Foundations of Information
faculty.washington.edu
faculty.washington.edu
Some distinctions about Data which are not mentioned (or which escaped my skimming) are:
Data is physical (not ephemeral, like information).
Every bit of data can be mapped to a point in 3D space where it is ‘stored’ on some piece of matter (tape, disk, flash memory).
In other words, data has location in space, it can be weighted.
Encoding information as data actually means altering matter (the storage medium - piece of paper, disk tape, CD, RAM) in a way in which we can later infer data by examining the state of the physical storage medium.
And
Data is in time
It has a T0. Every single bit of data that exists ‘appeared’ in space (on storage) at a precise moment in time.
Every bit flip in the stored data has a point in time, so we can derive a 'history' time axis for data.
Data has an implicit refcount - the number of physical storage mediums where it is encoded. Data is lost when the last medium is damaged.
Just planting some seeds in case someone finds these distinctions useful.
Information which is not present in spacetime literally does not exist.
That said, I invite you to communicate some of this other kind of information which exists outside of spacetime to me to demonstrate otherwise.
I'd be waiting here, but alas, without time and space...
Information. https://en.m.wikipedia.org/wiki/The_Information:_A_History,_...
That's probably just a function of my personal interests, though.
>> Entropy is a measurable physical property of a state of disorder, randomness, or uncertainty. For example, the sequence of letters aaaaa has low entropy, conceptually, as it is the same letter appearing multiple times; it could be abbreviated to just 5 a’s. In contrast, the sequence of letters bkawe has high entropy, with no apparent pattern, and no apparent way to abbreviate it without losing its content. Shannon’s view of information was thus as an amount of information, measured by the compressibility of some data.
[0]: https://faculty.washington.edu/ajko/books/foundations-of-inf...
There are indeed references to Shannon. Still nothing about the other stuff, though.
James Gleick (2011). The information: A history, a theory, a flood. Vintage Books.
You might want to refer to the mathematical foundations of
information that is in disagreement since empirical
information is always subject to disagreement.