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Page 4239 of Mathematical Reviews Vol. , Issue 2001F [page]

2001 Mathematical Reviews  
One of the reasons for the absence of a universal measure of entanglement for mixed states is the non-uniqueness of their de- composition in terms of pure states.  ...  (p) different pure states, where R(p) is the rank of the density matrix. The number of different pure states that form a decomposition is the cardinality of the ensemble, /(p).  ... 

Surmounting the Cartesian Cut Through Philosophy, Physics, Logic, Cybernetics, and Geometry: Self-reference, Torsion, the Klein Bottle, the Time Operator, Multivalued Logics and Quantum Mechanics

Diego L. Rapoport
2009 Foundations of physics  
of classical connective Boolean logic.  ...  Thus, from a primitive distinction in the vacuum plane and the axioms of the calculus of distinction, we can derive by incorporating paradox, the world conception succintly described above.  ...  Ioannis Antoniou for their kind support that enabled my participation at IARD 2008, and to the former for showing me a simple example of a four-state logic that verifies the rules of Boolean algebra.  ... 
doi:10.1007/s10701-009-9334-5 fatcat:s5t4f2t3bzcofozjkivjdoshyu

A Biologically Informed Hylomorphism [chapter]

Christopher J. Austin
2017 Neo-Aristotelian Perspectives on Contemporary Science  
in theories of causality and modality, a central Aristotelian concept has yet to be given serious attention -the doctrine of hylomorphism.  ...  This is a pre-print version of A Biologically Informed Hylomorphism,  ...  Acknowledgements With thanks to audiences at both Oxford and Cambridge, and to the editors of this volume for their invaluable feedback on earlier versions of this paper.  ... 
doi:10.4324/9781315211626-9 fatcat:ud3v3mfdxfhj5iuamhqk7ynqmy

Special review: Lewin's principles of topological psychology

Edna Heidbreder
1937 Psychological bulletin  
of topological psychology as a particular form of ‘ constructive’ thought.  ...  This is, in his own terminology, the Galilean as opposed to the Aristotelian method—or rather, a special form of the Galilean method constituted by the use of topological concepts in psychology.  ... 
doi:10.1037/h0052839 fatcat:deicua6fk5ft5cbs3myyemfhsq


James Franklin
2009 Philosophy of Mathematics  
The skill in non-deductive logic required of a supervisor is high.  ...  This is to accept a role for non-deductive logic.  ...  This is an example of the general non-deductive principle that non-trivial consequences of a proposition support it. 3.  ... 
doi:10.1016/b978-0-444-51555-1.50007-9 fatcat:75qhxv2akrdadamgef7nqampz4

The critics of paraconsistency and of many-valuedness and the geometry of oppositions

Alessio Moretti
2010 Logic and Logical Philosophy  
, which could be a very natural (and intuitive) geometrical counterpart to the "strange", new, non-Suszkian logics of Malinowski, Shramko and Wansing.  ...  By a similar move, the geometry of opposition therefore sheds light both on the foundations of paraconsistent logics and on those of many-valued logics.  ...  The author wishes to thank the "School of Philosophy, Anthropology and Social Inquiry" (University of Melbourne) for a student subsidy (reimbursement for sponsored trip to the WCP4 2008), as well as an  ... 
doi:10.12775/llp.2010.004 fatcat:rn7d7ay2mnexphnrh74zaaehwq

Topology and Biology: From Aristotle to Thom [chapter]

Athanase Papadopoulos
2019 Geometry in History  
More generally, he considered that some of the assertions of the Greek philosophers have a definite topological content, even if they were written 2400 years before the field of topology was born.  ...  René Thom discovered several refined topological notions in the writings of Aristotle, especially the biological.  ...  Part of this paper was written during a stay at the Yau Mathematical Sciences Centre of Tsinghua University (Beijing).  ... 
doi:10.1007/978-3-030-13609-3_2 fatcat:fjxtc46fn5enfbb3df4yivxksi

Topology and biology: From Aristotle to Thom [article]

Athanase Papadopoulos
2018 arXiv   pre-print
More generally, he considered that some of the assertions of the Greek philosophers have a definite topological content, even if they were written 2400 years before the field of topology was born.  ...  René Thom discovered several refined topological notions in the writings of Aristotle, especially the biological.  ...  Part of this paper was written during a stay at the Yau Mathematical Sciences Centre of Tsinghua University (Beijing).  ... 
arXiv:1811.09090v1 fatcat:sc55ocnzgjdglllw6mkdlqigwm

The Continuity of Peirce's Thought

Ralf Müller
1999 International Philosophical Quarterly  
This article aims to demonstrate that a careful examination of Peirce's original manuscripts shows that there are five main periods in Peirce's evolution in his mathematical and philosophical conceptualizations  ...  of continuity.  ...  The main philosophical interest of a definition of continuity within point-set topology is that it is a satisfactory topological framework to deal with an Aristotelian continuum.  ... 
doi:10.5840/ipq199939213 fatcat:vki3mgihjncpxkr6pzlryp24jq

Logics for Physarum Chips

Andrew Schumann, Krzysztof Pancerz
2016 Studia Humana  
The logics of the second group are unconventional and deal with non-well-founded data such as infinite streams.  ...  As a result, we deal with a kind of computing. The first group of logics for Physarum Chips formalizes the plasmodium behaviour under conditions of nutrient-poor substrate.  ...  We would like to express our especially warm gratitude to Andy Adamatzky, the leader of the projectthe collaboration with whom was very interesting and promising for us.  ... 
doi:10.1515/sh-2016-0002 fatcat:etwgccd5sbhhleg33nf6bfmn2y

Does Human Soul Have an Owner?

Basil Lourié
2019 Scrinium  
AbstractIn the mainstream anthropology of Byzantine patristics, the human "I" is twice inconsistent, being identical to but different from a "part of God" and, in the created world, being not a something  ...  while without being a nothing.  ...  basic opposition is the subcontrary one, and the Aristotelian "law" broken in this case is that of non-contradiction: A is both A and non-A (each of the three hypostases is both perfectly 14 See, for  ... 
doi:10.1163/18177565-00160a03 fatcat:zht7xxnofbbk5kdhyhek62u7ta

A Constructive Treatment to Elemental Life Forms through Mathematical Philosophy

Susmit Bagchi
2021 Philosophies  
The formalisms of predicate logic, probabilistic inference and homotopy theory of algebraic topology are employed to construct a structure in local time-scale horizon and in cosmological time-scale horizon  ...  Platonism, Aristotelian logism, neo-realism, monadism of Leibniz, Hegelian idealism and others have made efforts to understand reasons of existence of life forms in nature and the underlying principles  ...  Conflicts of Interest: The author declares no conflict of interest.  ... 
doi:10.3390/philosophies6040084 fatcat:vt7va7j2djdnvlzmeuvwzmnmau

Sexual topologies in the Aristotelian cosmos: revisiting Irigaray's physics of sexual difference

Emanuela Bianchi
2010 Continental Philosophy Review  
She calls for a reconfiguration of this topological imaginary as a precondition for an ethics of sexual difference.  ...  This paper returns to Aristotelian cosmological texts to further investigate the topologies of sexual difference suggested there.  ...  Acknowledgments A version of this essay was presented at the Irigaray Circle, Stony Brook Manhattan, New York, September 2006, and was vastly enriched by the feedback received there.  ... 
doi:10.1007/s11007-010-9149-2 fatcat:ahfwfifzovdabmmavo5tinfj3a

Complex knowledge modelling with functional entity relationship diagrams

Diarmuid J. Pigott, Valerie J. Hobbs
2011 Vine: The Journal of Information and Knowledge Management Systems  
We further describe extensions to the FERD that permit modelling of resources that cannot be represented by traditional propositional form, and extensions relevant to large-scale documentation.  ...  Modelling complex knowledge resources can be problematical as there is currently no formalism that can represent the nature of the data-seeking process at a conceptual level.  ...  Non-Aristotelian Functional Entities The traditional form of logic (Aristotelian) rested on three principles -of identity, non-contradiction and excluded middle -called the "Laws of Thought" (Boole, 1958  ... 
doi:10.1108/03055721111134817 fatcat:frsprvpq2jennln654df2qx7uu

Musical Works as Assemblages

Paulo de Assis
2020 La Deleuziana  
This article sketches a new image of musical works, situated beyond the «work concept», critically rethinking existing music ontologies, and grounded on Gilles Deleuze's central ontological commitments  ...  After situating the problem (1), the paper discusses current issues in music ontology (2), explores specific Deleuzian and Deleuzo-Guattarian ontological concepts (3), and argues for a new image of musical  ...  of a recording or concert, or an active performer of the music (or a non-human for non-human forms of expression).  ... 
doaj:87bd3c47eb054fe29fbe65f0c035d6c3 fatcat:dzhbxz7d75dl7fyzh4c34zirsq
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