Information Theory

June 24, 2014

In  “Recent Contributions to the Mathematical Theory of Communication”  (University of Illinois Press, Urbana, 1964) Warren Weaver summarised the paradoxical character of Information Theory (as formulated by C. Shannon): “2.2 Information “The word information, in this theory, is used in a special sense that must not be confused with its ordinary usage. In particular, information […]

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Quadratures: Person, Subject, Agent and Object

June 20, 2014

In these  pages I frequently refer to and build upon a structure with four “modes” or “terms” – namely those of Person, Subject, Agent and Object. At its core, this model is not original, and stems from the work of many disparate authors, in different areas of knowledge. For the sake of rigour and completeness, […]

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The Theory of Quaternality

June 18, 2014

More support for the logical basis of the geometry of cognition comes from the American mathematician W.H. Gottschalk (a fact noted by Alessio Moretti in his PhD thesis published in 2009. Gottschalk writes: “It is well-known that every involution in a logical or mathematical system gives rise to a theory of duality; for example, negation […]

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The Law of Complementarity

June 18, 2014

George Spencer-Brown –the creator of a very original “logic of distinctions”—wrote an interesting statement about the Law of Complementarity: “There is no stronger mathematical law than the law of complementarity. A thing is defined by its complement, i.e by what it is not. Ant its complement is defined by its uncomplement, i.e. by the thing […]

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Hegel: Intensive And Extensive Magnitude

June 18, 2014

The correlated terms of intensive and extensive abstraction have another antecedent in the reflections of G.W.F Hegel on intensive and extensive “magnitude.”  The following fragments can be found in Hegel’s “Science of Logic- Identity of Intensive and Extensive Magnitude” – sections 480, 481 and 483: “480. The determinateness of intensive magnitude is, therefore, to be […]

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K. Palmer: “The Inverse Dual Of a System”

June 18, 2014

One of the most important insights made in the realm of Systems Theory was due to Kent D. Palmer in a paper published in  2010. (Source: http://holonomic.net/sd01V04.pdf ). The key paper, under the title “Advanced Meta-Systems Theory For MetaSystems Engineers,” presents a radical reformulation of the relations between the concepts of “system” and “meta-system.” Palmer […]

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Distinctions: Two Kinds of Negative Statements

June 18, 2014

Careless discussion tends to ignore important philosophical criteria, as noted in previous notes and articles in this blog. One of these is the distinction between two basic types of negative statements: true negations, and complements of the predicate. Daniel J. Castellano, a mathematician and historian from MIT and Boston University covers these points in his […]

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J. Maritain on Extensive and Intensive Visualisation

June 18, 2014

In his “A Preface to Metaphysics,” (Fourth Lecture, section 10) Jacques Maritain writes: “I have already spoken of the most important distinction which the ancient drew between abstractio totalis, which I will call extensive visualisation, and abstractio formalis, which I will call intensive or characterising and typifying visualisation. At first intellectual visualisation is as yet […]

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Discontinuity in Language

June 10, 2014

Discontinuity  is manifest in language in the sense that there is a complete separation between the signifier and the signified, between the symbolic and that for which the symbol stands for. This is also called the “arbitrariness of the signifier” (see the work of Ferdinand de Saussure – http://www.revue-texto.net/Saussure/Saussure.html ) The term “arbitrariness” means here […]

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Intensive and Extensive Abstraction

June 9, 2014

“When reflection, turning to the comprehension of chaotic experience, busies itself about recurrences, when it seeks to normalise in some way things coming and going, and to straighten out the causes of events, that reflection is inevitably turned toward something dynamic and independent, and can have no successful issue except in mechanical science. When on […]

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Complete and Incomplete Action

June 9, 2014

When reading the Bhagavad Gita, among the teachings on human action we find a lesson which could not be more contrary to “common sense” as it is conceived today: “The world is imprisoned in its own activity, except when actions are performed as worship of God. Therefore you must perform every action sacramentally, and be […]

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Human Life And Natural Life

June 7, 2014

To what extent is human life natural? To what extent is it natural life? This is the fundamental un-answered question of anthropology. On all sides, on all related sciences there is an assumption that human life is different –either superior or inferior—but essentially different to nature. The presumption is that human life is either extraordinary […]

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A Logical Argument

June 7, 2014

In the Monadologie (1714), G. W. Leibniz writes: “And there must be simple substances, since there are compounds; for a compound is nothing but a collection or aggregatum of simple things.” –  tr. Robert Latta.  (“Einfache Substanzen muß es geben, weil es zusammengesetzte gibt; denn das Zusammengesetzte ist nichts, als eine Anhäufung oder ein aggregatum […]

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Nihilism and Meaning Come Together

June 2, 2014

In “Against Philosophical Appeasement” ( http://www.reocities.com/Athens/Thebes/dcs11.htm ) Anthony and Mary Mansueto write a magnificent indictment of nihilism, which starts as follows: “Nothing is harder for this sceptical age than to believe that the universe ultimately has meaning –except, perhaps, the idea that such a belief is not only warranted, but is in fact commanded, by […]

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Theories of Abstraction

June 1, 2014

Anthony Mansueto has done original and very valuable work on the philosophy of religion, and he has done this while linking his reflection to social and historical questions normally avoided by academics. In the essay “Once Again on the Religious Question” ( www.reocities.com/Athens/Thebes/1593 ) Mansueto restates and explains the essence of his theses also published […]

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On Individual and Collective Empathy

May 31, 2014

It would be naïve to expect a dispassionate stance regarding the matters of the so-called Second Cold War, or even about its reality or the motivations of the crisis. Nevertheless, careful observers of the current debates may be able to see that –to a very large extent—many participants and actors are characterized by something I […]

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The broken “moral unity of man” according to F. Schlegel

May 18, 2014

Only a philosophical study of history may reach to its deeper secrets. In particular, if we seek a meaning, it is essential to look for completeness. Schlegel may be wrong in assuming an original unity of “nations,” but his diagnosis of the status of the mind in the modern world seems right. The following text […]

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Security Lost and Recovered (and 4)

May 7, 2014

A transition to “complete” Security (in the sense described in the previous sections) requires a rediscovery of the context, this complex mesh of relationships through which we live and operate. This change must leverage a recognition of the personal, psychological, organisational and technical aspects. In following this path we need to base the IT disciplines […]

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Security Lost and Recovered (3)

April 29, 2014

A “complete Security” approach –in the sense I introduced in the previous article (http://carlos-trigoso.com/2014/04/28/security-lost-and-recovered-2/ ) applies a modal logic to grasp the fundamental aspects of any Security arrangement. This is a “deontic logic,” i.e. a logic of obligation, prohibition, interdiction and permission, which is able to represent the various moments of a Security model. In […]

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Security Lost and Recovered (2)

April 28, 2014

A “complete” security strategy can be understood if we adopt an “information-theoretical” point of view. To do so, it is useful to describe the approach in the same way as we would consider a business model. A high level model of a business architecture shows the relationships between the participants, and the different functions and […]

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