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)

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)

Colour word usage within languages follows the same ordering as that proposed by Berlin and Kay between languages. This provides additional validation and support for Berlin and Kay's schema.

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)

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.

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.

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)

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)

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)

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)

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)