We characterize the collapse of Buss' bounded arithmetic in terms of the provable collapse of the polynomial time hierarchy. We include also some general model-theoretical investigations on fragments of bounded arithmetic.

Despite the burgeoning literature on the governance and impact of cross-sector partnerships in the past two decades, the debate on how and when these collaborative arrangements address globally relevant problems and contribute to systemic change remains open. Building upon the notion of wicked problems and the literature on governing such wicked problems, this paper defines harnessing problems in multi-stakeholder partnerships as the approach of taking into account the nature of the problem and of organizing governance processes accordingly. The paper develops (...) an innovative analytical framework that conceptualizes MSPs in terms of three governance processes harnessing three key dimensions of wicked problems. The Roundtable on Sustainable Palm Oil provides an illustrative case study on how this analytical framework describes and explains organizational change in partnerships from a problem-based perspective. The framework can be used to better understand and predict the complex relationships between MSP governance processes, systemic change and societal problems, but also as a guiding tool in organizing governance processes to continuously re-assess the problems over time and address them accordingly. (shrink)

This paper explores the relationship between business experience in cross-sector partnerships and the co-creation of what we refer to as ‘dynamic capabilities for stakeholder orientation,’ consisting of the four dimensions of sensing, interacting with, learning from and changing based on stakeholders. We argue that the co-creation of dynamic capabilities for stakeholder orientation is crucial for CSPs to create societal impact, as stakeholder-oriented organizations are more suited to deal with “wicked problems,” i.e., problems that are large, messy, and complex. By means (...) of a grounded theory approach of inductive research, we collected and interpreted data on four global agri-food companies which have heterogeneous experience in participating in CSPs. The results of this paper highlight that only companies’ capability of interacting with stakeholders continually increases, while their capabilities of sensing, learning from, and changing based on stakeholders first increase and then decrease as companies gain more experience in CSP participation. To a large extent, this can be attributed to the development of corporate strategies on sustainability after a few years of CSP participation, which entails a shift from a reactive to a proactive attitude towards sustainability issues and which may decrease the need or motivation for stakeholder orientation. These findings open up important issues for discussion and for future research on the impact of CSPs in a context of wicked problems. (shrink)

Legends and stories about fabulous races that dwelt in India or in Africa circulated in Iran probably since the Achaemenid times. Unfortunately, scholarship on this topic has neglected some late Iranian and, especially, Zoroastrian sources, such as Draxt ī āsūrīg, the Bundahišn, the Ayādgār ī Jāmāspīg, and the New Persian epic Šāhnāme. This article examines the aforementioned sources and discusses their accounts of five fabulous races from an Iranian, and especially Zoroastrian, perspective and through a comparative approach to some similar (...) neighboring traditions. (shrink)

The relations between the Iranian, in particular Zoroastrian, and Jewish apocalyptic literature as well as their mutual influences have, since the beginning of the twentieth century, constituted a rich and exciting battlefield for the scholars of these respective traditions. This article aims to present some topics concerning the definition of Iranian apocalyptics and its relation with its Jewish counterpart, as well as to establish an updated starting point for a new scholarly debate.

We show that every model of IΔ0 has an end extension to a model of a theory where log-space computable function are formalizable. We also show the existence of an isomorphism between models of IΔ0 and models of linear arithmetic LA.

In this paper we argue that data science is a coherent and novel approach to empirical problems that, in its most general form, does not build understanding about phenomena. Within the new type of mathematization at work in data science, mathematical methods are not selected because of any relevance for a problem at hand; mathematical methods are applied to a specific problem only by `forcing’, i.e. on the basis of their ability to reorganize the data for further analysis and the (...) intrinsic richness of their mathematical structure. In particular, we argue that deep learning neural networks are best understood within the context of forcing optimization methods. We finally explore the broader question of the appropriateness of data science methods in solving problems. We argue that this question should not be interpreted as a search for a correspondence between phenomena and specific solutions found by data science methods; rather, it is the internal structure of data science methods that is open to precise forms of understanding. (shrink)

Let be a saturated model of inaccessible cardinality, and let be arbitrary. Let denote the expansion of with a new predicate for. Write for the collection of subsets such that ≡. We prove that if the VC-dimension of is finite then is externally definable.

This article delves into Blaise Pascal’s religious philosophy, focusing on his use of the phrase “Scio cui credidi” (I know whom I have believed) to explore his understanding of faith. It analyzes Pascal’s “Memorial” and the “Summary of the Life of Jesus Christ”, highlighting how Christ is central to Pascal’s belief system. The discussion reveals the transformational nature of Pascal’s faith, particularly after his mystical experience on November 23, 1654. This experience is crucial in understanding his shift from a philosophical (...) to a deeply personal, Christ-centered faith. The article underscores Pascal’s journey from a scientific and philosophical perspective to an intimate, emotional resonance with Christian faith, demonstrating how his personal encounters with the divine profoundly shaped his religious perspective. (shrink)

We present a simple and completely model-theoretical proof of a strengthening of a theorem of Ajtai: The independence of the pigeonhole principle from IΔ0. With regard to strength, the theorem proved here corresponds to the complexity/proof-theoretical results of [10] and [14], but a different combinatorics is used. Techniques inspired by Razborov [11] replace those derived from Håstad [8]. This leads to a much shorter and very direct construction.

As a reply to the commentary (Humphreys in Found Sci, 2012), we explore the methodological implications of seeing artificial neural networks as generic classification tools, we show in which sense the use of descriptions and models in data analysis is not equivalent to the original empirical use of epicycles in describing planetary motion, and we argue that agnostic science is essentially related to the type of problems we ask about a phenomenon and to the processes used to find answers.

As a reply to the commentary (Lenhard in Found Sci, 2012), we stress here that structural understanding of data analysis techniques is the natural counterpart to the lack of understanding of phenomena in agnostic science. We suggest moreover that the dynamics of computational processes, and their parallels with the dynamics of natural processes, will increasingly be, possibly, the driving force of the development of data analysis.

traduzione di n. de domenico del testo di f. brentano "sul nominalismo. contro guastella".

We formalize the notion of isolated objects, and we build a consistent theory to describe their evolution and interaction. We further introduce a notion of indistinguishability of distinct spacetime paths of a unit, for which the evolution of the state variables of the unit is the same, and a generalization of the equivalence principle based on indistinguishability. Under a time reversal condition on the whole set of indistinguishable paths of a unit, we show that the quantization of motion of spinless (...) elementary particles in a general potential field can be derived in this framework, in the limiting case of weak fields and low velocities. Extrapolating this approach to include weak relativistic effects, we explore possible experimental consequences. We conclude by suggesting a primitive ontology for the theory of isolated objects. (shrink)

The present contribution develops some key issues of the work of Luigi Stefanini, starting from his work on cinema dating back to 1954. The relationships between philosophical esthetics and film criticism have not been particularly fruitful in Italy (or elsewhere). However it can be surmised, following Formaggio 1961, that “cinema is a testbed for contemporary esthetics, insofar as the latter tries to provide a universal theorization of art”.

The present essay seeks to analyze the reflections on cinematographic art proposed by Jean-Luc Nancy, referring in particular to his L’Évidence du film. Abbas Kiarostami (2001) as well as to other studies where the author reconsiders the concepts of image and gaze. The specifity of films lies in “evidence”, which is a way to affirm the finite character of existence-presence. Cinema addresses the world without any form of realism. It is reality itself to open out to the image. What results (...) is a possible gaze which is no longer on representation and nor can it be a representative gaze. This gaze does not look at any object; the very act of seeing can be seen through it. (shrink)

Il presente numero di “Rivista di estetica” raccoglie diversi contributi che intendono riflettere oggi sui limiti e sulle possibilità di un approccio estetico-filosofico alle nuove istanze (sia tecniche che narrative) che ci giungono da questo oggetto sempre da identificare chiamato film. Come si sa, il cinema, fin dalle sue origini, ha generato un complesso insieme di discorsi intorno a sé. Il cinema è stato cioè continuamente trattato, discusso, analizzato, fatto oggetto di studio, dalla st...

The contribution examines the notion of occasionalismo sensista, or also known by the expression of formalismo sensista, that the Italian philosopher Adelchi Baratono was proposing in the ’30s and ’40s of the twentieth century. Best known for his dense volume, Il mondo sensibile. Introduzione all’estetica, Baratono is among the first thinkers of his time in Italy to start a confrontation with Kantian criticism in aesthetic context, looking groundwork for an alternative route to the one proposed by the Italian Neo-idealism. In (...) fact, against the absolutization of the subject, which Baratono ascribes, in particular, to the thought of Giovanni Gentile, he affirms the profound otherness of subject and object in front of which philosophy is bound to be wrecked. In this perspective, the “sensible world” for Baratono is in itself, regardless of the knowing subject, because everything is resolved in the “world within and around us”. In this perspective, Baratono affirms that the feeling is all this, that is something without which are neither perception nor the concept and even the idea. The feeling, therefore, far from being considered the first stage of knowledge, is the real existence. (shrink)

The present essay seeks to analyze the reflections on cinematographic art proposed by Jean-Luc Nancy, referring in particular to his L’Évidence du film. Abbas Kiarostami (2001) as well as to other studies where the author reconsiders the concepts of image and gaze. The specifity of films lies in “evidence”, which is a way to affirm the finite character of existence-presence. Cinema addresses the world without any form of realism. It is reality itself to open out to the image. What results (...) is a possible gaze which is no longer on representation and nor can it be a representative gaze. This gaze does not look at any object; the very act of seeing can be seen through it. (shrink)