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, 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)

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)

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)

Complex Systems Biology approaches are here considered from the viewpoint of Robert Rosen’s (M,R)-systems, Relational Biology and Quantum theory, as well as from the standpoint of computer modeling. Realizability and Entailment of (M,R)-systems are two key aspects that relate the abstract, mathematical world of organizational structure introduced by Rosen to the various physicochemical structures of complex biological systems. Their importance for understanding biological function and life itself, as well as for designing new strategies for treating diseases such as cancers, is (...) pointed out. The roles played by multiple metastable states in the “continuous uphill flow of Life” supported through internal bioenergetic processes that are coupled to essential inflows are also discussed in relation to dynamic realizations of (M,R)-systems. Furthermore, the roles played by the underlying, many-valued, quantum logics and symbolic computations for ultra-complex biological systems are also briefly discussed. (shrink)

In the sixth mime of Herodas is described a visit by a woman called Metro to her friend Coritto. After an introduction largely taken up with abuse of Coritto's slave, Metro comes to the point: she asks, . Coritto is furious that knowledge of this precious possession has spread so far, and without answering the question asks where Coritto saw it: the reply is, . Coritto laments the faithlessness of those she thought her friends, but is consoled by Metro, who (...) repeats her question. Coritto now reveals that the craftsman was Cerdon, and describes him and his works: and she was prevented from this last only by the presence of a neighbour's slave. Metro now asks how Coritto got to know Cerdon, and on hearing that it was through Artemeis, she declares her intention of going to see her, to learn more of Cerdon, and departs . The poem ends with Coritto giving orders for the door to be closed and the hens counted. (shrink)

Feeling out of place because he is the only elephant who sings, Little Elephant sets off a journey to find a home where he belongs.

The fourth of Herodas is entitled in the papyrus —a title which very well describes the beginning and end of the poem, but disregards the middle, the most important part. The poem divides naturally into sections as follows: 1–20a; 20b–38, 39–563, 56b–78; 79–95. In we hear one of the women of the title carrying out the offering to the god. This section has been examined in detail by R. Wünsch, ‘Ein Dankopfer an Asklepios’, Arch. Rel. Wiss. vii , 95 ff., (...) who shows that it corresponds closely to the form of prayer used in real life, starting with the invocatio of the god, comprising greeting () and mention of his dwelling-places , family (parents, Koronis and Apollo. (shrink)

In our papers on the rationality of magic, we distinghuished, for purposes of analysis, three levels of rationality. First and lowest (rationalitYl) the goal directed action of an agent with given aims and circumstances, where among his circumstances we included his knowledge and opinions. On this level the magician's treatment of illness by incantation is as rational as any traditional doctor's blood-letting or any modern one's use of anti-biotics. At the second level (rationalitY2) we add the element of rational thinking (...) or thinking which obeys some set of explicit rules, a level which is not found in magic in general, though it is sometimes given to specific details of magical thinking within the magical thought-system. It was the late Sir Edward E. Evans-Pritchard who observed that when considering magic in detail the magician may be as consistent or critical as anyone else; but when considering magic in general, or any system of thought in general, the magician could not be critical or even comprehend the criticism. Evans-Pritchard went even further: he was sceptical as to whether it could be done in a truly consistent manner: one cannot be critical of one's own system, he thought. On this level (rationalitY2) of discussion we have explained (earlier) why we prefer to wed Evans Pritchard's view of the magician's capacity for piece-meal rationality to Sir James Frazer's view that magic in general is pseudo-rational because it lacks standards of rational thinking. (shrink)

Preoccupation with LTP as a putative memory mechanism may have retarded the consideration of pathological modulation of synaptic plasticity in clinical disorders where memory dysfunction is not a primary feature. Encouraged by Shors & Matzel's review, we consider the relationship between stress, synaptic plasticity, and depressive disorder.

Polanyi's and Popper's defenses of the status quo in science are explored and criticized. According to Polanyi, science resembles a hierarchical and tradition-oriented republic and is necessarily conservative; according to Popper's political philosophy the best republic is social democratic and reformist. By either philosopher's lights science is not a model republic; yet each claims it to be so. Both authors are inconsistent in failing to apply their own ideals. Both underplay the extent to which science depends upon the wider society; (...) and neither makes sufficient allowance for the ways it can disrupt the social order. Polanyi even demands extraterritorial exemption for science from the scrutiny of incompetent outsiders. In their different ways, each minimizes the problems of institutionalized science and fails to consider the value, even the long-term necessity, for science of democratic criticism and control. Transnational control of science is an open challenge for democratic polities. (shrink)

Popper holds to the unity of scientific method: any differences between natural and social science are a product of theory, not a pretheoretical premise. Distin guishing instead pure and applied generalizing sciences, Popper focuses on the different role of laws in each. In generalizing social science, our tools are the logic of the situation, including the rationality principle, and unintended conse quences. Situations contain individuals, but also social entities not reducible to individuals: conspiracy theory is the extreme form of individualism. (...) Action in situations has unintended consequences. Both social and natural laws may be required to explain outcomes. The fate of Popper's ideas is a case study in the logic of the situation. Professional philosophers of social science lean toward individualism and a priorism (either intuitionist or rational choice). There are social and political explanations of this outcome, but little critical engagement with Popper's ideas. (shrink)

Wall, G. Locke's attack on innate knowledge.--Harris, J. Leibniz and Locke on innate ideas.--Greenlee, D. Locke's idea of idea.--Aspelin, G. Idea and perception in Locke's essay.--Greenlee, D. Idea and object in the essay.--Mathews, H. E. Locke, Malebranche and the representative theory.--Alexander, P. Boyle and Locke on primary and secondary qualities.--Ayers, M. R. The ideas of power and substance in Locke's philosophy.--Allison, H. E. Locke's theory of personal identity.--Kretzmann, N. The main thesis of Locke's semantic theory.--Woozley, A. D. Some remarks on (...) Locke's account of knowledge.--Laudan, L. The nature and sources of Locke's views on hypotheses. (shrink)

The purpose of this paper is to describe briefly the institutional arrangements which condition the activities of accountants in the United States; to heighten an awareness of the values which are embodied in the existing structures of accountability; to appraise the consistency with which the established ideals of society have been actualised in financial reporting, and to discern the shape of the emerging history of financial reporting in the light of new values and possibilities. I suggest that the tradition of (...) fair presentation in financial reporting is in danger of being eliminated by a purely political response to previous abuses. Mandatory accounting standards do have a role in preventing these abuses, but they can also be seen as instruments of distributive justice. To promote an awareness and discussion of the issues, I point out some of the goals and values underlying a few of the major structures designed for the distribution of economic costs and benefits. (shrink)

The following intellectual as opposed to practical reasons for all anthropologists doing fieldwork are examined: fieldwork: (1) records dying societies, (2) corrects ethnocentric bias, (3) helps put customs in their true context, (4) helps get the "feel" of a place, (5) helps to get to understand a society from the inside, (6) enables appreciation of what translating one culture into terms of another involves, (7) makes one a changed man, (8) provides the observational, factual basis for generalizations. None of these (...) is found sufficient to make fieldwork imperative for all anthropologists, although they are quite sufficient to allow that it is imperative for anthropology as a whole that fieldwork in some form by some people continue. In place of the view of fieldwork as an essential preparation for doing anthropology, an alternative role for it is explored: namely as a testing procedure. The implications of this--that the study of problems and the articulation of theories can usefully proceed prior to or even independently of fieldwork--are drawn out, and a new institution of selective fieldwork is proposed. (shrink)

EVOLUTIONARY EPISTEMOLOGY, THEORY OF RATIONALITY, AND THE SOCIOLOGY OF KNOWLEDGE by Gerard Radnitzky and W. W. Bartley, III La Salle, Ill.: Open Court, 1987. 475 pp., $39.95, $14.95 (paper).

Anthropology, the science of human culture, includes in its scope the anthropology of scientific cultures. Anthropological accounts of these scientific cultures -- which also happen to be the cultures to which most anthropologists belong -- are scarcely adequate. All too often science is assimilated to the practices and thought systems of non-scientific cultures; some anthropologists espousing the anti-scientific methods of symbol analysis and relativism. Arguments of M. Douglas, C. Geertz and F. Hanson are used as critical illustrations.

In his lucid paper “The Objectivity of History” Professor Pass more poses the problem of history's objectivity and seeks to find out in what the objectivity of history might consist. In this note I wish only to criticize his presentation of Popper's views . I think Pass more's failure to report Popper's views correctly causes him to overlook the striking similarity between Popper's conclusion and his own.

John Wyclif’s rejection of the doctrine of transubstantiation has received a considerable amount of attention over the last six centuries. To this day scholars continue to reflect upon it, offering a variety of perspectives on Wyclif’s rationale. This study specifically considers the question in connection with Wyclif’s opposition to the more radical element in the fourteenth-century schools. Vehemently opposed to the reckless application of logical-grammatical methods which had led some to question of the truth of biblical propositions, Wyclif would insist (...) that within Scripture there exist no contradictions; its veracity can never be doubted. And most importantly, Christ himself is truthful; he cannot lie. Hence, when Christ spoke the words «Hoc est corpus meum», he was not positing a deception. (shrink)