Continuum Theory

El liderazgo constituye uno de los temas mas complejos y mas estudiados en los últimos años; sobre todo por el papel preponderante que tiene hoy en dia en empresas y organizaciones que buscan transformar el liderazgo en funcion a sus necesidades y la de sus empleados. Para Idalberto Chiaventano el liderazgo es necesario en todos los tipos de organización humana, principalmente en las empresas y en cada una de sus áreas o procesos. Es también esencial en la gestión de las grandes empresas porque el directivo necesita conocer la motivación humana y saber conducir a las personas; es decir, ser líder

A partir de un estudio detenido de algunos de los postulados de las teorías cuánticas y de sus relaciones con el campo electroacústico (Rocha Iturbide, 1999), el autor de este artículo establece un campo comparativo más arriesgado que involucra al campo filosófico de la estética, específicamente el que se relaciona con la música contemporánea de mediados del siglo XX. Se intenta definir una estética cuántica que nos daría como posibilidad el surgimiento de distintos estilos válidos (Zohar 1990), pero haciendo énfasis en los que más se acercan - de manera consciente u inconsciente - a estos principios cuánticos. El resultado de esta investigación le ha permitido al autor establecer una nueva manera para percibir y analizar la música contemporánea, la electroacústica y el paisaje sonoro, así como para crear obras sonoras nuevas dentro de estos distintos ámbitos.

The objective of the thesis is to explore how continuum theory and models can be used to address the complexity of online cultural heritage as evidence, and as a result develop new theoretical dimensions about archives, culture and technologies.
Using a complex, iterative multiple method research design, this study explores YouTube from a continuum perspective as an emergent archival space. The specific continuum model used to develop and analyse the YouTube case study is the Cultural Heritage Continuum Model (CHCM).
Research outcomes include:
• Multiple interpretations of the CHCM and extension of continuum understandings of online cultural spaces.
• Presentation of a new cultural heritage continuum model titled: Mediated Recordkeeping: Culture-as-evidence.
• Interpretation of the Information Continuum Model (ICM) to support research design and knowledge generation.
• Presentation of a continuum-influenced Research Design Model
This research is significant to the archival discipline as it addresses a gap in the research and theory concerning the applicability of continuum theory and continuum models in an emergent, complex social phenomenon as it exists in online cultural heritage. This research also demonstrates that continuum theory can be applied to research design, opening up possibilities for a more critical, inclusive and participatory model for community-based and tools-oriented research in archival science.

This text is closely related to my activities in research on musical-creation — not necessarily composition — and on the continuum, as well as my experience teaching at CEMAMu between 1980 and 1998, where from 2000 to 2001 I was invited as director to lead research aimed at creating a new model for the UPIC system.

Peirce's mathematics and synechism

CONTENIDO

CATHERINE LEGG. Grasping Mathematical Reality

GIOVANNI MADDALENA. “Attraper le geste et pouvoir continuer.” For a New Kind of Mathematical Constructivism

JEFFREY DOWNARD. On the Hypotheses that Lie at the Bases of Discrete Systems of Mathematics: Drawing on Peirce’s Phenomenology

JÉRÔME HAVENEL. Peirce’s Meditations on Continuity: from Transitivity to Topology

MATTHEW MOORE. Peirce’s Prepunctual Continuum

FRANCISCO VARGAS. Modelos y variaciones sobre las ideas peirceanas del continuo

ARNOLD OOSTRA. Peirce y la completitud proposicional

GUSTAVO ARENGAS. Un modelo matemático para la máxima pragmática

Brentano’s theory of continuity is based on his account of boundaries. The core idea of the theory is that boundaries and coincidences thereof belong to the essence of continua. Brentano is confident that he developed a full-fledged, boundary-based, theory of continuity ; and scholars often concur: whether or not they accept Brentano’s take on continua they consider it a clear contender. My impression, on the contrary, is that, although it is infused with invaluable insights, several aspects of Brentano’s account of continuity remain inchoate. To be clear, the theory of boundaries on which it relies, as well as the account of ontological dependence that Brentano develops alongside his theory of boundaries, constitute splendid achievements. However, the passage from the theory of boundaries to the account of continuity is rather sketchy. This paper pinpoints some chief problems raised by this transition, and proposes some solutions to them which, if not always faithful to the letter of Brentano’s account of continua, are I believe faithful to its spirit.
§1 presents Brentano’s critique of the mathematical account of the continuous. §2 introduces Brentano’s positive account of continua. §3 raises three worries about Brentano’s account of continuity. §4 proposes a Neo-Brentanian approach to continua that handles these worries.

In 1995 J.W. Heath asked which exactly n-to-one maps are compositions of exactly k-to-one maps with 1 < k < n . This paper deals with compositions of covering maps. Exactly n-to-one covering maps on locally arcwise connected continua that are not factorable into covering maps of order ≤ n – 1 are constructed for all n's, and characterized in algebraic terms (fundamental groups). They are not proper compositions of exactly k-to-one maps, open maps, or locally one-to-one maps.

Web archiving practices were developed almost 25 years ago and has since evolved into a major field of practice with leading work being done in national libraries and in independent organizations, including the Internet Archive and the International Internet Preservation Consortium (IIPC). Web archiving raises several major and complex challenges for archives,
including how to conceptualize web contents and formats, how to preserve content and make it accessible in a meaningful way, and how to design and deliver policy and processes to identify and support the creation, selection and management of a cultural heritage archive.

In this poster I show something of how information continuum theory helps to explore interconnected and complex dimensions and systems of information and heritage.

How to understand and capture born digital information is the most challenging issue in archival science today. The
revolution of digital technologies allows everyone to contribute, communicate, re-invent and etch out spaces for personal
identity,community andvisualculture.The use of online social media tools,often referred to as Web 2.0,contributes to a
rich born digital cultural heritage, however, in archival science, a space and language for these cultural information
systems does not exist. Within a history prestigious museum spaces and worship of the cultural artefact, online digital
technologies of the every day are being lost to the ephemeral or umbrella-ed into web archiving.

Hilbert spaces are relevant because these extensions of vector spaces are capable of archiving sets of numbers in a structured way such that these data can be retrieved in a well-organized way. Currently, textbooks about Hilbert spaces do not contain a treatise of Paul Dirac's bra-ket combination for quaternionic numbers. This paper shows that the bra-ket combination gives Hilbert spaces a range of unexpected capabilities. The fact that the quaternionic version of the bra-ket combination is practically unknown has a deep impact on the comprehension of the fundamentals of physical reality.

This article aims to explore different fields of Leibnizian philoso- phy in a panoramic and ordered way, starting from mathematics, then consid- ering logic, physics, ontology and finally ending up with metaphysics, with the purpose of pointing out that the Law of Continuity, as it is formulated by Leibniz, provides a guiding thread for understanding and articulating the basic theses that structure these fields.

To the Reader,

Please take note that the claim of this paper's titular lemma corresponds to the presumption of adoption of the percept/concept that in Toto Composition is necessitated by the axiomatic characterizations of fractionality as It relates to monistic suppositions ad hoc Game, games mereologically interactively, appositive and/or subjected to such systemized ephemeralization.

In an ever changing digital world there is a growing realisation that many small things can make up the larger social and cultural whole.
Social media allows almost anyone to create and share content online. Individuals who contribute their small stories directly participate in online culture, providing content for an exponentially expanding collection of data, information and knowledge. Traditional forms of moving image, such
as film and TV, have influenced the formats, content and look of how small stories are being told, particularly on Youtube. Formats and styles from social media have in turn, influenced traditional
mass media genres and content.
As a continuum theorist, I question how these small stories might fit into the world of cultural heritage? In what contexts can these stories be understood? I wonder if there is some way to
understand cultural heritage as it is being made? Rather than look at how archivists deal with social media from within established institutional practices, I want to investigate YouTube from a
continuum perspective to develop an understanding of the ‘archive’ and the ‘record’.

Aristotle describes time as continuous (cf. Phys. 219a 10-15). We argue here, first, that the time’s continuity and magnitude’s continuity differ, even though time’s continuity depends on magnitude: actually a magnitude can be divided, that is, can fail to be continuous, but not time: time can be never actually divided, because an actual division in time would imply something like a real point in which time is denied, and that is impossible according to Aristotle (cf. Phys. 251b 10-28). The only divisions that time as continuous would admit are those made by the soul, i.e. only logical divisions. Secondly, we indicate that time could be considered from two perspectives: a logical –or, in a way, mathematical–, and other in the strict sense real. These two perspectives would be suggested by the distinction of meanings that Aristotle makes about the now (cf. Phys. 219b 10-13). The ontological perspective would show certain nexus between the Aristotle’s analysis of time with those of contemporary Physics.

Amnesia in its various forms is characterized by defects in one or more components of a complex system. Implantation of short-term memory occurs in the hippocampus, while long-term memory is essentially located in the neocortex; these regions are interconnected through complex synaptic structures. In the hippocampus, physiological data show that, as predicted by Hebb, excitatory synapses between nearby excitatory cells become strengthened by simultaneous activation. In contrast with this local process, the preponderance of clinical and experimental evidence indicates that cortical recall of a “memory” is the reconstruction of fragments stored in different synaptically distant brain regions. A mathematical model of memory must reconcile this apparent contradiction as well as explain how many different memories and “ideas” can be assembled within a given anatomical area. Continuum theory, which treats an ensemble of “cell assemblies” or neural networks, offers a step in this direction...

Fedorchuk's fully closed (continuous) maps and resolutions are applied in constructions of non-metrizable higher-dimensional analogues of Anderson, Choquet, and Cook's rigid continua. Certain theorems on dimension-lowering maps are proved for inductive dimensions and fully closed maps from spaces that need not be hereditarily normal, and some of the examples of continua we construct have non-coinciding dimensions.

Please find here a revised version of my topic on the philosophy of time found in the works of Thomas Bradwardine. Here I only begin to sketch out some possible connections between the uses of time in Bradwardine's logic, physics, cosmology, and theology. All of this has been approached from an Augustinian perspective, although I would be happy to eventually put my work into more rigorous conversion with Bradwardine's fourteenth-century context, as well.

I am indebted to Mark Thakkar of the University of St. Andrew's for pointing out that an earlier version of this paper vastly overstated the case for Bradwardine's characterization of the temporal instant as "envious" of eternity. While _simultas_ may bear the sense of something like "envious strife" in Classical Latin, that meaning seems to drop out of Medieval Latin, and would probably not have been intended by Bradwardine in his fourteenth-century context.

spent his formative years untying logical knots at Oxford. The knottiest of those knots were to be found in semantic paradoxes like that of the well-known liar who says, " I am lying to you right now. " In order to unweave these tangled threads, Bradwardine made use of an unloved instrument from the medieval logicians' toolkit: the ut nunc consequence. 1 Often translated as 'matter of fact' consequence, this logical maneuver involved the supposition of a contingent premise which may not hold 'absolutely' (simpliciter) or in every case. Bradwardine embraced the ut nunc consequence as central to his understanding of how the truth of propositions may be judged in relation to their contingent premises. By relating insolubles like the Liar's Paradox back to contingent, material states of affairs, he was able to push past the limits of paradox and ground truth anew in an apprehension of the facts of the matter—at least, as of now (ut nunc). While Bradwardine's idiosyncratic reliance upon the ut nunc has already been established, there remains work to be done on how this dependence of logic on temporality relates to the theological account of time we meet in his De Causa Dei contra Pelagianos. One central claim there is that human matters can perhaps be understood in terms of temporal instants, whereas God must not be so measured, dwelling as He does in the simultaneity of a " super-instantaneous presentiality, " which Bradwardine dubs the " envy [simultas] of the temporal instant. " 2 The goal of this paper is to unearth Bradwardine's underlying philosophy of

O objetivo deste trabalho é discutir o problema da divisibilidade infinita de “corpos”, um problema que era discutido já no período clássico por Aristóteles e sua análise dos paradoxos de Zenão. Nossa hipótese de trabalho é a de que no Tractatus-Logico-Philosophicus Wittgenstein teria apresentado uma possível reformulação desse problema ao tratar da análise de proposições. Uma das teses centrais no Tractatus é a de que toda a proposição tem uma análise lógica completa e esse processo de análise tem de ter um fim. Baseado nisso, nós argumentamos que segue-se necessariamente que os elementos presentes no estado de coisas descritos pela proposição não podem prosseguir sendo subdivididos, uma vez que o processo de análise da proposição que descreve tal estado de coisas é necessariamente finito.