The Blog-Health-o-Meter™ reads Minty-Fresh™.

Crunchy numbers

The Leaning Tower of Pisa has 296 steps to reach the top. This blog was viewed about 1,200 times in 2010. If those were steps, it would have climbed the Leaning Tower of Pisa 4 times

In 2010, there were 2 new posts, growing the total archive of this blog to 58 posts.

The busiest day of the year was November 14th with 24 views. The most popular post that day was TVs, Tops, and the primary (primordial) self-reference.

Where did they come from?

The top referring sites in 2010 were lawsofform.de, en.wordpress.com, and iswith.info.

Some visitors came searching, mostly for trinity symbol, trinity symbols, the trinity symbol, pilesys, and paul pangaro.

Attractions in 2010

These are the posts and pages that got the most views in 2010.

TVs, Tops, and the primary (primordial) self-reference August 2007
1 comment

Symbols And Borromean Links January 2007
1 comment

Halo June 2006

Pairing function October 2006

Junctions, Perl 6, Haskell, … July 2007

http://alarcos.inf-cr.uclm.es/doc/MetoTecInfInf/Articulos/dyba.pdf

Found in (Anishchenko, Zenkin et al. 2003 – Semantic symmetry of a spiritual)

Please find it in the SVN Repository with the URL: http://data.fieldsofnoise.org/repository/jessicatz/pile.

The main program is pile_test.cpp, the other six files having some resemblance to a “framework”.

Cf. also the thread “Logical Domains in Pile” in the pile development mailing list.

Figure: “primary (primordial) self-reference”

The same visualization could be found in (Westphal 2006 – Freeing Data From the Silos)³, but without the mathematical background provided by Kauffman’s paper.

Kauffman’s visualization of the “primary (primordial) self-reference”, where the aspect of the original self-reference is stressed, has the same qualities as Spencer-Brown’s “mark of distinction”. Besides “mark”, Kauffman denotes the marking, that is given in the form of the arrow here also pointing the way ahead, as “barb” or “pointer” as well. (cf. combinative pointer)

Paß writes on p. 162 quoting Kauffman:

“Therefore, self-reference and the idea of distinction are inseparable (hence conceptually identical).” (…) Die Markierung (“pointer”) wird konstruktiv, insofern mit der Markierung der Raum entsteht, auf den die Markierung verweist. Mehr noch: “the mark points [...] to its own location, and in this process becomes a locus of reference. The mark referes to itself. The whole refers to itself through the mark.” (…)

1Paß, Dominik (2006): Bewusstsein und Ästhetik. Die Faszination der Kunst. Bielefeld: Aisthesis. (http://www.aisthesis.de/titel/3895285889.htm)

2Kauffman, Louis H. (1987): Self-reference and recursive forms. In: Journal of social and biological structures, 10, pp. 53–72.

3Westphal, Ralf (2006): Freeing Data From the Silos. A Relationistic Approach to Information Processing. Available online at http://www.pilesys.com/new/Documents/Freeingdatafromthesilos-Pileexplained.pdf, esp. pp. 13–14.

Perl 6 introduces the concept of junctions: values that are composites of other values. [24] In the earliest days of Perl 6′s design, these were called “superpositions”, by analogy to the concept in quantum physics of quantum superpositions — waveforms that can simultaneously occupy several states until observation “collapses” them. A Perl 5 module released in 2000 by Damian Conway called Quantum::Superpositions [25] provided an initial proof of concept. While at first, such superpositional values seemed like merely a programmatic curiosity, over time their utility and intuitiveness became widely recognized, and junctions now occupy a central place in Perl 6′s design.

(Source: http://en.wikipedia.org/wiki/Perl_6)

Keywords: junctions, composite value, superposition, Perl 6, design

Since the action of joining or being joined is evidently one of the central issues of this blog, a definition of junction might be useful (definition understood as communicative act to describe a phenomenon).

WordNet 2.1 Synonyms Only says:

/noun./ spot, topographic point, place, unification, union, connexion, link, connection, connective, connector, connecter, joining,

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The Quantum::Superpositions module provides a new scalar data structure: the superposition. In a metaphor drawn from quantum mechanics, superpositions store a collection of values by overlaying them in parallel superimposed states within a single scalar variable.
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A junction is a superposition of data values pretending to be a single data value.
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junction – the shape or manner [sic!] in which things come together and a connection is made
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