Philosophy of Science

Abstract Drawing on Daniel Dennett’s intentional stance, Christian List advances a pragmatist framework according to which any system—human or artificial—that satisfies three macro-level conditions—intentional agency, alternative possibilities, and causal control—may be ascribed free will, even in the absence of phenomenal consciousness. Employing conceptual analysis and engaging with prominent critiques in the philosophical literature—including Robert Kane’s account of the origination problem, Nancey Murphy and Warren Brown’s critiques of downward causation and emergence, and empirical findings by Eddy Nahmias on the role of P. F. Strawson’s reactive attitudes in free will ascription—this paper argues that List’s framework suffers from a structural ambiguity in distinguishing between “functional autonomy” and “responsibility-grounding free will.” Reducing free will to mere “explanatory sufficiency” not only results in conceptual inflation but also opens the door to “algorithmic responsibility evasion,” whereby developers and institutions may deflect accountability by appealing to the system’s agency. In response, the paper proposes a three-level framework that distinguishes functional autonomy (Level 1), robust free will (Level 2), and moral responsibility (Level 3), and introduces a threshold condition for robust free will: the capacity to revise one’s ultimate ends in light of evaluative commitments. This condition presupposes phenomenal consciousness and P. F. Strawson-style reactive attitudes, thereby clarifying why no contemporary artificial system—even the most advanced language models—possesses robust free will. By resolving the ambiguity in List’s account, the proposed distinction carries important normative implications for AI ethics, legal responsibility, and technology policy.

Abstract The study of the certainty and inexorability of mathematical theorems is one of the important topics in the philosophy of mathematics. Various schools such as logicism, intuitionism, Platonism and naturalism have tried to present theories on this subject. These schools usually seek the foundation for mathematics in order to justify the certainty of mathematical theorems and logic. This has always been accompanied by numerous failures. In this article, we try to examine this issue from Wittgenstein's point of view. That is, instead of asking "What is the foundation of logic and mathematics?" we ask "Why does mathematics need the foundation?". Therefore, we first examine foundationalism. Then we show that mathematics is a language-game. In this regard, we examine geometry and logic as two language-games in mathematics. Finally, we show that, according to Wittgenstein's philosophy, the certainty and inexorability of a valid inference or a correct calculation comes from the practical procedure of inference and calculation. Keywords Wittgenstein, practice, philosophy of mathematics, language-game, foundationalism Extended Abstract 1. Introduction The question “Where does the certainty of logical and mathematical propositions come from?” has been the central preoccupation of the philosophy of mathematics. Logicism (Frege, Russell) sought to reduce mathematics to logic, thereby grounding its certainty in the apparent indubitability of logical truths. Intuitionism (Brouwer) located the foundation in basic mental constructions, arguing that mathematical objects are products of intuitive temporal processes. Platonism posits a mind‑independent realm of abstract entities, making mathematical truth a matter of discovery rather than invention. Naturalism treats mathematics as continuous with empirical science, justifying its claims through their overall role in successful theories. Despite their differences, these schools share a foundationalist assumption: that the certainty of mathematics must be justified by appealing to a privileged class of basic, self‑evident beliefs or entities. However, as we show, each programme faces insurmountable difficulties—regress problems, circularity, or the inability to account for the actual practices of mathematicians. This paper, therefore, proposes a radical shift: instead of seeking a foundation, we investigate why mathematics is thought to need one. Drawing on Wittgenstein’s later philosophy, we argue that the search for a foundation is itself a grammatical misunderstanding. Mathematics, like any language‑game, is not a structure built upon a base; it is an activity embedded in our form of life. Its certainty is not derived from something external but is exhibited in the way we use its rules. Our aim is to articulate this practice‑based view and to show how it resolves the puzzle of mathematical necessity without metaphysical commitments. 2. Materials and Methods This study is a philosophical analysis, not an empirical experiment. Our method consists of a critical reinterpretation of Wittgenstein’s later works, primarily Philosophical Investigations, Remarks on the Foundations of Mathematics, and On Certainty, combined with a historical and comparative examination of foundationalist projects. We adopt the following conceptual tools: · Language‑game: we treat mathematics as a multiplicity of language‑games, each with its own vocabulary and rules. A language‑game is a rule‑governed activity that is learned and practiced in a community. · Rule‑following: we analyse the notion that obeying a rule is a practice. A rule cannot be a private mental object; it is publicly taught, learned, and applied in repeated situations. · Grammar: we distinguish between empirical propositions (which can be true or false) and grammatical rules (which determine what counts as a meaningful statement and what counts as a valid inference). Questions about the truth of rules are category mistakes. To illustrate our method, we examine two case studies: 1. Geometry as a language‑game: we reconstruct Hilbert’s axiomatic method as a paradigmatic example. Hilbert’s primitive terms (point, line, plane) receive their meaning solely through the axioms, which function as rules for manipulating symbols. By changing a single axiom (the parallel postulate), we obtain new, consistent language‑games (Euclidean vs. hyperbolic geometry). This shows that geometry is not about a pre‑existing spatial reality but about a formal system whose “truth” is replaced by consistency and usability. 2. Logic as a language‑game: we analyse propositional logic, with its vocabulary (sentence letters, connectives) and rules (modus ponens, double negation, non‑contradiction). We argue that logical rules are not discovered a priori but are constitutive of what we call “reasoning”. They are part of the normative framework of our inferential practices. Additionally, we employ comparative anthropological data (Lévy‑Bruhl on the Ipon tribe; counting practices in the Torres Strait) to demonstrate that alternative inferential and computational practices exist, which suggests that our logical and mathematical rules are contingent upon our social forms of life rather than being universally necessary. 3. Discussion and Results Our analysis reveals that foundationalism fails because it mistakes the grammatical status of rules for the propositional status of factual claims. When we ask for the justification of modus ponens or of the principle of non‑contradiction, we are trying to measure our measuring rod. The certainty of these rules is not a property of their correspondence with reality; it is a reflection of their role as standards of correctness within the practice of inference. Wittgenstein explicitly states: “Inference is part of a language‑game. And the person who makes logical inferences follows certain instructions that have been given to him in learning the language‑game” (RFM, p. 378). Thus, the “hardness” of logic is not a metaphysical necessity but a pragmatic one: we call something “valid inference” only if it conforms to these rules. This is analogous to using a metre stick: we cannot question the correctness of the metre stick itself in the same way we question the length of a table, because the metre stick is the standard by which correctness is determined. The two case studies support this conclusion. In geometry, the shift from Euclidean to non‑Euclidean systems shows that no axiom is intrinsically certain; its role is determined by the game we choose to play. The consistency of the system is all that matters for internal validity. In logic, the law of non‑contradiction is not a high‑level empirical generalisation; it is a rule that tells us when to stop playing—it signals that a contradiction has arisen and we cannot continue with the same moves. As Wittgenstein notes, “Contradiction can only occur among the rules of a game” (Notebooks, p. 321). Its force is not ontological but procedural. Our anthropological examples further illustrate that alternative practices are entirely coherent within their own contexts. The Ipon tribe do not infer death from a wound in the way we do; they invoke sorcery. This does not mean they are irrational; they are following a different set of rules for explanation. The Torres Strait counting method is not an inferior version of our arithmetic; it is a different practical technique for enumeration. These examples underscore that what we call “necessary” is only necessary relative to the practices we have adopted. There is no trans‑cultural, trans‑historical foundation for arithmetic or logic; there is only the practical skill and shared training that enable us to count and infer in the ways we do. Consequently, the certainty of a valid inference or a correct calculation derives from our trust in the practice—our confidence, built through repeated successful applications, that following the rules will lead to a determinate outcome. This is not a blind faith but a trained ability. As Wittgenstein puts it: “I examine the proof and then accept its result. That is simply what we do. This is a custom and a practice among us, or a fact of our natural history” (RFM, p. 61). The “inexorability” of mathematics is therefore not a property of the propositions themselves but of our commitment to the practice. 4. Conclusion We conclude that the traditional foundationalist project for mathematics is misconceived. The later Wittgenstein offers a viable alternative: mathematics is a language‑game, and its rules are not in need of external justification because they are constitutive of the activity of reasoning and calculating. The certainty and inexorability that we attribute to mathematical and logical propositions arise from the grammatical role these rules play within the practical procedure (practice) of inference and computation. This certainty is a form of practical trust and skill, not a reflection of metaphysical necessity. Our analysis shows: 1. The demand for a foundation stems from a grammatical error: confusing a rule with a proposition that can be true or false. 2. Hilbert’s axiomatic geometry and classical logic are best understood as language‑games with their own internal standards of correctness; these standards are arbitrary in the sense that they could be different, but they are not arbitrary in the sense that they are freely chosen by individuals—they are embedded in our shared forms of life. 3. The “hardness” of logic and mathematics is the hardness of the practice itself; it is the result of our training and the social consensus that sustains the practice. 4. We do not need a foundation to justify mathematics; we need a clarification of its grammar. The task of philosophy is not to reform or justify mathematics but to describe what mathematicians actually do and how their practices hang together. In sum, the paper provides a robust Wittgensteinian response to the problem of mathematical certainty, showing that the practice‑based approach dissolves the classical foundationalist anxieties without reducing mathematics to mere convention. It invites philosophers and mathematicians to abandon the search for an indubitable ground and instead to appreciate the rich, dynamic, and socially embedded character of mathematical activity.

Abstract About two decades ago, “The Gap of Responsibility” as a problem was firstly introduced by Matthias for referring to an ethical challenge of AI. Due to their ability to learn, AI technologies are able to function beyond the control and anticipation of designers and users. Matthias argues that in this case, the necessary and sufficient conditions of responsibility wouldn’t be satisfied neither for designers, nor for users. And that is the gap of responsibility. The problem of responsibility gap has invited many researchers to explore for solutions. There is significant divergence among current accounts of responsibility gap, which mainly results from their basic theoretical assumptions. In this paper, we categorize the responses to three approaches: dissolving the problem, filling the gap by attributing responsibility to AI, and filling the gap by attributing responsibility to human agents. By analyzing the social and practical aspects of the concept of responsibility, we defend a compound, contextual, and gradual notion of responsibility. On this basis, we claim that two first approaches are not successful, due to being grounded on the poor concepts of responsibility. Hence, the third approach is more plausible. Moreover, since in the familiar cases of responsibility gap we fill the gap through revising social roles, in the case of AI-based responsibility gap we can follow the similar solution too, as suggested in some works of the third approach. Finally, we discuss some of remained challenges for the third approach.

Abstract A social subject, such as the university, is involved in a wide range of issues, and social research on the university is conducted to address them. In the studies, multiple methods are used, each of which is only able to examine the university from a specific aspect, and with an emphasis on specific concepts. Government sponsors and industrial investors, who are only interested in some of the functions of the university, also support only the research they are interested in, and therefore lead to the more “valuable”, more prominent, and more strengthened concepts that are important to those investors and sponsors outside the university. The result of such a process is the destruction of internal norms of the university, and, as a result, leads to scientific and financial misconduct. For decades, critical theory scholars have been concerned with this issue, namely the importance of considering the totality of a social issue, and not just addressing a specific aspect of it. The present article, by describing the methodology of critical theory, and by presenting a discussion of Iranian university-related researches, claims that Iranian traditional (positivistic) researches, by highlighting some interests of specific groups, and eliminating public considerations, such as ideas related to the ethics of science, may lead to the weakening of the functioning, or even the collapse, of the institution of science and the university. Keywords: Critical theory, Frankfurt School, University, University studies, Ethics of science, Research ethics, Scientific misconduct Introduction The developments that have been made in the subjects of Iranian universities with traditional methods have created ethical issues for them. Currently, certain concepts and divisions guide the research related to Iranian universities. Among these concepts, we can mention “scientific authority”, “international ranking”, “regional competition”, “entrepreneur university”, “commercialization of science”, “e-learning”, “Islamization of the humanities”, and other titles that are constantly repeated by Iranian policymakers and are frequently recalled as “national values”. These conceptual divisions will be comparable to the reified concepts intended by critical theorists. These divisions (i.e., theory) are conceptual matters and will form an immanent part of the social reality (i.e., the university). Two points justify the need for critical theory in the use of these concepts: First, the divisions (i.e., the theory) arise from the social contradictions existing in society. In Iran, in the case of the university, the emphasis is more on indicators that do not indicate the integrity of the university, but rather the productivity of the university for the market, industry, or government or religious institutions. Second, these conceptual (or illusory) divisions will prevent the real perception of the totality of the university. Continuous support for specific concepts and divisions, namely entrepreneurship, commercialization, or the quantity of publications, leads to the formation of more connections, receiving more money, and more publications. However, the supporters demand further promotion of these concepts and give more credibility in return, and an academic individual, because she is only one person and her abilities are limited, will have limitations on having more connections, more contracts, and more publications. In this situation, reified concepts lead the university to mechanisms that eliminate the restrictions. For example, to remove restrictions on more communication, more research projects, and more publication of articles, they hire assistants or students or graduates who may not yet have academic jobs and, in other words, do not have the "means of production" and, with lower wages, they help to increase the value ​​of formal researchers and the volume of their scientific activities. Such a practice leads to the destruction of ethical practices in the university. Materials & Methods The method of the research is conceptual analysis as well as documentary analysis. Discussion & Result This article argues that a critical approach, unlike traditional approaches (i.e. interpretive or positivist approaches), can improve unethical conditions. If the university were autonomous, then there would be conditions for reflecting its concepts. Only the university can understand or reorganize the university, and in the process of self-reflecting, in one sense, the university, as a self, researches on a subject like the university, or, in another sense, the researchers and the research system and their theories and concepts can be considered part of a larger whole, like society or the university “system”.By initially pursuing reified concepts, it is possible to gradually build a university with the characteristics policymakers desire, namely an entrepreneurial, commercialized, industry-related, and globally ranked university. Prioritizing these concepts will sacrifice the integrity of the university, including its internal ethical norms, to the demands of university supporters. And so, in exchange for achieving these goals, scientific misconduct, which was not considered in the policymakers' list of concepts, has spread in the scientific community, and "scientists" have emerged whose scientific activities may be mostly carried out by students and assistants who have fewer means of production. Now, if the university is autonomous, during the process of reflecting, the autonomous university (i.e., researchers) will assume the existing totality to be fixed and will reinterpret itself and the concepts in terms of what will be constructed. The autonomous university (i.e., researchers) will see itself as part of the advanced, entrepreneurial, and highly ranked system of “science production” in which ethical norms are no longer valued. Here, the old University’s approach, based on scientific norms, conflicts with the current approach, and the resulting understanding is incompatible with the university’s own accreditation system. And again, if the university is autonomous, then the university (i.e., the researchers) becomes aware of this contradiction and, in the sense described above, a kind of "alienation" and, as a result, a kind of self-awareness is achieved. At this stage, there will also be the expectation that the internal movement to resolve this kind of contradiction will continue with a change in the researcher's previous approach, then with renewed research, and finally with the formation of a newer whole (say, a university with newer features). This is a cycle that can continue until a certain liberation from illusory concepts is achieved. Conclusion In this article, by presenting a reading from the methodological perspective of critical theory, an attempt was made to show how university-related research in Iran prevents the maintenance of ethical norms and, as a result, weakens or collapses the institution of science and the university.

Abstract In science and technology studies, the agency of technology has largely been confined to its role in rearranging social relations and human–nonhuman networks, while its influence on the selection and transformation of theoretical frameworks has received far less attention. Through a case study of blockchain studies as an emerging technology, and by introducing the concept of the “theory–technology dialectic,” this paper demonstrates that technology can play a role in shaping, modifying, and displacing the theories researchers employ. The arguments of this paper show that no single theoretical framework is capable of explaining all dimensions of emerging technologies such as blockchain, and researchers are compelled to draw simultaneously on diverse theories. This situation reflects a kind of “theoretical flexibility” when confronting complex technologies. Ultimately, the paper proposes “theoretical assemblage” as a methodological strategy for studying emerging technologies and points to its Methodological implications for the field of technology studies. Keywords: Blockchain, Science and Technology Studies, Technological agency, Theoretical flexibility, Theoretical assemblage Introduction This study addresses a neglected question in Science and Technology Studies (STS): can emerging technologies shape not only social relations but also the theoretical frameworks through which they are studied? While contemporary STS approaches have emphasized the agency of technology in transforming sociotechnical networks, they have paid comparatively little attention to technology’s influence on the selection, modification, and evolution of research theories themselves. When encountering an emerging technology, a key question is how a researcher should approach the study of this technology—specifically, what theoretical framework or theory they should use. Broadly speaking the application of theory in studies of technology can initially take three forms: - The researcher attempts to explain all aspects of the technology under study using a single theory (single explanation). - The researcher uses one theory to explain some aspects of the technology (partial explanation). - The researcher employs multiple theories to explain most aspects of the technology (plural/multiple explanation). We argue that behind these three initial modes—each with its own difficulties—there exists a dialectic between theory and technology. Part of the reason that single explanation leads to tension, or that researchers are driven toward partial or multiple explanation, is that technology itself, alongside other factors, acts as an agent that moderates and reshapes theory. We argue—through a case study of blockchain studies—how scholars of technology (sometimes without a philosophical orientation toward technology) have, over several years, been actively or inadvertently engaged in this theory–technology dialectic. We will show that this dialectic results in what we call theoretical flexibility in the study of technology. The methodological outcome of this flexibility is what we term theoretical assemblage. We will defend theoretical assemblage as an alternative “fourth” mode to the three cases described above. In the conclusion, we will also attempt to address certain policy implications of theoretical montage for studies of technology. Materials & Methods This study combines philosophical and empirical methodological approaches. On the one hand, through philosophical argumentation, it seeks to show the various ways researchers theoretically engage with technology and to defend the claim that the three conventional modes lead—through the theory–technology dialectic—to theoretical tension. On the other hand, to lend an empirical dimension to this philosophical analysis, the article turns to blockchain research to examine how scholars have engaged with this emerging technology from a theoretical perspective. Accordingly, what follows is an empirical component that examines the correspondence between theoretical frameworks and modes of explanation in the blockchain literature. The study adopts a conceptual and qualitative research design based on a systematic review of blockchain literature. Twenty-four peer-reviewed studies explicitly employing established theoretical frameworks were selected and analyzed. Rather than evaluating blockchain applications themselves, the review focused on identifying the theories adopted by researchers, the analytical roles these theories played, and the explanatory dimensions they emphasized. Discussion & Result The systematic review demonstrates substantial theoretical diversity within blockchain research. Actor-Network Theory appeared most frequently, followed by Agency Theory and Transaction Cost Theory, while Institutional Theory, Resource-Based View, Trust Theory, and several complementary perspectives were employed less frequently. More importantly, the analysis revealed that each theory explains only a particular dimension of blockchain. The comparison illustrates that none of these theories alone adequately captures blockchain’s technical, organizational, institutional, economic, and social complexity. Rather than reflecting merely different disciplinary preferences, this plurality indicates that blockchain itself resists being fully interpreted within a single theoretical framework. As researchers encounter aspects of blockchain that fall outside the explanatory capacity of their initial theories, they experience conceptual tensions that encourage theoretical revision or movement toward alternative perspectives. This phenomenon constitutes what the article defines as the theory–technology dialectic. Evidence for this dialectic extends beyond theory selection to theory development itself. The article highlights the emergence of Blockchain Agency Theory, which revises the classical assumptions of Agency Theory by incorporating blockchain-specific characteristics such as information symmetry, goal alignment, smart contracts, and decentralized governance. This example demonstrates that emerging technologies may stimulate the reconstruction of theoretical assumptions rather than simply serving as objects to which existing theories are applied.Building on these findings, the article evaluates four methodological responses to studying emerging technologies. The first three involve relying on a single theory, accepting partial explanations from one theory, or combining several complete theories. Each suffers from significant limitations, including explanatory incompleteness or ontological and epistemological inconsistency. As an alternative, the article proposes theoretical assemblage, inspired by John Law’s concept of method assemblage. Instead of committing to one comprehensive theory or simultaneously adopting several incompatible theories, researchers employ a heterogeneous toolbox of concepts, mechanisms, models, and analytical tools drawn from multiple traditions. This approach enables greater theoretical flexibility while avoiding unnecessary commitments to the full philosophical assumptions of every contributing theory. Conclusion The study concludes that no single theoretical framework is capable of explaining all dimensions of blockchain. Instead, researchers require theoretical flexibility, enabling them to draw selectively from diverse conceptual resources according to the specific characteristics of the phenomenon under investigation. The proposed notion of theoretical assemblage offers a methodological strategy for achieving this flexibility without demanding complete allegiance to multiple incompatible theoretical paradigms. Beyond blockchain, these findings have broader implications for Science and Technology Studies and technology research more generally. They suggest that journals, supervisors, and research institutions should place greater emphasis on researchers’ familiarity with diverse theoretical traditions rather than requiring strict adherence to a single theory. Future research may examine whether the theory–technology dialectic also characterizes other emerging technologies, such as artificial intelligence, the Internet of Things, and quantum technologies, thereby assessing the broader applicability of the proposed conceptual framework.

Abstract Paul Joseph Salomon Benacerraf, a professor of the philosophy of mathematics at Princeton University, passed away in 2025 at the age of 93. By raising a number of fundamental questions, he transformed the philosophy of mathematics from a primarily logical enterprise into a profound epistemological and metaphysical inquiry. His papers are widely regarded as among the most influential works in twentieth-century philosophy of mathematics and played a pivotal role in the emergence and development of mathematical structuralism. This paper examines the two articles that brought him international recognition and briefly reviews the reactions they elicited from other philosophers. Benacerraf argued that numbers lack an intrinsic identity independent of the mathematical structures in which they occur; what matters is the “role” they occupy within a numerical structure. He also formulated a challenge that later became known as the “Benacerraf Problem”: how is it possible for human beings to have knowledge of abstract mathematical objects. Keywords: numbers; the Benacerraf problem; mathematical epistemology; structuralism. Extended Abstract Introduction Paul Benacerraf is widely recognized as one of the most influential philosophers of mathematics in the twentieth century. His work fundamentally reshaped philosophical debates by shifting attention from the logical foundations of mathematics to deeper epistemological and metaphysical questions. Rather than asking merely what mathematical objects are, Benacerraf challenged philosophers to explain how human beings can possess knowledge of abstract mathematical entities. The present study examines Benacerraf's philosophical contributions through an analytical review of his two landmark papers, “What Numbers Could Not Be (1965)” and “Mathematical Truth (1973)”, which transformed contemporary philosophy of mathematics. The article also reviews the intellectual responses of later philosophers and evaluates Benacerraf's lasting influence on mathematical structuralism. Special attention is devoted to his rejection of the intrinsic identity of numbers and to the epistemological challenge that has become known as the “Benacerraf Problem”. By exploring these ideas, the study demonstrates how Benacerraf redirected philosophical inquiry from the ontology of numbers toward the nature and possibility of mathematical knowledge. Materials and Methods This research adopts a qualitative and analytical approach based on documentary and philosophical analysis. The primary sources consist of Benacerraf's seminal papers published in 1965 and 1973, supplemented by his edited volume with Hilary Putnam and major secondary literature written by contemporary philosophers of mathematics, including Stewart Shapiro, Michael Resnik, Hartry Field, Penelope Maddy, Charles Parsons, Mark Colyvan, Øystein Linnebo, Gideon Rosen, and others. The study systematically examines Benacerraf's principal arguments concerning the ontology of numbers, structuralism, and mathematical epistemology. It also compares his views with major philosophical schools, including Platonism, Logicism, Formalism, Intuitionism, Nominalism, and Structuralism. Furthermore, the historical development of his ideas and their influence on subsequent philosophical debates are investigated through a critical review of published scholarly literature and citation records. The research method is therefore interpretative rather than empirical, aiming to reconstruct Benacerraf's arguments, assess their logical coherence, and evaluate their philosophical significance within the broader development of modern philosophy of mathematics. Discussion and Results The analysis demonstrates that Benacerraf introduced two revolutionary arguments that continue to shape contemporary philosophy of mathematics. In his “1965 paper”, he criticized the traditional identification of numbers with particular sets. By comparing the set-theoretical constructions proposed by John von Neumann and Ernst Zermelo, he argued that equally valid mathematical systems assign different set-theoretic identities to the same numbers. Since no principled reason exists for preferring one representation over another, numbers cannot possess unique intrinsic identities. Their significance lies solely in the structural positions they occupy within mathematical systems. This conclusion provided one of the strongest philosophical motivations for mathematical structuralism, according to which mathematical objects are defined relationally rather than independently. The second major contribution emerged in his “1973 paper”, where Benacerraf shifted philosophical attention from ontology to epistemology. He argued that an adequate philosophy of mathematics must satisfy both semantic and epistemological requirements. While Platonism successfully explains the objectivity and necessity of mathematical truths, it fails to explain how finite human beings can acquire knowledge of causally inert abstract objects. Conversely, nominalist or formalist approaches often provide more plausible accounts of mathematical knowledge but struggle to explain the apparent objectivity and truth of mathematics. This tension became known as the Benacerraf Problem and remains one of the central unresolved issues in contemporary philosophy. The study further shows that Benacerraf's work generated extensive philosophical debate. Structuralists such as Stewart Shapiro expanded his relational conception of mathematical objects by providing more elaborate theories of mathematical structures. Nominalists, including Hartry Field, attempted to eliminate commitment to abstract mathematical entities altogether, while naturalists such as Penelope Maddy questioned Benacerraf's assumption that mathematical knowledge requires causal interaction. Other philosophers, including Charles Parsons, Mark Colyvan, Gideon Rosen, and Øystein Linnebo, proposed alternative responses addressing either the ontological or epistemological dimensions of the problem. Despite these diverse approaches, none has achieved universal acceptance, confirming the enduring philosophical significance of Benacerraf's challenge. The article also emphasizes Benacerraf's broader intellectual legacy. Although he published relatively few papers, his writings have received thousands of scholarly citations and fundamentally redirected research in philosophy of mathematics, influencing debates in metaphysics, epistemology, philosophy of language, and philosophy of science. His ideas contributed significantly to the emergence of modern mathematical structuralism and continue to serve as reference points in contemporary discussions concerning mathematical realism and abstract objects. Conclusion This study concludes that Paul Benacerraf transformed the philosophy of mathematics by demonstrating that questions concerning the identity of mathematical objects cannot be separated from questions concerning mathematical knowledge. His rejection of the intrinsic identity of numbers provided a powerful philosophical foundation for structuralism, while his epistemological challenge exposed significant weaknesses in both realist and anti-realist accounts of mathematics. The Benacerraf Problem continues to resist definitive resolution because no existing philosophical theory simultaneously offers a fully satisfactory account of both the truth and the knowability of mathematics. Consequently, Benacerraf's work remains central to contemporary philosophical inquiry and continues to inspire new approaches to ontology, epistemology, and the foundations of mathematics. His contributions represent a lasting shift from viewing mathematics merely as a formal logical discipline toward understanding it as a profound philosophical investigation into the nature of abstract knowledge and human cognition.

Abstract This research offers a critical analysis of Scientism as an epistemological stance in which science is elevated from a means of understanding nature to the ultimate criterion of all truth. The central problem is that scientism, by extending beyond the methodological limits of the empirical sciences, claims epistemic exclusivity and fundamentally calls into question the domains of metaphysics, ethics, religion, and the humanities. The article’s main finding is that scientism is realized at three levels: (1) scientific naturalism, which reduces reality to observable nature; (2) methodological exclusivism, which regards only the method of the natural sciences as valid for acquiring knowledge; and (3) scientific Imperialism, which sees science as the sole authority capable of answering all human questions. It is shown that these levels rest on three pillars: reductionism(reducing complex phenomena to physical components), Darwinism (biological explanation of all behaviors and beliefs), and the naturalization of normativity (reducing ethics and values to evolutionary processes). The study further shows that the consequences of scientism are chain-like: it begins with the denial of metaphysics and theology, leads to the erosion of the foundations of normative ethics, and ultimately ends in the denial of human distinctiveness from nature and the collapse of the humanities. In the end, the article’s key conclusion is that scientism is not merely an epistemological error, but a path from the denial of God to the denial of human beings—a trajectory that threatens the philosophical, ethical, and anthropological foundations of civilization.