniu dr Piotr Domeracki podejmuje ogromny wysiłek przedstawienia całej tej złożoności i wewnętrznych napięć organizujących badania i refleksję nad samotnością. Realizując podjęte zadanie, Autor odnosi wiele sukcesów. Z recenzji wydawniczej dr hab. Heleny Ciążeli, prof. APS, Warszawa Wszelki system wiedzy o samotności, jeśli aspiruje do zupełności oraz jeśli ma być wiarygodny, miarodajny i funkcjonalny, powinien być komplementarny, to znaczy powinien umiejętnie łączyć minimalistyczną oraz maksymalistyczną (w sensie Walzerowskim) perspektywę oglądu i deskrypcji. Zasadniczą trudnością w precyzyjnym i kompleksowym opisie samotności jest jej wysoce ograniczona komunikowalność na poziomie doznaniowości. Samotność jest bowiem niezwykle oporna wobec możliwości empatycznego jej współprzeżywania. Z tego powodu jawi się ona jako agregat takich negatywnie percypowanych własności i określeń, jak monadyczność, solipsystyczność, apatyczność, autystyczność czy outsiderstwo. Zasadniczym celem niniejszej monografii – oprócz intencji wyłożenia i popularyzacji standardów wiedzy monoseologicznej – jest dążenie do przedstawienia jak najszerszego spektrum problemowego oraz siatki pojęciowej filozofii samotności. (shrink)

The epidemiological situation resulting from the SARS-CoV-2 pandemic caused the Polish universities to fully switch to distance education in March 2020. Medical e-learning has not yet been broadly implemented into the education process. Therefore, examples of successful e-learning implementations or the organization of the process of medical e-learning offer a valuable source of knowledge today, which is needed immediately. The article presents e-learning practices at the Polish medical universities during the SARS-CoV-2 epidemic during the period from March to September 2020, (...) covering seven universities in Poland that offer medical and health studies. The organization and implementation of e-learning classes is presented, including knowledge evaluation practices, providing example decisions issued by university rectors, on which the teaching process was based. A detailed presentation of the schools’ organizational units or workgroups that played an important role in the process of coordination of measures supporting e-education is also included. The article also presents a description of the software applications, utilities, and services used at the schools in the course of the process of online education. Below are some examples of specific such implementations in selected university courses. (shrink)

We present some equivalent conditions for a quasivariety \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {K}}$$\end{document} of structures to be generated by a single structure. The first such condition, called the embedding property was found by A.I. Mal′tsev in [6]. It says that if \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\bf A}, {\bf B} \in \mathcal {K}}$$\end{document} are nontrivial, then there exists \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\bf C} \in \mathcal{K}}$$\end{document} (...) such that A and B are embeddable into C. One of our equivalent conditions states that the set of quasi-identities valid in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{K}}$$\end{document} is closed under a certain Gentzen type rule which is due to J. Łoś and R. Suszko [5]. (shrink)

W artykule przedstawione zostaną różne sformułowania argumentu z pragnień, wysuniętego przeciwko naturalizmowi, autorstwa Clive’a S. Lewisa. Analizie zostaną poddane zarzuty o brak logicznej poprawności jego wywodu oraz dotyczące zwodniczego charakteru czynników irracjonalnych, do jakich zaliczają się uczucia i pragnienia. Wykazane zostanie, że sformułowania, w których mamy do czynienia z brakiem konkluzywności antynaturalistycznego wniosku Lewisa, można jednak traktować jako poznawczo wartościowe, gdyż są one oparte na indukcyjnym schemacie wnioskowania. Istnieją natomiast sformułowania, które jedynie wielkim kosztem, jakim jest uznanie Wszechświata za absurdalny, (...) można uznać za niekonkluzywne. Podejrzenie, iż odwołanie do czynników irracjonalnych osłabia argumentację Lewisa, okazuje się błędne. -------------- Zgłoszono: 22/07/2020. Zrecenzowano: 30/08/2020. Zaakceptowano do publikacji: 19/09/2020. (shrink)

Blumenthal-Barby and her colleagues (2022) situate their discussion of philosophy and bioethics in the context of (reportedly) widely held assumption that, when compared to the early days of bioethics, the role of philosophy is now diminished across the field – the assumption we call the Disconnection Thesis. This assumption can be summarized, to use the authors’ own words, by the phrase “philosophy’s glory days in bioethics are over“. While in no place of the article they explicitly endorse the Disconnection Thesis, (...) at least some of the authors had previously endorsed it in print (Savulescu 2015). Such expressions of collective expert wisdom might be a valuable source of information on the discipline's history, but they should not be accepted uncritically. Given the explosion in the size and scope of bioethical research in recent decades, any scholar’s familiarity with the area is necessarily based on selective reading and might be biased. Hence, in this commentary, we examine what kind of more rigorous evidence could corroborate the Disconnection Thesis. In other words, if the role of philosophy in bioethics has been indeed diminishing, what kind of observable patterns should we expect to see? Drawing on our previous research (Bystranowski, Dranseika, Żuradzki 2022), here we focus on two useful perspectives: citation analysis and topic modeling. While the first approach allows us to indirectly measure the level of engagement of bioethicists with philosophical literature (by measuring the proportion of references from articles published in journals in bioethics that cite philosophy journals), the latter provides a window into the content and argumentative style of bioethical texts. (shrink)

What is the class of possible semiotic systems? What kinds of systems could count as such systems? The human mind is naturally considered the prototypical semiotic system. During years of research in semiotics the class has been broadened to include i.e. living systems like animals, or even plants. It is suggested in the literature on artificial intelligence that artificial agents are typical examples of symbol-processing entities. It also seems that semiotic processes are in fact cognitive processes. In consequence, it is (...) natural to ask the question about the relation between semiotic studies and research on artificial cognitive systems within cognitive science. Consequently, my main question concerns the problem of inclusion or exclusion from the semiotic spectrum at least some artificial systems. I would like to consider some arguments against the possibility of artificial semiotic systems and I will try to repeal them. Then I will present an existing natural-language using agent of the SNePS system and interpret it in terms of Peircean theory of signs. I would like also to show that some properties of semiotic systems in Peircean sense could be also found in a discussed artificial system. Finally, I will have some remarks on the status of semiotics in general. (shrink)

This paper analyzes selected issues related to the philosophy of the Krakow physicist Andrzej Fuliński. Since the 1970s, Fuliński has been strongly associated with the interdisciplinary milieu gathered around Heller and Życiński. His activity can therefore be considered within the context of the broader phenomenon known as the Krakow School of Philosophy in Science, which was founded by Heller and Życiński. This paper proposes the thesis that Fuliński’s style of philosophy is connected with the concept of philosophy in science and (...) tries to justify the thesis that Fuliński, due to his cooperation with the interdisciplinary milieu in Krakow and the specificity of his philosophical works, deserves to be regarded as a representative of the Krakow School of Philosophy in Science. (shrink)

L’article aborde la problématique des actes normatifs de droit pénal adoptés en Pologne dans les années 1944–1956. L’auteur essaie de répondre à la question : comment le régime politique et l’idéologie stalinienne ont-ils influencé la manière de rédiger les textes juridiques de cette branche du droit lors des plus grandes répressions par le pouvoir d’après-guerre en Pologne? À partir de 1944, le droit pénal a été adapté aux besoins des autorités communistes, contrôlées par l’Union soviétique. Dans la période analysée, on (...) a introduit en Pologne plus de cent actes normatifs englobant des dispositions pénales. L’idéologisation du droit pénal est visible dans toutes les parties des actes normatifs : titres, préambules et dispositions juridiques. On retrouve dans leur contenu les valeurs politiques, économiques et sociales fondamentales pour l’idéologie du stalinisme, dont les thèses ont été mises en œuvre en Pologne après la fin de l’occupation allemande. (shrink)

Recent literature in experimental philosophy has postulated the existence of the abstract/concrete paradox : the tendency to activate inconsistent intuitions depending on whether a problem to be analyzed is framed in abstract terms or is described as a concrete case. One recent study supports the thesis that this effect influences judicial decision-making, including decision-making by professional judges, in areas such as interpretation of constitutional principles and application of clear-cut rules. Here, following the existing literature in legal theory, we argue that (...) the susceptibility to such an effect might depend on whether decision-makers operate in a legal system characterized by the formalist or particularist approach to legal interpretation, with formalist systems being less susceptible to the effect. To test this hypothesis, we compare the results of experimental studies on ACP run on samples from two countries differing in legal culture: Poland and Brazil. The lack of significant differences between those results suggests that ACP is a robust effect in the legal context. (shrink)

We carried out a systematic review of psycholinguistic, empirical, quantitative studies on verbal irony use and individual differences (i.e. psychological, not demographic, traits that significantly differentiate individuals). Out of 5,967 publications screened, 29, comprising 35 studies in total, were included. Following a qualitative content analysis, six thematic clusters were identified, representing areas of research in individual differences in irony use: (a) psychological well-being, (b) personality traits, (c) humor-related traits, (d) cultural factors, (e) social skills, and (f) cognitive factors. The results (...) of the studies in each cluster are summarized and conclusions for further research are presented. In particular, the systematic review suggests that irony and sarcasm should be clearly delineated as separate, yet related phenomena due to differing patterns of correlations with specific individual differences. Additionally, significant methodological heterogeneity between the studies suggests the need for greater standardization of irony use measures. (shrink)

Research background: To a limited extent, modern researchers are interested in ordoliberalism, as a theory of the socio-economic system, which is confirmed by the results of the bibliometric analysis. In conducted studies, the assumptions of ordoliberalism are used partially, for example, for research on: the role of the state in the economy, the antitrust law, the theoretical assumptions of the SME, the determinants of German economic policy after World War II. Purpose of the article: The aim of this article is (...) to present the possibilities offered by the ordoliberal theory that predispose it to determine a socio-economic order which makes it possible to tackle the dysfunctions and crises that afflict today’s economy. Methods: The research methodology involves a critical analysis of the works of the most essential representatives of ordoliberal thought, particularly Walter Eucken and others, from the perspective of the above-mentioned purpose of the study. This requires examining German-, Polish- and English-language publications by authors recognised as representatives of mainstream ordoliberalism. Findings & Value added: As a result of the conducted analysis, the hypothesis about the existence of the elements of ordoliberal theory that allow it to respond to the challenges of the modern world, including economic, social, environmental and climate crises and pandemic threats has been confirmed. Research of this kind implies a return of thinking in terms of economic order, and thus contributes to the theories that seek to overcome the crisis in both the real economy and the theory of economics. (shrink)

An operation on inferential rules, called H-operation, is used to minimize the axiom basis for classical logic.

Individuation -- Will -- Continuity -- Freedom.

According to the mainstream position in the bioethical definition of death debate, death is to be equated with the cessation of an organism. Given such a perspective, some bioethicists uphold the position that brain-dead patients are dead, while others claim that they are alive. Regardless of the specific opinion on the status of brain-dead patients, the mere bioethical concept of death, according to many bioethicists, has the merit of being unanimous and univocal, as well as grounded in biology. In the (...) present article, we challenge such a thesis. We provide evidence that theoretical biology operates with a plurality of equally valid organismic concepts, which imply different conclusions regarding the organismal status of a brain-dead patient. Moreover, the theoretical biology concepts of an organism are very distant from the view on an organism that appears by way of bioethicists theorizing on death. We conclude that if death is to be understood as the cessation of an organism, there is no single correct answer to the question of whether a brain-dead patient is alive or dead. (shrink)

What determines whether the procedures for proving the affirmative statement of God's existence may be called a proof? Certainly, it is necessary that all premises be true and that a reliable inference schemata be applied. One premise appears to be the most critical in the theistic argument. This premise is the principle of sufficient reason. I hold the view that the principle of sufficient reason cannot be found among the premises of any metaphysical explanation of reality, so I suggest that (...) the terms “proof” and “argument” not be used. Instead, we could speak of ways of acquiring discursive knowledge of God and ways of indirect substantiation of God's existence. (shrink)

Z wielu kwestii, które Jacek Wojtysiak podjął w swojej nowej książce Między ukryciem a jawnością (2023), na szczególną uwagę zasługuje polemika z Johnem L. Schellenbergiem, dotycząca problemu Bożej ukrytości. J.L. Schellenberg w pomysłowy sposób chce pokazać, że samo istnienie ateistów wystawia na próbę prawdziwość tezy o istnieniu osobowego Boga. W odpowiedzi Wojtysiak odwraca argument J.L. Schellenberga, twierdząc, że powszechność wiary wystawia na próbę przekonanie ateisty. Celem artykułu jest wykazanie, że tak jak właściwym wnioskiem argumentu J.L. Schellenberga nie jest teza ateistyczna, (...) tak samo argument J. Wojtysiaka tak naprawdę nie broni teizmu. O obu argumentach należałoby raczej powiedzieć, że są to rozumowania, które wspierają ultymizm. Artykuł składa się z trzech części. W pierwszej przedstawiam argument J.L. Schellenberga z „Bożej ukrytości” oraz rekonstruuję argumentację J. Wojtysiaka z „wielkiego faktu wiary”. W drugiej części próbuję pokazać, że istnienie niemoralnych wierzących podważa tezę o powszechności wiary w teistycznego Boga. W trzeciej części przedstawiam oba argumenty jako wspierające tezę ultymizmu. (shrink)

Zasadnicza teza tekstu brzmi, że możliwość totalnego chaosu empirycznego, która jest rozpatrywana w ramach eksperymentu unicestwienia świata, nie jest możliwością realną, lecz możliwością logiczną. Według Husserla hipoteza totalnego chaosu empirycznego pozostaje w związku z zasadniczą nieadekwatnością doświadczenia świata, która nie wyklucza możliwości nieistnienia świata. Unicestwienie świata jako efekt całkowitego załamania się doświadczenia świata mogę jednak przyjąć tylko hipotetycznie i taka fikcyjna możliwość nie ma charakteru możliwości realnej, ponieważ absolutny fakt mojego doświadczenia poprzedza wszelkie możliwości, nadając im dopiero znaczenie możliwości realnych. (...) Doświadczenie w swej pierwotnej strukturze obejmuje zarówno doświadczenie świata, jak i doświadczenie ego cogito i jest jednym, absolutnym doświadczeniem, tak że możliwość globalnego chaosu empirycznego okazuje się jedynie pustym eksperymentem myślowym i jako taka możliwość ta pozostaje w zasadniczej analogii do możliwości niepoznawalnych rzeczy samych w sobie. Słowa kluczowe: fenomenologia transcendentalna, eksperyment unicestwienia świata, doświadczenie świata, doświadczenie ego cogito, realna możliwość, logiczna możliwość. (shrink)

The UN’s most recent SDG progress report notes that prior to the COVID-19 pandemic, cities had “rising numbers of slum dwellers, worsening air pollution, minimal open public spaces and limited convenient access to public transport.” In recent years, the number of slum dwellers globally has been growing, and exceeded 1 billion in 2018. As of 2019, only around 50 per cent of the urban population had convenient access to public transport. Furthermore, the proportion of urban areas allocated to streets and (...) open public spaces averaged 16 per cent in 2020, below the UN recommendation of 30 per cent for streets and an additional 10 to 15 per cent for open public spaces. The pandemic has only exacerbated these conditions for many urban dwellers, further reducing the likelihood of this goal being reached by 2030. With nearly two thirds of the world’s population expected to be living in urban areas by 2050, significant efforts are needed to ensure national urban policies are successfully implemented so that urban dwellers can enjoy safe, inclusive and sustainable environments. * This Research Topic will address the eleventh Sustainable Development Goal from a sociological perspective. Researchers, among other themes, will investigate urban inclusion, the impact of urban policies on social differences, and gentrification. Given the significant impact of the lack of decent work and economic growth on urban living, this year’s edition of the Research Topic will focus particularly on the challenges and complexities of sustainable urban planning and development in the context of decent work and economic growth and the associated crisis. (shrink)

The collection presents a variety of promising new directions in Royce scholarship from an international group of scholars, including historical reinterpretations, explorations of Royce's ethics of loyalty and religious philosophy, and contemporary applications of his ideas in psychology, the problem of reference, neo-pragmatism, and literary aesthetics.

W Deklaracji o przerywaniu ciąży z 1974, Kościół Katolicki argumentuje, że zygota jest człowiekiem ponieważ posiada ludzki genotyp. Artykuł przedstawia logiczną analizę tej argumentacji. Pokazuje, że argumentacja ta jest w dużym stopniu wadliwa. Tomizm pełni tu funkcję uprawo-mocnienia. Entymematyczne założenia tomistyczne są niezbędne, by w ogóle możliwe było przejście od przesłanek do wniosku. Okazuje się ponadto, że argumentacja ta zakłada tomistyczną interpretację pojęć biologicznych, która jest niezgodna ze współczesną wiedzą biologiczną. Twierdzenie zawarte w Deklaracji nie zostało więc skutecznie uargumentowane na (...) gruncie biologii, a wręcz wydaje się, że biologia je wyklucza. Jest ono możliwe jedynie jako twierdzenie metafizyczne i wyłącznie na gruncie pewnych metafizyk. (shrink)

This paper presents a dual intention model (DIM) of demonstrations as actions to show the agentive nature of demonstrations. According to the DIM, demonstrations are complex actions that contain as components at least three elements: an abductive intention, a deictic intention, and a basic ostensive act of indication. This paper unpacks these three components and discusses their roles from the viewpoint of the philosophy of action and the philosophy of language. It also shows how the DIM applies in selected practical (...) examples and explains the merits of the model in the context of other views on demonstrations and demonstratives. (shrink)

The paper examines the Tattvôpaplava-siṁha of Jayarāśi Bhaṭṭa, and presents an analysis of his positive arguments that can be traced in the work. Despite the widely held opinion that Jayarāśi was a sceptic or held no positive opinions, the author concludes that, first, Jayarāśi does not fit a standard description of a sceptic. What may appear as an approach to philosophical problems, typical of a sceptic, turns out to be Jayarāśi’s particular method of critical examination on the part of a (...) rationalist. Second, a number of positive views Jayarāśi entertains can be identified in his work, and most of them overlap with much of the doctrine of the Cārvākas and Lokāyatas and materialist tradition recorded as early as the Sāmañña-phala-sutta. Therefore, Jayarāśi should be classified as a representative of the Cārvāka/Lokāyata tradition. (shrink)

The scientific papers published in a special edition of the journal “Scientia et Fides” are the result of an international scientific project titled “The Dynamic Theodicy Model: Understanding God, Evil, and Evolution.” The project leaders are Prof. Piotr Roszak (Nicolaus Copernicus University) and Prof. Saša Horvat (University of Rijeka), under the auspices of the University of Oxford and the John Templeton Foundation. Other members of the project team include Grzegorz Karwasz, Michał Oleksowicz, Tomasz Huzarek, and Jan Wółkowski.

The paper explores possible influences that recent developments in the field of a branch of AI called Automated Discovery Systems might have upon some aspects of the old debate between Francis Bacon’s inductivism and Karl Popper’s falsificationism. Francis Bacon advocates mechanical induction as the legitimate, infallible method of science, and Karl Popper proposes his famous falsificationist view, according to which science proceeds by subsequent conjectures and refutations, and the question about where scientific hypotheses come from neither needs, nor is capable (...) of, logical analysis. The traditional method of discussing such methodological debates relies on the analysis of various historical examples of discoveries in order to see how well the two models of scientific method account for them. (shrink)

The uniqueness of Edith Stein’s approach to lived experience emerges only in light of intentionality as reasonableness. The “personal touch” or authentic affectivity means in this context one’s own “living body” in regard to a threefold dimension of the human experiencing: the personal, the humanistic, and the spiritual, and seems to echo those of Immanuel Kant’s, i.e., the soul, the world and God. Consequently, not whatever kind of own’s commitment is at stake. Moreover, no less important is the role of (...) community and its various types. For sure, Stein’s genuine account is found in dialogue with the phenomenologists of her time. It paves the way toward a community of life and life itself. Therefore, it seems to be possible to some extend to accord Stein’s account with contemporary discussions of the meaning of life and “a fundamental transformation of human existence.”. (shrink)

The article reviews the book Życie a orientacja w rzeczywistości przyrodniczej [Life and Orientation in Natural Reality], by Jolanta Koszteyn.

Simplicity was recently described in the philosophy of science as “perhaps the most controversial theoretical virtue” (Schindler 2018). It has been also argued that contrary to the standard view, simplicity is not merely a pragmatic virtue but also an epistemic one. Virtue epistemologists are also interested in epistemic virtues, but simplicity is usually absent in their discussions. This paper adduces several contemporary approaches to simplicity showing that in philosophy and in psychology it can be considered either as a virtue or (...) as a vice. The paper then refers to the thought of Thomas Aquinas as an example of a premodern understanding of the virtue simplicity and suggests that his notion of simplicity as a virtue might be developed today within virtue epistemology into an interesting complement to this “perhaps the most controversial theoretical virtue” (Schindler 2018) known from contemporary philosophy. (shrink)

Abraham Robinson’s framework for modern infinitesimals was developed half a century ago. It enables a re-evaluation of the procedures of the pioneers of mathematical analysis. Their procedures have been often viewed through the lens of the success of the Weierstrassian foundations. We propose a view without passing through the lens, by means of proxies for such procedures in the modern theory of infinitesimals. The real accomplishments of calculus and analysis had been based primarily on the elaboration of novel techniques for (...) solving problems rather than a quest for ultimate foundations. It may be hopeless to interpret historical foundations in terms of a punctiform continuum, but arguably it is possible to interpret historical techniques and procedures in terms of modern ones. Our proposed formalisations do not mean that Fermat, Gregory, Leibniz, Euler, and Cauchy were pre-Robinsonians, but rather indicate that Robinson’s framework is more helpful in understanding their procedures than a Weierstrassian framework. (shrink)