Archive for June, 2006
Yesterday it was the PILE PETER Universe, let’s try a PILE ‘representation’ of a TGraph today. TGraphs, i.e. typed, attributed, and ordered directed graphs, were introduced by (Ebert/Franzke 1995), see the reference at the end of this post.
Our PILE (learning environment) user/agent likes to deal with a TGraph now. The following figure shows A TGraph [...]
Filed under: Graphs, Pile, Space, Terminal value (TV) | Leave a Comment
PILE v0.1 Notation
Talking about the Pile Interactive Learning Environment (PILE) is talking about notation first.
Let there be different kind of entities:
transitions (arcs)
events
responses (actions)
circles (forms)
horizontal dotted lines
In the figure (a) above, we see an arc, i.e. a transition. Transitions are annotated by an event symbol (like a) and an optional response symbol (like x), which are separated by [...]
Filed under: Pile, Space, Terminal value (TV), container | 1 Comment
We rediscover an application of the Cauchy/Cantor Diagonal Method in the area of information systems described by W. T. Hardgrave in the Mid-Late 1970’s.
Filed under: Logic, Pile | Leave a Comment
Please find the abstract draft of a paper, which I'd like to write sometimes , and feel free to comment on this:
The first axiom of Stathis' Multiple Forms Logic serves as starting point to bootstrap a Pile system: All is One, and All contains any distinction. Then we partition the oneness of All over [...]
Filed under: LoF, Logic, Pile, Space | Leave a Comment
Quoted document:
Weston, Paul E. (1966): Counting binary, rooted trees. arboreal numbers of the first and second kind. In: Ryan, Hollis F.; Weston, Paul E. (Hg.): Rooted trees. BCL Report No. 2.0. Urbana Ill., p. 1–26., p. 5.
Filed under: BCL, Visualization | Leave a Comment
Halo
Weston, Paul E.; Tuttle, H. (1967): Data structures for computations within networks of relations. B.C.L. Report No. 67.2, p. 35–37., p. 37.
Filed under: BCL | Leave a Comment
Some clickable line art
to modify my earlier description of bootstrapping a PSystem, which you can find here.
We start with Stathis' first axiom again.
We need two Pile_Objects to define the origin(s) of our two-dimensional Pile Space (short: PSpace). As result, there are two Pile_Objects sitting on a line (the Diagonal of our 2D Cartesian PSpace): #0 [...]
Filed under: Pile, Space, Visualization | Leave a Comment
The RSS feed of this blog- An Other Space
- Jessicatz Fairymeadow’s Pile Implementation
- An open public letter to the “Pile Systems” team (Revisited)
- TVs, Tops, and the primary (primordial) self-reference
- Junctions, Perl 6, Haskell, …
- The Prolog Theorem Prover “mflogic.exe”
- Entailments_Context.mov @ 00:03:30
- Pask’s Entailment Meshes
- Multiple Form Logic revisited (after one year)
- Ralf Westphal’s “Intuitive Data Model”
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