Is there such thing as one bit of information?

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Discussion Overview

The discussion centers around the concept of a bit of information, exploring whether a single bit can truly exist independently or if additional information, such as location or dimensionality, is necessary for its definition. Participants examine various representations of information, including binary and tally systems, and the implications of dimensionality on the understanding of bits.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that a bit of information requires additional specifications, such as location in a 4D world, implying that one bit may actually represent five bits of information.
  • Another participant counters that a bit can be defined without needing to specify its location, arguing that the information itself can be simply zero or one.
  • There is a question raised about the necessity of describing a bit in a 4D space, with a participant noting that the dimensionality depends on what the bit represents.
  • A participant introduces the tally system as a base one representation of information, claiming it requires fewer settings than binary.
  • Another participant challenges this by suggesting that the tally system is effectively base five, as each 'cell' has five possible states.
  • It is noted that the groups of five in the tally system are for convenience, and each tick represents a consistent value of one, independent of position.
  • One participant mentions the convenience of the tally system in relation to human anatomy, specifically having five fingers.
  • A later reply points out that using fingers introduces positional information, allowing for binary counting, which contrasts with the tally system's lack of positional significance.

Areas of Agreement / Disagreement

Participants express differing views on whether a bit of information can exist independently or if additional context is necessary. There is no consensus on the dimensionality or representation of information, and multiple competing perspectives remain throughout the discussion.

Contextual Notes

Participants do not resolve the implications of dimensionality on information representation, nor do they agree on the classification of the tally system compared to binary. The discussion reflects various assumptions about the nature of information and its representation.

fractalzen
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The smallest unit of information is a bit, which has two possible states. Yet don't you also have to specify the location of this information? So in a 4d world we're talking about 4 + 1 = 5 degrees of freedom, or 5 bits of information to code for just the one bit.

So is there really such thing as one bit of information or is each bit of information really 5 bits?
 
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fractalzen said:
Yet don't you also have to specify the location of this information?
No. You can say "this device [here] stores one bit of information". And this information (not your description of it!) can then be zero or one.
 
Why should it be necessary for a bit of information to be described in a 4d world space?
Depending on what the bit represents it could be in any dimensional world space.
8 bits in a computer memory describe what is called a 'byte', which represents a value in a linear (one dimensional) world space.
We don't need to know where the computer is located in space and time for the information to be meaningful.
 
Isn't this base 5 though rather than base 1?
Here, each 'cell' of information, (or whatever it's called) has five possible states instead of two, so obviously less such cells can indicate a given value.
Take the number 27 for example though, that's just a number out of thin air.
It can be described in binary as 11011, five information cells.
In the tally system it is 5+5+5+5+5+2, 6 information cells to describe the same number.
 
The groups of 5 are just made to make it more convenient to read. Every tick has the same value of 1, independent of its position.
 
Wut mfb said. :wink:
 
It certainly is convenient given that we have five fingers.
 
rootone said:
It certainly is convenient given that we have five fingers.
Well, thing is, as soon as you introduce fingers, you also introduce position. You can count up to 31 on a single hand if you use binary, because each finger has a unique position and therefore can be ascribed a unique meaning.

In the tally system, there are no columns/positions. If there are five marks, then it indicates five, regardless of mark position, proximity or spacing.
 

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