A study in philosophical logic of the meaning of 'true'. Dr Williams demonstrates the shortcomings of various analyses which interpret 'true' as a predicate or truth as a relational property, and clears up a number of important points about propositions, quantification, definite descriptions and correspondence. This 'deflationary metaphysics' is interwoven with a positive theory of his own, which seeks to develop ideas about the late Arthur Prior. The work is marked throughout by great clarity, precision and thoroughness.

Social scientific reasoning (SSR) is essential to social science education and to a democratic society as a whole. Students are challenged to analyze and reason about social problems such as social inequality, crime, and poverty. However, students experience difficulties with SSR. This study addresses the research question: Which design principles can guide teachers in designing lessons that promote social scientific reasoning? In this design-based research, four social science teachers employed a conceptualization of SSR and its levels together with three initial (...) design principles to develop curriculum materials and activities. These design principles and curriculum materials were piloted in two secondary education classes (9th and 10th grades) and evaluated by four social science teachers, four social science teacher educators and 90 students. The study produced six design principles that can promote students’ SSR. In combination with the curriculum materials, those design principles can help develop teachers’ pedagogical content knowledge and guide the design of tasks and units that develop SSR. (shrink)

Algorithmic biases, or algorithmic unfairness, have been a topic of public and scientific scrutiny for the past years, as increasing evidence suggests the pervasive assimilation of human cognitive biases and stereotypes in such systems. This research is specifically concerned with analyzing the presence of discursive biases in the text generated by GPT-3, an NLPM which has been praised in recent years for resembling human language so closely that it is becoming difficult to differentiate between the human and the algorithm. The (...) pertinence of this research object is substantiated by the identification of race, gender and religious biases in the model’s completions in recent research, suggesting that the model is indeed heavily influenced by human cognitive biases. To this end, this research inquires: How does the Natural Language Processing Model GPT-3 replicate existing social biases?. This question is addressed through the scrutiny of GPT-3’s completions using Critical Discourse Analysis (CDA), a method which has been deemed as amply valuable for this research as it is aimed at uncovering power asymmetries in language. As such, the analysis is specifically centered around the analysis of gender and race biases in the model’s generated text. Research findings suggest that GPT-3’s language generation model significantly exacerbates existing social biases while replicating dangerous ideologies akin to white supremacy and hegemonic masculinity as factual knowledge. (shrink)

Geannoteerde briefwisseling van de twee geleerden over het vraagstuk van de evolutie.

An overview of the following three related papers in this issue presents the Emergence of Highly Complex Systems such as living organisms, man, society and the human mind from the viewpoint of the current Ontological Theory of Levels. The ontology of spacetime structures in the Universe is discussed beginning with the quantum level; then, the striking emergence of the higher levels of reality is examined from a categorical—relational and logical viewpoint. The ontological problems and methodology aspects discussed in the first (...) two papers are followed by a rigorous paper based on Category Theory, Algebraic Topology and Logic that provides a conceptual and mathematical basis for a Categorical Ontology Theory of Levels. The essential links and relationships between the following three papers of this issue are pointed out, and further possible developments are being considered. (shrink)

A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item’s essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the important categorical concept of natural transformations to biomolecular reactions and relational structures that (...) emerge from the latter in living systems. Thus, several relational theories of living systems can be represented by natural transformations of organismic, relational structures. The ascent of man and other living organisms through adaptation, is viewed in novel categorical terms, such as variable biogroupoid representations of evolving species. Such precise but flexible evolutionary concepts will allow the further development of the unifying theme of local-to-global approaches to highly complex systems in order to represent novel patterns of relations that emerge in super- and ultra-complex systems in terms of compositions of local procedures. Solutions to such local-to-global problems in highly complex systems with ‘broken symmetry’ might be possible to be reached with the help of higher homotopy theorems in algebraic topology such as the generalized van Kampen theorems (HHvKT). Categories of many-valued, Łukasiewicz-Moisil (LM) logic algebras provide useful concepts for representing the intrinsic dynamic ‘asymmetry’ of genetic networks in organismic development and evolution, as well as to derive novel results for (non-commutative) Quantum Logics. Furthermore, as recently pointed out by Baianu and Poli (Theory and applications of ontology, vol 1. Springer, Berlin, in press), LM-logic algebras may also provide the appropriate framework for future developments of the ontological theory of levels with its complex/entangled/intertwined ramifications in psychology, sociology and ecology. As shown in the preceding two papers in this issue, a paradigm shift towards non-commutative, or non-Abelian, theories of highly complex dynamics—which is presently unfolding in physics, mathematics, life and cognitive sciences—may be implemented through realizations of higher dimensional algebras in neurosciences and psychology, as well as in human genomics, bioinformatics and interactomics. (shrink)

The first solid bit of argumentation you get in Plato's Phaedo goes something like this: Whatever comes to be, comes to be from its opposite . If at a certain time t a given thing a begins to be F , before that time t it must have been non- F . Wherever a pair of predicates, F and G , are genuine contradictories; where, that is, they stand to each other in the same relation as F stands in to (...) non- F ; it is necessarily true that if a began to be F at t before then a was G . The only trouble comes from the difficulty of finding substitutes for F and G that people will allow to be genuine contradictories. It the butter began to be soft at four o'clock, we may suggest, before four it was hard. A tiresome opponent will retort that there is a state in which butter cannot properly be called either hard or soft. We try again: If Ann began to be asleep at eight, before eight she was awake; if my shirt became dirty on Tuesday, before Tuesday it was clean; if Bonzo died last week, before last week he was alive. And when the advocate of the borderline state reminds us of the various twilight areas of consciousness or cleanliness, we are reduced to legislation: “asleep” shall henceforth apply to every mental state short of complete wakefulness, “alive” to every condition of the body before the onset of putrefaction, “clean” to every shirt incapable of producing a certain measurable discoloration in the water in which it is washed. “Let F and G be contradictories”, we still guardedly maintain: “then if a comes to be F at time t , before time t a was G ”. (shrink)

The first solid bit of argumentation you get in Plato's Phaedo goes something like this: Whatever comes to be, comes to be from its opposite. If at a certain time t a given thing a begins to be F, before that time t it must have been non-F. Wherever a pair of predicates, F and G, are genuine contradictories; where, that is, they stand to each other in the same relation as F stands in to non-F; it is necessarily true (...) that if a began to be F at t before then a was G. The only trouble comes from the difficulty of finding substitutes for F and G that people will allow to be genuine contradictories. It the butter began to be soft at four o'clock, we may suggest, before four it was hard. A tiresome opponent will retort that there is a state in which butter cannot properly be called either hard or soft. We try again: If Ann began to be asleep at eight, before eight she was awake; if my shirt became dirty on Tuesday, before Tuesday it was clean; if Bonzo died last week, before last week he was alive. And when the advocate of the borderline state reminds us of the various twilight areas of consciousness or cleanliness, we are reduced to legislation: “asleep” shall henceforth apply to every mental state short of complete wakefulness, “alive” to every condition of the body before the onset of putrefaction, “clean” to every shirt incapable of producing a certain measurable discoloration in the water in which it is washed. “Let F and G be contradictories”, we still guardedly maintain: “then if a comes to be F at time t, before time t a was G”. (shrink)

We present a pole expansion for the propagators in the framework of normalized quantum electrodynamics and compare it with the more canonical results from S-matrix theory.

A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item’s essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the important categorical concept of natural transformations to biomolecular reactions and relational structures that (...) emerge from the latter in living systems. Thus, several relational theories of living systems can be represented by natural transformations of organismic, relational structures. The ascent of man and other living organisms through adaptation, is viewed in novel categorical terms, such as variable biogroupoid representations of evolving species. Such precise but flexible evolutionary concepts will allow the further development of the unifying theme of local-to-global approaches to highly complex systems in order to represent novel patterns of relations that emerge in super- and ultra-complex systems in terms of compositions of local procedures. Solutions to such local-to-global problems in highly complex systems with ‘broken symmetry’ might be possible to be reached with the help of higher homotopy theorems in algebraic topology such as the generalized van Kampen theorems (HHvKT). Categories of many-valued, Łukasiewicz-Moisil (LM) logic algebras provide useful concepts for representing the intrinsic dynamic ‘asymmetry’ of genetic networks in organismic development and evolution, as well as to derive novel results for (non-commutative) Quantum Logics. Furthermore, as recently pointed out by Baianu and Poli (Theory and applications of ontology, vol 1. Springer, Berlin, in press), LM-logic algebras may also provide the appropriate framework for future developments of the ontological theory of levels with its complex/entangled/intertwined ramifications in psychology, sociology and ecology. As shown in the preceding two papers in this issue, a paradigm shift towards non-commutative, or non-Abelian, theories of highly complex dynamics—which is presently unfolding in physics, mathematics, life and cognitive sciences—may be implemented through realizations of higher dimensional algebras in neurosciences and psychology, as well as in human genomics, bioinformatics and interactomics. (shrink)

This collection of essays, addresses, and one interview come from the years 1966-73 and cover a wide spectrum of interest, dealing with such general topics as 'The Absence of God in Modern Culture' and 'The Future of Christianity.'.

Avez-vous remarqué que dans le monde tout ce qui compte va par quatre? La musique : timbre, harmonie, rythme et mélodie. Le repérage : altitude, latitude, longitude et datation. Les quatre aspects de la cause: pour quoi, avec quoi, par quoi et selon quoi? Les forces de la nature : interactions faible, forte, électromagnétique et gravitationnelle... Les vingt-quatre particules élémentaires qui constituent la matière une famille de six leptons associée à trois familles de quarks. Et aussi la logique d'un discours (...) nuancé : oui, non, oui et non, ni oui ni non. Pourquoi quatre est-il partout? La notion de quaternité apporte une réponse à la fois simple et surprenante à cette question. A partir d'exemples tirés de l'expérience humaine, les auteurs en dégagent les aspects structurels et s'en servent pour approfondir le sens des mathématiques et de divers autres domaines liés à la genèse de la connaissance. Il s'agit d'une nouvelle épistémologie, fondée sur un modèle logique qui complète celui d'Aristote. (shrink)

Draws on examples ranging from prehistoric cave art to modern pop music to discuss the nature and purpose of art and its use by powerful social and cultural forces.

In both continental and analytical philosophy, social ontology has emerged as a particularly lively and increasingly sophisticated area of debate. This essay explores the potential contribution that social-ontological thinking can make to the continued development of critical theory via a critical reading of Georg Lukács and the Possibility of Critical Social Ontology – a collection of essays edited by Michael J. Thompson and published by Brill as part of the Studies in Critical Social Sciences series. The essay argues that whilst (...) social ontology as such no doubt offers a fruitful avenue for contemporary critical theory, the later philosophy of Georg Lukács represents an untenable and antiquated theoretical resource for such endeavours. The conceptual and systematic barriers to the revitalisation of the late Lukács are explored with specific reference to Lukács’ specific interpretation of the paradigm of labour and, closely related to this, his philosophy of history. (shrink)

ABSTRACT On 19 July 2019, Agnes Heller died whilst swimming in Lake Balaton outside Budapest. With her passing, the culture of humanity lost one of its most remarkable representatives. So too, contemporary critique lost a philosophical sensibility that is, today, within the neoliberal university, increasingly rare. It is this philosophical sensibility with which this essay is concerned. Through a critical reconstruction of Heller’s reading of three key figures from the philosophical tradition (Marx, Pascal and Kierkegaard), this essay both charts the (...) changes and continuities in Heller’s philosophy of concrete subjectivity and makes a case for its continuing relevance to the cultural project of philosophy. (shrink)

This essay aims to continue to develop the thesis that the welter of political-economic, social, technological, and subjective transformations that characterized the final decades of the 20th century and the first decades of the 21st necessitate a re-thinking of the relationship between social criticism and the critique of political economy. Herein the focus is directed towards the critique of reification and industrial rationalization as developed in the works of Georg Lukács and Cornelius Castoriadis. Drawing on recent phenomenological and psychological analyses (...) of work within contemporary capitalism, I argue for both the historical obsolescence of the critique of reification as it has been traditionally understood and, consequently, the need for novel conceptual responses to the pressing needs of our time. (shrink)