A categorical, higher dimensional algebra and generalized topos framework for Łukasiewicz–Moisil Algebraic–Logic models of non-linear dynamics in complex functional genomes and cell interactomes is proposed. Łukasiewicz–Moisil Algebraic–Logic models of neural, genetic and neoplastic cell networks, as well as signaling pathways in cells are formulated in terms of non-linear dynamic systems with n-state components that allow for the generalization of previous logical models of both genetic activities and neural networks. An algebraic formulation of variable ‘next-state functions’ is extended to a Łukasiewicz–Moisil (...) Topos with an n-valued Łukasiewicz–Moisil Algebraic Logic subobject classifier description that represents non-random and non-linear network activities as well as their transformations in developmental processes and carcinogenesis. The unification of the theories of organismic sets, molecular sets and Robert Rosen’s (M,R)-systems is also considered here in terms of natural transformations of organismal structures which generate higher dimensional algebras based on consistent axioms, thus avoiding well known logical paradoxes occurring with sets. Quantum bionetworks, such as quantum neural nets and quantum genetic networks, are also discussed and their underlying, non-commutative quantum logics are considered in the context of an emerging Quantum Relational Biology. (shrink)

A categorical ontology of space and time is presented for emergent biosystems, super-complex dynamics, evolution and human consciousness. Relational structures of organisms and the human mind are naturally represented in non-abelian categories and higher dimensional algebra. The ascent of man and other organisms through adaptation, evolution and social co-evolution is viewed in categorical terms as variable biogroupoid representations of evolving species. The unifying theme of local-to-global approaches to organismic development, evolution and human consciousness leads to novel patterns of relations that (...) emerge in super- and ultra- complex systems in terms of colimits of biogroupoids, and more generally, as compositions of local procedures to be defined in terms of locally Lie groupoids. Solutions to such local-to-global problems in highly complex systems with ‘broken symmetry’ may be found with the help of generalized van Kampen theorems in algebraic topology such as the Higher Homotopy van Kampen theorem (HHvKT). Primordial organism structures are predicted from the simplest metabolic-repair systems extended to self-replication through autocatalytic reactions. The intrinsic dynamic ‘asymmetry’ of genetic networks in organismic development and evolution is investigated in terms of categories of many-valued, Łukasiewicz–Moisil logic algebras and then compared with those obtained for (non-commutative) quantum logics. The claim is defended in this essay that human consciousness is unique and should be viewed as an ultra-complex, global process of processes. The emergence of consciousness and its existence seem dependent upon an extremely complex structural and functional unit with an asymmetric network topology and connectivities—the human brain—that developed through societal co-evolution, elaborate language/symbolic communication and ‘virtual’, higher dimensional, non-commutative processes involving separate space and time perceptions. Philosophical theories of the mind are approached from the theory of levels and ultra-complexity viewpoints which throw new light on previous representational hypotheses and proposed semantic models in cognitive science. Anticipatory systems and complex causality at the top levels of reality are also discussed in the context of the ontological theory of levels with its complex/entangled/intertwined ramifications in psychology, sociology and ecology. The presence of strange attractors in modern society dynamics gives rise to very serious concerns for the future of mankind and the continued persistence of a multi-stable biosphere. A paradigm shift towards non-commutative, or non-Abelian, theories of highly complex dynamics is suggested to unfold now in physics, mathematics, life and cognitive sciences, thus leading to the realizations of higher dimensional algebras in neurosciences and psychology, as well as in human genomics, bioinformatics and interactomics. (shrink)

Common sense, affirmed Ferrier, can neither be set aside nor taken for granted by philosophy. Rather, it must be converted into philosophy, and this "by accepting completely and faithfully the facts and expressions of common sense as given in their primitive obscurity, and then by construing them without violence, without addition, and without diminution into clearer and more intelligible forms". In the period under discussion, the early nineteenth century, the attempt to elucidate the phenomena of mind and their linguistic moulds (...) came under the title of 'mental science' or 'analysis'. More specifically, the process envisaged for this science was inductive, what Dugald Stewart would call a dual operation of analysis and synthesis or Cabanis the method of decomposition and recomposition. Agreement on the use of such a procedure for the philosophy of mind or on the details of the technique employed was never unanimous: in the case of the latter, it had first to be established whether the 'scientist' was dealing at the outset with 'simple' or 'compound' phenomena and whether he was to proceed from the known to the unknown or vice versa. Beneath this controversy lay the roots of an earlier separation between the 'analysis of nature' and the 'analytic of imagination'. Michel Foucault, whose distinction this is, argues that these two directions of analysis begin to converge towards the end of the eighteenth century. But the moment of convergence, being fraught with difficulties for those at the intersection, is less than happy. This uneasiness of mind accounts, moreover, for the strain of conversion in 'Common Sense' philosophy. Nevertheless, where the struggles at the juncture are most intense, there is a commensurate heightening of philosophical awareness. Faintly visible in the first inquiries of Thomas Brown into causality and volition, it reaches a crescendo in his more mature reflections on memory and attention, the nature of consciousness and reflection itself. Emerging with this apprehension, and giving it depth, is Brown's sensitivity to the feelings of selfhood and his belief in the recovery, however imaginary, of the individual's past. That sense of an order to be captured and restored, combined with a recognition of the affections which, more often, reap the havoc of human nature, create in his writings the sort of excitement associated not with the resolution of dilemmas, but with a prolonged, agonizing and continual tension. The subsequent discussion moves towards as it is moved by that realization. (shrink)

This chapter describes the potential far‐reaching consequences of contemplative higher education for the fields of science and medicine.

It is a pleasure for me to give this opening address to the Royal Institute of Philosophy Conference on ‘Explanation’ for two reasons. The first is that it is succeeded by exciting symposia and other papers concerned with various special aspects of the topic of explanation. The second is that the conference is being held in my old alma mater, the University of Glasgow, where I did my first degree. Especially due to C. A. Campbell and George Brown there (...) was in the Logic Department a big emphasis on absolute idealism, especially F. H. Bradley. My inclinations were to oppose this line of thought and to espouse the empiricism and realism of Russell, Broad and the like. Empiricism was represented in the department by D. R. Cousin, a modest man who published relatively little, but who was of quite extraordinary philosophical acumen and lucidity, and by Miss M. J. Levett, whose translation of Plato's Theaetetus formed an important part of the philosophy syllabus. (shrink)

Political corruption imposes substantial costs on shareholders in the U.S. Yet, we understand little about the basic factors that exacerbate or mitigate the value consequences of political corruption. Using federal corruption convictions data, we find that firm-level economic rents and monitoring mechanisms moderate the negative relation between corruption and firm value. The value consequences of political corruption are exacerbated for firms operating in low-rent product markets and mitigated for firms subject to external monitoring by state governments or monitoring induced by (...) disclosure transparency. Our results should inform managers and policymakers of the tradeoffs imposed on firms operating in politically corrupt districts. (shrink)

This book reports the proceedings of the International Congress on the Education of Teachers of Physics in Secondary Schools, held in Eger, Hungary, during September 1970.

Gottfried Wilhelm Leibniz was one of the first Modern philosophers, and as such, one of the most significant. His contributions were often pathbreaking and his imprint still remains on fields such as logic, mathematics, science, international law, and ethics. While publishing relatively little during his life, he was in regular correspondence with important philosophers and even political leaders.

The disconnect problem arises wherever there is ongoing and severe discordance between the scientific assessment of a politically relevant issue, and the politics and legislation of said issue. Here, we focus on the disconnect problem as it arises in the case of climate change, diagnosing a failure to respect the necessary tradeoff between authority and autonomy within a public institution like science. After assessing the problematic deployment of scientific authority in this arena, we offer suggestions for how to mitigate climate (...) change’s particular disconnect problem, as well as more general proposals for reforming science advising. (shrink)

Déjà vu is the striking sense that the present situation feels familiar, alongside the realization that it has to be new. According to the Gestalt familiarity hypothesis, déjà vu results when the configuration of elements within a scene maps onto a configuration previously seen, but the previous scene fails to come to mind. We examined this using virtual reality technology. When a new immersive VR scene resembled a previously-viewed scene in its configuration but people failed to recall the previously-viewed scene, (...) familiarity ratings and reports of déjà vu were indeed higher than for completely novel scenes. People also exhibited the contrasting sense of newness and of familiarity that is characteristic of déjà vu. Familiarity ratings and déjà vu reports among scenes recognized as new increased with increasing feature-match of a scene to one stored in memory, suggesting that feature-matching can produce familiarity and déjà vu when recall fails. (shrink)

Originally published in 1933, in partnership with the Institute of Actuaries Students' Society, this book was written to provide actuarial students with an introduction to the operations of friendly societies. The text is highly accessible, avoiding references to external sources in favour of a more interconnected account of the subject. A concise bibliography is also included. This book will be of value to anyone with an interest in the history of friendly societies.

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)

SummaryJohn Dalton's atomic theory, with its postulate of compound formation through atom-to-atom combination, brought a new perspective to weight relationships in chemical reactions. A presumed one-to-one combination of atoms A and B to form a simple compound AB allowed Dalton to construct his first table of relative atomic weights from literature analyses of appropriate binary compounds. For such simple binary compounds, the atomic theory had little advantages over affinity theory as an explanation of fixed proportions by weight. For ternary compounds (...) of the form AB2, however, atomic theory made quantitative predictions that were not deducible from affinity theory. Atomic theory required that the weight of B in the compound AB2 be exactly twice that in the compound AB. Dalton, Thomas Thomson and William Hyde Wollaston all published within a few years of each other experimental data that claimed to give the predicted results with the required accuracy. There are nonetheless several experimental barriers to obtaining the desired integral multiple proportions. In this paper I will discuss replication experiments which demonstrate that only Wollaston's results are experimentally reliable. It is likely that such replicability explains why Wollaston's experiments were so influential. (shrink)

We report the identification of a recurrent, 520-kb 16p12.1 microdeletion associated with childhood developmental delay. The microdeletion was detected in 20 of 11,873 cases compared with 2 of 8,540 controls and replicated in a second series of 22 of 9,254 cases compared with 6 of 6,299 controls. Most deletions were inherited, with carrier parents likely to manifest neuropsychiatric phenotypes compared to non-carrier parents. Probands were more likely to carry an additional large copy-number variant when compared to matched controls. The clinical (...) features of individuals with two mutations were distinct from and/or more severe than those of individuals carrying only the co-occurring mutation. Our data support a two-hit model in which the 16p12.1 microdeletion both predisposes to neuropsychiatric phenotypes as a single event and exacerbates neurodevelopmental phenotypes in association with other large deletions or duplications. Analysis of other microdeletions with variable expressivity indicates that this two-hit model might be more generally applicable to neuropsychiatric disease. © 2010 Nature America, Inc. All rights reserved. (shrink)