The formalism of abstracted quantum mechanics is applied in a model of the generalized Liar Paradox. Here, the Liar Paradox, a consistently testable configuration of logical truth properties, is considered a dynamic conceptual entity in the cognitive sphere (Aerts, Broekaert, & Smets, [Foundations of Science 1999, 4, 115–132; International Journal of Theoretical Physics, 2000, 38, 3231–3239]; Aerts and colleagues[Dialogue in Psychology, 1999, 10; Proceedings of Fundamental Approachs to Consciousness, Tokyo ’99; Mind in Interaction]. Basically, the intrinsic contextuality of (...) the truth-value of the Liar Paradox is appropriately covered by the abstracted quantum mechanical approach. The formal details of the model are explicited here for the generalized case. We prove the possibility of constructing a quantum model of the m-sentence generalizations of the Liar Paradox. This includes (i) the truth–falsehood state of the m-Liar Paradox can be represented by an embedded 2m-dimensional quantum vector in a (2m) m -dimensional complex Hilbert space, with cognitive interactions corresponding to projections, (ii) the construction of a continuous ‘time’ dynamics is possible: typical truth and falsehood value oscillations are described by Schrödinger evolution, (iii) Kirchoff and von Neumann axioms are satisfied by introduction of ‘truth-value by inference’ projectors, (iv) time invariance of unmeasured state. (shrink)
We show that Bell inequalities can be violated in the macroscopic world. The macroworld violation is illustrated using an example involving connected vessels of water. We show that whether the violation of inequalities occurs in the microworld or the macroworld, it is the identification of nonidentical events that plays a crucial role. Specifically, we prove that if nonidentical events are consistently differentiated, Bell-type Pitowsky inequalities are no longer violated, even for Bohm's example of two entangled spin 1/2 quantum particles. We (...) show how Bell inequalities can be violated in cognition, specifically in the relationship between abstract concepts and specific instances of these concepts. This supports the hypothesis that genuine quantum structure exists in the mind. We introduce a model where the amount of nonlocality and the degree of quantum uncertainty are parameterized, and demonstrate that increasing nonlocality increases the degree of violation, while increasing quantum uncertainty decreases the degree of violation. (shrink)
We support the authors' claims, except that we point out that also quantum structure different from quantum probability abundantly plays a role in human cognition. We put forward several elements to illustrate our point, mentioning entanglement, contextuality, interference, and emergence as effects, and states, observables, complex numbers, and Fock space as specific mathematical structures.
In this paper we concentrate on the nature of the liar paradox asa cognitive entity; a consistently testable configuration of properties. We elaborate further on a quantum mechanical model (Aerts, Broekaert and Smets, 1999) that has been proposed to analyze the dynamics involved, and we focus on the interpretation and concomitant philosophical picture. Some conclusions we draw from our model favor an effective realistic interpretation of cognitive reality.
We put forward the hypothesis that there exist three basic attitudes towards inconsistencies within world views: (1) The inconsistency is tolerated temporarily and is viewed as an expression of a temporary lack of knowledge due to an incomplete or wrong theory. The resolution of the inconsistency is believed to be inherent to the improvement of the theory. This improvement ultimately resolves the contradiction and therefore we call this attitude the ‘regularising’ attitude; (2) The inconsistency is tolerated and both contradicting elements (...) in the theory are retained. This attitude integrates the inconsistency and leads to a paraconsistent calculus; therefore we will call it the paraconsistent attitude. (3) In the third attitude, both elements of inconsistency are considered to be false and the ‘real situation’ is considered something different that can not be described by the theory constructively. This indicates the incompleteness of the theory, and leads us to a paracomplete calculus; therefore we call it the paracomplete attitude. We illustrate these three attitudes by means of two ‘paradoxical’ situations in quantum mechanics, the wave-particle duality and the situation of non locality. (shrink)
Einstein Meets Magritte: An Interdisciplinary Reflection presents insights of the renowned key speakers of the interdisciplinary Einstein meets Magritte conference (1995, Brussels Free University). The contributions elaborate on fundamental questions of science, with regard to the contemporary world, and push beyond the borders of traditional approaches. All of the articles in this volume address this fundamental theme, but somewhere along the road the volume expanded to become much more than a mere expression of the conference's dynamics. The articles not only (...) deal with several scientific disciplines, they also confront these fields with the full spectrum of contemporary life, and become new science. As such, this volume presents a state-of-the-art reflection of science in the world today, in all its diversity. The contributions are accessible to a large audience of scientists, students, educators, and everyone who wants to keep up with science today. (shrink)
Throughout the biological and biomedical sciences there is a growing need for, prescriptive ‘minimum information’ (MI) checklists specifying the key information to include when reporting experimental results are beginning to find favor with experimentalists, analysts, publishers and funders alike. Such checklists aim to ensure that methods, data, analyses and results are described to a level sufficient to support the unambiguous interpretation, sophisticated search, reanalysis and experimental corroboration and reuse of data sets, facilitating the extraction of maximum value from data sets (...) them. However, such ‘minimum information’ MI checklists are usually developed independently by groups working within representatives of particular biologically- or technologically-delineated domains. Consequently, an overview of the full range of checklists can be difficult to establish without intensive searching, and even tracking thetheir individual evolution of single checklists may be a non-trivial exercise. Checklists are also inevitably partially redundant when measured one against another, and where they overlap is far from straightforward. Furthermore, conflicts in scope and arbitrary decisions on wording and sub-structuring make integration difficult. This presents inhibit their use in combination. Overall, these issues present significant difficulties for the users of checklists, especially those in areas such as systems biology, who routinely combine information from multiple biological domains and technology platforms. To address all of the above, we present MIBBI (Minimum Information for Biological and Biomedical Investigations); a web-based communal resource for such checklists, designed to act as a ‘one-stop shop’ for those exploring the range of extant checklist projects, and to foster collaborative, integrative development and ultimately promote gradual integration of checklists. (shrink)
Presented here is the German translation of Jan Patočka’s fragment Nitro a svět which was written in the 1940s and belongs to the so called „Strahov Papers“. The fragment reflects Patočka’s early attempts towards a thinking of subjectivity and the world. Thereby Patočka’s approach is phenomenological, but also integrates motives of German Idealism. The critical impact of the fragment lies in its orientation against the scientific biologism of its times.
To get distracted, to enclose and to give oneself. The Gesture of Transcendence in Jan Patočka The problem of transcendence can be traced throughout the whole work of Jan Patočka. The appeal to transcend our bonds to mere objectivity is a constant issue of his thought. It finds a new substantiation in the 1960s in his studies focusing on the meaning of the other as human being. The relation to the other person offers a special "occasion" or "place" of transcendence (...) and poses the challenge to transcend one's own particular setting. While in the mid-1960s Patočka maintains his earlier dramatic vocabulary to describe the process of transcendence, in the late 1960s his idiom becomes less vehement. Yet, it is precisely within this more "sober" framework that he symbolizes the process of transcendence with an emphatic turn to a "myth of the divine man" and its key metaphor of resurrection. To transcend means, for Patočka, always to liberate oneself from a state of self-distraction between things. However, in his late lectures, he briefly refers to a deeper layer, suggesting that this self-distraction has its "roots" in a self-enclosure or self-isolation, in the exclusive concentration on our own interests and in the illusion of our self-sufficiency. Transcendence, then, means to overcome this self-enclosure by means of a self-forgetting love. Are these rarely mentioned "roots" perhaps implicitly present in all Patočka's accounts of transcendence? (shrink)
This paper describes the work of the Polish logician Jan Kalicki (1922?1953). After a biographical introduction, his work on logical matrices and equational logic is appraised. A bibliography of his papers and reviews is also included.
We define a first-order theory FIN which has a recursive axiomatization and has the following two properties. Each finite part of FIN has finite models. FIN is strong enough to develop that part of mathematics which is used or has potential applications in natural science. This work can also be regarded as a consistency proof of this hitherto informal part of mathematics. In FIN one can count every set; this permits one to prove some new probabilistic theorems.
Scholars from all the continents have written articles to celebrate the seventieth birthday of Jan Srzednicki, a thinker still at the height of his powers. Born in Warsaw on 24 April 1993, Jan Srzednicki divided his energies between his philosophical studies at the University of Warsaw and his service in the underground army. In 1944 he was caught up in the dramatic attempt to liberate Warsaw from the Nazis. Srzednicki's scientific work alternates between problems of Austrian and German philosophy and (...) questions of political philosophy. The papers published in this volume discuss topics of general philosophy, in the clear and deep style both of Srzednicki's own philosophical work and of the Authors investigated in his writings. The topics developed pertain to the fields of epistemology and of logic and philosophy of logic. (shrink)
A unifying framework of probabilistic reasoning Content Type Journal Article Category Book Review Pages 1-4 DOI 10.1007/s11016-011-9573-x Authors Jan Sprenger, Tilburg Center for Logic and Philosophy of Science, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.
The article focuses on the report of the International Workshop on “17th Century Polish Jesuits in China: Michal Boym, Jan Mikolaj Smogulecki, and Andrzej Rudomina” held at the University School of Philosophy and Education in Poland organized by the Monumenta Serica Institute. The author focuses on the Chinese philosophy lecture by Professor Shi Yunli about the influence of Smogulecki on Xue Fengzou, Chinese culture and science and their work on astrology and astronomy.
We analyse the way in which the principle that ‘the whole is greater than the sum of its parts’ manifests itself with phenomena of visual perception. For this investigation we use insights and techniques coming from quantum cognition, and more specifically we are inspired by the correspondence of this principle with the phenomenon of the conjunction effect in human cognition. We identify entities of meaning within artefacts of visual perception and rely on how such entities are modelled for corpuses of (...) texts such as the webpages of the World-Wide Web for our study of how they appear in phenomena of visual perception. We identify concretely the conjunction effect in visual artefacts and analyse its structure in the example of a photograph. We also analyse quantum entanglement between different aspects of meaning in artefacts of visual perception. We confirm its presence by showing that well elected experiments on images retrieved accordingly by Google Images give rise to probabilities and expectation values violating the Clauser Horne Shimony Holt version of Bell’s inequalities. We point out how this approach can lead to a mathematical description of the meaning content of a visual artefact such as a photograph. (shrink)
Aggregation in moral philosophy calls for the summing or averaging of values or utilities as a guide to individual behavior. But morality, it is argued, needs to be individualistic, in view of the evident separateness of persons, especially given the great disparities among individuals who nevertheless interact with each other in social life. The most plausible general moral program is the classical liberal one calling for mutual noninterference rather than treating others as equal to oneself in point of demands on (...) our action. Why, then, would we ever aggregate? The reason is that we are affected by behavior that has general effects, especially unintended side effects, on all sorts of people among whom we ourselves are often to be found. When we are randomly situated among such groups—as we sometimes are and often are not—minimizing aggregate harm is the plausible strategy, and sometimes promoting aggregate benefit as well. (shrink)
The subject of this essay is political, and therefore social, philosophy; and therefore, ethics. We want to know whether the right thing for a society to do is to incorporate in its structure requirements that we bring about equality, or liberty, or both if they are compatible, and if incompatible then which if either, or what sort of mix if they can to some degree be mixed. But this fairly succinct statement of the issue before us requires considerable clarification, even (...) as a statment of the issue. For it is widely, and in my view correctly, held that some sort of equality is utterly fundamental in these matters. We seek a principle, or principles, that apply to all, are the same for all. In that sense, certainly, equality is fundamental and inescapable. But this is a very thin sort of “equality.” It will almost equally widely be agreed that the principles in question should in some more interesting sense “treat” people equally, e.g., by allotting to all the same set of rights, and moreover, rights that are – again we have to say “in some sense” – nonarbitrary, so that whatever they are, persons of all races, sexes, and so on will have the same fundamental rights assigned to them. Taking this to be, again, essentially uncontroversial, though not without potentially worrisome points of unclarity, it needs, now, to be pointed out that this characterization does not settle the issue that this essay is concerned with. That issue is about economic matters in particular. (shrink)
Jan Sprenger and Stephan Hartmann offer a fresh approach to central topics in philosophy of science, including causation, explanation, evidence, and scientific models. Their Bayesian approach uses the concept of degrees of belief to explain and to elucidate manifold aspects of scientific reasoning.
We outline the rationale and preliminary results of using the State Context Property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe the contextual manner in which concepts are evoked, used, and combined to generate meaning. The quantum formalism was developed to cope with problems arising in the description of (1) the measurement process, and (2) the generation of new states with new properties when particles become entangled. Similar problems arising with concepts motivated the formal treatment introduced (...) here. Concepts are viewed not as fixed representations, but entities existing in states of potentiality that require interaction with a context---a stimulus or another concept---to `collapse' to observable form as an exemplar, prototype, or other (possibly imaginary) instance. The stimulus situation plays the role of the measurement in physics, acting as context that induces a change of the cognitive state from superposition state to collapsed state. The collapsed state is more likely to consist of a conjunction of concepts for associative than analytic thought because more stimulus or concept properties take part in the collapse. We provide two contextual measures of conceptual distance---one using collapse probabilities and the other weighted properties---and show how they can be applied to conjunctions using the pet fish problem. (shrink)