Brief comment on the concept of intrinsic information.
We can observe two types of intrinsic information:
one is within an explicit or an implicit pattern within the structure of the pattern. This may imply or transmit a multitude of meaning depending on the eye of the beholder, the algorithms or context upon which the signal , or pattern, is present and its internal structure, which is observable or derivable. But this first kind depends on richness of structure, there must be some structure that contains the information, and this structure can either be observed or derived from the pattern.
Another kind of intrinsic information, which may be called symbolic intrinsic information, black box information, can occur from a single, in some cases, virtually structure-less or minimal structure signal, which may be indistinguishable from similar signals used to transmit arbitrary information. The structure of that which is represented or how the signal was obtain can be considered hidden and might not be easily derivable at least solely from the signal without context.
The content or intrinsic information of a symbolic nature, is one that emerges as a result of causal relations or correlations. The signal might have correlation with an event, signal, pattern of arbitrary complexity. Though possibly simple in nature, due to its correlation or causal relation that may result from hidden internal computational structure able to perform say complex pattern recognition, this black box element may transmit a clear signal indicating say the present, timing or other characteristic of an arbitrary complexity element. By virtue of its causal relation or correlation with something else, it is a symbol and it represents something, the spatio-temporal correlation with something(be it a pattern or reality), grounds the symbol.
Showing posts with label intrinsic information. Show all posts
Showing posts with label intrinsic information. Show all posts
Wednesday, October 26, 2016
Sunday, October 23, 2016
More comments on the finitude of the possible hypothesis and god state hypothesis of convergence
The number π is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter "π" since the mid-18th century, though it is also sometimes spelled out as "pi" (/paɪ/).-wiki
The Bailey–Borwein–Plouffe formula (BBP formula) is a spigot algorithm for computing the nth binary digit of pi (symbol: π) using base 16 math. The formula can directly calculate the value of any given digit of π without calculating the preceding digits. The BBP is a summation-style formula that was discovered in 1995 by Simon Plouffe and was named after the authors of the paper in which the formula was published, David H. Bailey, Peter Borwein, and Simon Plouffe.[1] Before that paper, it had been published by Plouffe on his own site-wiki
Some have hypothesized that the number pi might contain all possible information within its digit sequence, if I recall correctly, this hasn't been verified, but seems likely given its properties from what I hear.
The formula for generating pi, is an example of what I call an implicit pattern. I call formulas or algorithms that define or describe spatial, temporal, spatiotemporal sequences of elements or digits as implicit patterns. The produced sequences, the raw data I call the explicit pattern. E.G say a particular clothing pattern, there may be an algorithm for producing it, which is a form, implicit, of the pattern, but there is also the raw visual pattern itself, which is more explicit.
The finitude of the possible suggests, that there likely exists a class of implicit patterns that can describe all possible information. Suggestions for these have already likely been made, as the algorithms that are believed capable of generating all computable universes can likely qualify. But there is also the possibility, hinted at, that there is also not just an implicit pattern but an explicit finite pattern that might bind all that is possible, and larger patterns might not offer truly meaningfully more, meaning might peak at a certain finite level, though as said this is hypothetically speaking, it may or may not be the case. If it turned out to be true it would in essence allow for a finite amount of data to in essence allow access to all possible information, probably in some form of procedural generation kind of way.
Regards the hypothesized god state. As I've hypothesized previously, an accumulation of freedom, security and time, has the potential to at the limit grant virtual equivalence with what has been described as god, so I've termed it the god state. Absolute security, Absolute Freedom, Absolute time, grants immortality, omnipotence, omniscience, etc.
If knowledge is absolute, the mind design is the optimal design, and intelligence is at the limit of the possible, and if determinism is true, it would seem that there should be convergence of behavior. Though variations in mind design, as well as minute errors in knowledge before reaching this state could allow for divergence of behavior, as chaos like phenomena might cause minute differences to be magnified and result in unpredictable behavior. There's also the possibility of multiple optimal mind designs that may lead to slightly or even vastly different behavior.
More knowledge is needed regards mind design to know whether there would be convergence or divergence. But my belief is that hypothetically speaking as a being nearrs perfection and becoming the greatest godlike being, there will be convergence. This is why even if many beings attained the state, it is likely it would be like a hall of mirrors and the difference between such beings might not exist, as they'd be instances of the same exact pattern, they would all have all the properties intrinsic to the pattern.
Intrinsic to the pattern, or intrinsic information, refers to all that is implied or carried along with the pattern, properties that come along with an instance of the pattern. For example a specific sequence of characters can be looked in different ways and means different things from different points of view, it may also have an infinite number of implications, all that is intrinsic and part of the pattern. In terms of a spatiotemporal pattern related to a mind, if we assume determinism, there would be causal implications in certain environments and upon passage of time.
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