Der Beginn von Naturwissenschaft und Geisteswissenschaft in der Antike war gemeinsam, aber die Naturwissenschaft hatte sich bis zum Ende des 19. Jahrhundert durch ihre Erfolge dominant entwickelt. Gegen diese Dominanz prägte der Philosoph Wilhelm Dilthey 1883 den Begriff der Geisteswissenschaften. In den Naturwissenschaften war es andrerseits klar, dass ganze Bereiche des Geistes den Naturwissenschaften nicht zugänglich waren, etwa sinnliche Empfindungen und das Bewusstsein.Das Buch versucht zu zeigen, dass dieser harte Gegensatz weicher geworden ist. Die Physik ist geistiger geworden und die (...) Technologie des Geistes hat sich entwickelt: Es ist im Grundsatz die Informationstechnologie. Mit der Mathematik als Fundament und als Hilfsmittel ergibt dies MINT.Ein geistiges Weltbild ohne MINT ist in Würde nicht möglich. Es gibt eine Reihe von MINT-Bereichen, die unmittelbar geisteswissenschaftlich von Nutzen sind. Beispiele sind etwa das Prinzip des Lasers und der Begriff der Entropie. Ein dritter, geistiger Bereich bleibt außerhalb: die Kunst. Aber Kunst und MINT sind keine Gegensätze. Der AutorDr. Walter Hehl ist Physiker und Autor verschiedener Bücher zu IT, Management, Religion, Philosophie und zur Geschichte der Wissenschaft. Sein Buch über Galilei erhielt 2019 den Preis der Woitschach-Stiftung für das beste kritische, aber faire Wissenschaftsbuch. (shrink)

Das Buch versucht einen fairen Blick auf Spiritualität und Spirituelles aus Sicht der Physik und der modernen Geistesauffassung. So vieles soll spirituell sein, aber was ist es wirklich? Es gibt Aberglauben, Betrug und Illusionen einerseits und moderne Wissenschaft andererseits. Die Wissenschaft zeigt, was Geist ist, dass es unendlich Großes und unendlich Kleines gibt, dass wir so Vieles berechnen können - aber es bleibt das Mysteriöse. Manches in der Wissenschaft ist unmittelbar spirituell, etwa die Figuren von Lichtenberg und Chladni im 18. (...) Jahrhundert und die Kirlian-Fotographie und Tesla-Kugeln heute. Vieles verstehen wir nur oberflächlich. Wenn es der Computer versteht und wir nicht, können wir nicht zufrieden sein. Die Grenzen des Wissens sind weit nach außen verschoben, aber wir sind klein geblieben. Wir stoßen an Grenzen und begegnen Spirituellem: im Unendlichen, im Unausweichlichen und im Unfassbaren. Diese Grenzen sollten uns demütig machen. Die moderne Wissenschaft zeigt diese Grenzen auf. Die Spiritualität ist dann eher die Erfahrung des Mysteriösen des Physikers Albert Einstein. Es gibt Spirituelles, etwa wie eh und je den Anblick des Sternenhimmels oder des Ozeans. Auch heute sind Orte wie Stonehenge spirituelle Plätze oder Kraftörter. Der Magnetismus im Elektrofahrzeug ist so spirituell wie im Magnetstein der Antike. Besonders spirituell ist die Verbindung der Natur mit der Mathematik. Der Autor Dr. Walter Hehl ist Naturwissenschaftler und Softwareingenieur und Autor zahlreicher Sachbücher. (shrink)

This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. It is recommended reading for anyone interested in the question of reasoning and argumentation in the presence of contradictions, in semantics, in the paradoxes of set theory and in the puzzling properties of negation in logic programming. Paraconsistent logic comprises a major logical theory and (...) offers the broadest possible perspective on the debate of negation in logic and philosophy. It is a powerful tool for reasoning under contradictoriness as it investigates logic systems in which contradictory information does not lead to arbitrary conclusions. Reasoning under contradictions constitutes one of most important and creative achievements in contemporary logic, with deep roots in philosophical questions involving negation and consistency This book offers an invaluable introduction to a topic of central importance in logic and philosophy. It discusses the history of paraconsistent logic; language, negation, contradiction, consistency and inconsistency; logics of formal inconsistency and the main paraconsistent propositional systems; many-valued companions, possible-translations semantics and non-deterministic semantics; paraconsistent modal logics; first-order paraconsistent logics; applications to information processing, databases and quantum computation; and applications to deontic paradoxes, connections to Eastern thought and to dialogical reasoning. (shrink)

The purpose of this paper is to present a paraconsistent formal system and a corresponding intended interpretation according to which true contradictions are not tolerated. Contradictions are, instead, epistemically understood as conflicting evidence, where evidence for a proposition A is understood as reasons for believing that A is true. The paper defines a paraconsistent and paracomplete natural deduction system, called the Basic Logic of Evidence, and extends it to the Logic of Evidence and Truth. The latter is a logic of (...) formal inconsistency and undeterminedness that is able to express not only preservation of evidence but also preservation of truth. LETj is anti-dialetheist in the sense that, according to the intuitive interpretation proposed here, its consequence relation is trivial in the presence of any true contradiction. Adequate semantics and a decision method are presented for both BLE and LETj, as well as some technical results that fit the intended interpretation. (shrink)

Walter applies the methodology of neurophilosophy to one of philosophy's centralchallenges, the notion of free will. Neurophilosophical conclusions are based on, and consistentwith, scientific knowledge about the brain and its functioning.

In the last two decades modal logic has undergone an explosive growth, to thepointthatacompletebibliographyofthisbranchoflogic,supposingthat someone were capable to compile it, would?ll itself a ponderous volume. What is impressive in the growth of modal logic has not been so much the quick accumulation of results but the richness of its thematic dev- opments. In the 1960s, when Kripke semantics gave new credibility to the logic of modalities? which was already known and appreciated in the Ancient and Medieval times? no one could (...) have foreseen that in a short time modal logic would become a lively source of ideas and methods for analytical philosophers,historians of philosophy,linguists, epistemologists and computer scientists. The aim which oriented the composition of this book was not to write a new manual of modal logic buttoo?ertoeveryreader,evenwithnospeci?cbackground in logic, a conceptually linear path in the labyrinth of the current panorama of modal logic. The notion which in our opinion looked suitable to work as a compass in this enterprise was the notion of multimodality, or, more speci?cally, the basic idea of grounding systems on languages admitting more than one primitive modal operator. (shrink)

According to behavioural theories deriving from pragmatism, gestalt psychology, existentialism, and ecopsychology, knowledge about the world is gained by intentional action followed by learning. In terms of the neurodynamics described here, if the intending of an act comes to awareness through reafference, it is perceived as a cause. If the consequences of an act come to awareness through proprioception and exteroception, they are perceived as an effect. A sequence of such states of awareness comprises consciousness, which can grow in complexity (...) to include self-awareness. Intentional acts do not require awareness, whereas voluntary acts require self-awareness. Awareness of the action/perception cycle provides the cognitive metaphor of linear causality as an agency. Humans apply this metaphor to objects and events in the world to predict and control them, and to assign social responsibility. Thus, linear causality is the bedrock of technology and social contracts. Complex material systems with distributed non-linear feedback, such as brains and their neural and behavioural activities, cannot be explained by linear causality. They can be said to operate by circular causality without agency. The nature of self-control is described by breaking the circle into a forward limb, the intentional self, and a feedback limb, awareness of the self and its actions. The two limbs are realized through hierarchically stratified kinds of neural activity. Intentional acts are produced by the self-organized microscopic neural activity of cortical and subcortical components in the brain. Awareness supervenes as a macroscopic ordering state, that defers action until the self-organizing microscopic process has reached closure in reflective prediction. Agency, which is removed from the causal hierarchy by the appeal to circularity, re-appears as a metaphor by which events in the world are anthropomorphized, making them appear subject to human control. (shrink)

Boolean-valued models of set theory were independently introduced by Scott, Solovay and Vopěnka in 1965, offering a natural and rich alternative for describing forcing. The original method was adapted by Takeuti, Titani, Kozawa and Ozawa to lattice-valued models of set theory. After this, Löwe and Tarafder proposed a class of algebras based on a certain kind of implication which satisfy several axioms of ZF. From this class, they found a specific 3-valued model called PS3 which satisfies all the axioms of (...) ZF, and can be expanded with a paraconsistent negation *, thus obtaining a paraconsistent model of ZF. The logic (PS3 ,*) coincides (up to language) with da Costa and D'Ottaviano logic J3, a 3-valued paraconsistent logic that have been proposed independently in the literature by several authors and with different motivations such as CluNs, LFI1 and MPT. We propose in this paper a family of algebraic models of ZFC based on LPT0, another linguistic variant of J3 introduced by us in 2016. The semantics of LPT0, as well as of its first-order version QLPT0, is given by twist structures defined over Boolean agebras. From this, it is possible to adapt the standard Boolean-valued models of (classical) ZFC to twist-valued models of an expansion of ZFC by adding a paraconsistent negation. We argue that the implication operator of LPT0 is more suitable for a paraconsistent set theory than the implication of PS3, since it allows for genuinely inconsistent sets w such that [(w = w)] = 1/2 . This implication is not a 'reasonable implication' as defined by Löwe and Tarafder. This suggests that 'reasonable implication algebras' are just one way to define a paraconsistent set theory. Our twist-valued models are adapted to provide a class of twist-valued models for (PS3,*), thus generalizing Löwe and Tarafder result. It is shown that they are in fact models of ZFC (not only of ZF). (shrink)

After a brief promenade on the several notions of translations that appear in the literature, we concentrate on three paradigms of translations between logics: ( conservative ) translations , transfers and contextual translations . Though independent, such approaches are here compared and assessed against questions about the meaning of a translation and about comparative strength and extensibility of a logic with respect to another.

This paper investigates the question of characterizing first-order LFIs (logics of formal inconsistency) by means of two-valued semantics. LFIs are powerful paraconsistent logics that encode classical logic and permit a finer distinction between contradictions and inconsistencies, with a deep involvement in philosophical and foundational questions. Although focused on just one particular case, namely, the quantified logic QmbC, the method proposed here is completely general for this kind of logics, and can be easily extended to a large family of quantified paraconsistent (...) logics, supplying a sound and complete semantical interpretation for such logics. However, certain subtleties involving term substitution and replacement, that are hidden in classical structures, have to be taken into account when one ventures into the realm of nonclassical reasoning. This paper shows how such difficulties can be overcome, and offers detailed proofs showing that a smooth treatment of semantical characterization can be given to all such logics. Although the paper is well-endowed in technical details and results, it has a significant philosophical aside: it shows how slight extensions of classical methods can be used to construct the basic model theory of logics that are weaker than traditional logic due to the absence of certain rules present in classical logic. Several such logics, however, as in the case of the LFIs treated here, are notorious for their wealth of models precisely because they do not make indiscriminate use of certain rules; these models thus require new methods. In the case of this paper, by just appealing to a refined version of the Principle of Explosion, or Pseudo-Scotus, some new constructions and crafty solutions to certain non-obvious subtleties are proposed. The result is that a richer extension of model theory can be inaugurated, with interest not only for paraconsistency, but hopefully to other enlargements of traditional logic. (shrink)

The main objective o f this descriptive paper is to present the general notion of translation between logical systems as studied by the GTAL research group, as well as its main results, questions, problems and indagations. Logical systems here are defined in the most general sense, as sets endowed with consequence relations; translations between logical systems are characterized as maps which preserve consequence relations (that is, as continuous functions between those sets). In this sense, logics together with translations form a (...) bicomplete category of which topological spaces with topological continuous functions constitute a full subcategory. We also describe other uses of translations in providing new semantics for non-classical logics and in investigating duality between them. An important subclass of translations, the conservative translations, which strongly preserve consequence relations, is introduced and studied. Some specific new examples of translations involving modal logics, many-valued logics, para- consistent logics, intuitionistic and classical logics are also described. (shrink)

This paper reviews the central points and presents some recent developments of the epistemic approach to paraconsistency in terms of the preservation of evidence. Two formal systems are surveyed, the basic logic of evidence (BLE) and the logic of evidence and truth (LET J ), designed to deal, respectively, with evidence and with evidence and truth. While BLE is equivalent to Nelson’s logic N4, it has been conceived for a different purpose. Adequate valuation semantics that provide decidability are given for (...) both BLE and LET J . The meanings of the connectives of BLE and LET J , from the point of view of preservation of evidence, is explained with the aid of an inferential semantics. A formalization of the notion of evidence for BLE as proposed by M. Fitting is also reviewed here. As a novel result, the paper shows that LET J is semantically characterized through the so-called Fidel structures. Some opportunities for further research are also discussed. (shrink)

Each had met his match, and happily, in the other. This book is the story of an elective affinity.

We here attempt to address certain criticisms of the philosophical import of the so-called Brazilian approach to paraconsistency by providing some epistemic elucidations of the whole enterprise of the logics of formal inconsistency. In the course of this discussion, we substantiate the view that difficulties in reasoning under contradictions in both the Buddhist and the Aristotelian traditions can be accommodated within the precepts of the Brazilian school of paraconsistency.

Griechische und lateinische Quellenstücke von Hippokrates bis Galen. Welche Fortschritte die Medizin nahm, nachdem man nicht mehr Dämonen als Verursacher von Krankheiten verantwortlich machte, weist Walter Müris Sammlung medizinischer Quellentexte nach. Ob in der Prognostik, der Diätetik, der Anatomie oder der Chirurgie: Neben den recht abenteuerlichen Thesen der sogenannten Hypothesenmedizin oder der auf der Viersäftelehre beruhenden Humoralpathologie leuchten zunehmend Erkenntnisse auf, die auch nach heutigen wissenschaftlichen Maßstäben erstaunlich fortschrittlich sind. Walter Müri lässt die Ärzte selbst zu Wort kommen, (...) von Hippokrates angefangen - bzw. jenen Ärzten, deren Schriften unter seinem Namen überliefert wurden - bis hin zu Galenos, dem Hofarzt von Kaiser Marc Aurel. Die Texte stammen aus der Zeit zwischen 400 v. Chr. und 200 n. Chr. sind unter systematischen Gesichtspunkten geordnet: Aufgabe und Pflichten des Arztes; Über einzelne Ärzte; Am Krankenbett; Gesundheit und Krankheit; Anatomie und Chirurgie; Diätetik, Arzneimittel; Am Rande der Medizin. Mit Nachwort, Erläuterungen, Bibliographie und Register. (shrink)

The author nationally recognized for the quality and depth of his teaching in religious studies has written the first full-scale introduction to the history and methods of the study of religion.

This essay is written in the belief that it is possible to say both where Max Weber's philosophy of social science is mistaken and how these mistakes can be put right. Runciman argues that Weber's analysis breaks down at three decisive points: the difference between theoretical pre-suppositions and implicit value-judgements; the manner in which 'idiographic' explanations are to be subsumed under causal laws; and the relation of explanation to description in sociology. The arguments which Weber put forward are fundamental to (...) the methodology of the social sciences, and since his death it has come to be increasingly widely held that with perhaps the sole exception of Mill's System of Logic there is still no other body of work of comparable importance in the academic literature on these topics. Runciman's attempt to correct Weber's mistakes therefore constitutes in itself a valuable contribution to the philosophy of social science. (shrink)

The folding of RNA sequences into secondary structures is a simple yet biophysically grounded model of a genotype–phenotype map. Its computational and mathematical analysis has uncovered a surprisingly rich statistical structure characterized by shape space covering, neutral networks and plastogenetic congruence. I review these concepts and discuss their evolutionary implications. BioEssays 24:1164–1177, 2002. © 2002 Wiley‐Periodicals, Inc.

Although a very recent topic in contemporary logic, the subject of combinations of logics has already shown its deep possibilities. Besides the pure philosophical interest offered by the possibility of defining mixed logic systems in which distinct operators obey logics of different nature, there are also several pragmatical and methodological reasons for considering combined logics. We survey methods for combining logics (integration of several logic systems into a homogeneous environment) as well as methods for decomposing logics, showing their interesting properties (...) and applications. (shrink)

We humans and other animals continuously construct and main- tain our grasp of the world by using astonishingly small snippets of sensory information. Recent studies in nonlinear brain dynamics have shown how this occurs: brains imagine possible futures and seek and use sensory stimulation to select among them as guides for chosen actions. On the one hand the scientific explanation of the dynamics is inaccessible to most of us. On the other hand the philosophical foundation from which the sciences grew (...) is accessible through the work of one of its originators, Thomas Aquinas. The core concept of intention in Aquinas is the inviolable unity of mind, brain and body. All that we know we have constructed within ourselves from the unintelligible fragments of energy impacting our senses as we move our bodies through the world. This process of intention is transi- tive in the outward thrust of the body in search of desired future states; it is intransitive in the dynamic construction of predictions of the states in the sensory cortices by which we recognize suc- cess or failure in achievement. The process is phenomenologically experienced in the action-perception cycle. Enactment is through the serial creation of neurodynamic activity patterns in brains, by which the self of mind-brain-body comes to know the world first by shaping the self to an approximation of the sought-for input, and then by assimilating those shapes into knowledge and meaning. This conception of the self as closed, autonomous, and self- organizing, devised over 700 years ago and shelved by Descartes, Leibniz and Spinoza 300 years ago, is now re-emerging in philos- ophy and re-establishes the meaning of intention in its original sense. The core Aquinian concept of the unity of brain, body and soul/mind, which had been abandoned by mechanists and replaced by Brentano and Husserl using the duality inherent in representa- tionalism, has been revived by Heidegger and Merleau-Ponty, but in phenomenological terms that are opaque to neurscientists. In my experience there is no extant philosophical system than that of Aquinas that better fits with the new _ndings in nonlinear brain dynamics. Therefore, a detailed reading and transcription of basic terms is warranted, comparing in both directions the significance of key words across 700 years from medieval metaphysics to 21st century brain dynamics. (shrink)

In this paper we propose a very general de nition of combination of logics by means of the concept of sheaves of logics. We first discuss some properties of this general definition and list some problems, as well as connections to related work. As applications of our abstract setting, we show that the notion of possible-translations semantics, introduced in previous papers by the first author, can be described in categorial terms. Possible-translations semantics constitute illustrative cases, since they provide a new (...) semantical account for abstract logical systems, particularly for many-valued and paraconsistent logics. (shrink)

Polynomizing is a term that intends to describe the uses of polynomial-like representations as a reasoning strategy and as a tool for scientific heuristics. I show how proof-theory and semantics for classical and several non-classical logics can be approached from this perspective, and discuss the assessment of this prospect, in particular to recover certain ideas of George Boole in unifying logic, algebra and the differential calculus.

Study of electroencephalographic brain activity in behaving animals has guided development of a model for the self-organization of goal-directed behavior. Synthesis of a dynamical representation of brain function is based in the concept of intentionality as the organizing principle of animal and human behavior. The constructions of patterns of brain activity constitute meaning and not information or representations. The three accepted meanings of intention: "aboutness," goal-seeking, and wound healing, can be incorporated into the dynamics of meaningful behavior, centered in the (...) limbic system interacting with the sensory and motor systems. Evidence is noted for the maintenance in cortical neuropil of a felt work of synaptic connections, that have incorporated past experience by changes in learning, and that act as a unified whole in shaping each intentional action at each moment. This constitutes the intentional structure of the brain. Meaning is a focus having a place without edges in this structure. The focus continually moves through it along a chaotic trajectory; the meaning occupies the whole structure. In this view, consciousness is the active state of an intentional structure, and awareness is the subjective aspect of the shifting focus. (shrink)

This paper briefly outlines some advancements in paraconsistent logics for modelling knowledge representation and reasoning. Emphasis is given on the so-called Logics of Formal Inconsistency (LFIs), a class of paraconsistent logics that formally internalize the very concept(s) of consistency and inconsistency. A couple of specialized systems based on the LFIs will be reviewed, including belief revision and probabilistic reasoning. Potential applications of those systems in the AI area of KRR are tackled by illustrating some examples that emphasizes the importance of (...) a fine-tuned treatment of consistency in modelling reputation systems, preferences, argumentation, and evidence. (shrink)

Introduction to Special Issue on ‘Reclaiming Cognition: The Primacy of Action, Intention and Emotion’. Making sense of the mind is the human odyssey. Today, the cognitive sciences provide the vehicles and equipage. As do all culturally shaped activities, they manifest crystallized generalizations and ideological legacies, many of which go unquestioned for centuries. From time to time, these ideologies are successfully challenged, generating revisions and new forms of understanding. We believe that the cognitive sciences have reached a situation in which they (...) have been frozen into one narrow form by the machine metaphor. There is a need to thaw that form and move from a reductionist, atemporal, disembodied, static, rationalist, emotion- and culture-free view, to fundamentally richer understandings that include the primacy of action, intention, emotion, culture, real-time constraints, real-world opportunities, and the peculiarities of living bodies. These essays constitute an array of moves in that direction. (shrink)

During its career in North American social sciences and anthropology since the late 1960s the concept of ‘biomedicine’ acquired a large variety of meanings, sometimes even contradictory ones. Originating in research on biological and medical phenomena in technical areas like nuclear weapons, space flight, informatics or engineering, the term ‘biomedical’ entered politics and the social sciences, especially medical anthropology. Here it could mean medical research methods derived from biology as opposed to behavioural research or social sciences in general, the complex (...) of Western health care in non-Western countries and the reductionism and alleged Cartesian dualism of its approach - the opposite of traditional, religious, holistic and psychic views and treatment of illness. Oscillating between the levels of anthropological research or analysis and of practical health care delivery, intra- and cross-cultural perspectives and affirmative and critical attitudes the term has to be carefully considered in any reading of past and recent literature. The rather late German reception included replacing the term Schulmedizin born of older controversies on naturopathy, as well as naming the more somatic part of illness and medicine—as opposed to psychic or social aspects—and serving as the criticised object of many feminist and post-colonial studies on health. (shrink)

The earliest discoveries of extinct primates and humans profoundly affected the course of evolutionary theory as a scientific model for explaining life and its diversity through time. The absence of such fossils in the early nineteenth century provided important negative evidence to the competing French intellectual schools of Lamarckian evolutionism and Cuvierian catastrophism. Indeed, the first recognition of extinct primates fell serendipitously between the death of Cuvier in 1832 and the revolutionary writings of Darwin in 1859. Largely unknown to history, (...) however, is that four different European scholars, working on three continents, independently discovered and recognized extinct primates within a few months of each other in 1836. The first of these to be formally named, Protopithecus, is ironically the least well known despite being the largest monkey ever discovered in the western hemisphere. The reasons for this forgotten first discovery reflect a general unawareness of South American mammals, and propagation of misinterpretation at a critical time in the history of primatology. (shrink)

Im Mittelpunkt dieses Bandes stehen aktuelle Themen politischer Ethik, die sich den drei Bereichen Migration, Europa und Populismus zuordnen lassen. Die ethischen Herausforderungen, die die internationale Migration mit sich bringt, erfordern das Zusammenspiel nationaler und europäischer Ebenen. Entsprechend ist der große Rahmen der hier versammelten Beiträge eine transnational zu denkende Sozialethik in den Strukturen Europas. Zu den Reaktionen auf die Migration gehört unter anderem der erstarkende Rechtspopulismus, der sich in der Regel dezidiert europaskeptisch positioniert. Insofern ergeben sich aus dem Nachdenken (...) über Europa, Migration und Populismus Spannungsfelder und Argumentationsmuster, die mit grundlegenderen Fragen politischer Ethik verbunden sind. (shrink)

Last September a British chapter of the European Business Ethics Network was launched at an inaugural Conference, “Implementing Ethical Business”, in Cheltenham and Gloucester College of Higher Education. The author of this conference report is the principal consultant of Corporate Social Responsibility Consultants, 28A Tooting Bec Rd., London SW17 8BD.

An initial review of the Draft Guidance produced in response to the Cadbury Report by the Institute of Chartered Accountants in England and Wales. The author is Principal Consultant, Corporate Social Responsibility Consultants, 86 Iffley Road, London W6 OPF.