Everything for computers has to be numbers?

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Discussion Overview

The discussion centers around the representation of data in computers, specifically why all information must be encoded as numbers, and whether this is a necessary condition for both computers and human cognition. Participants explore the implications of binary representation, the nature of information processing in the brain, and the potential for alternative systems.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants assert that computers can only process two states, represented as 1 and 0, and that all data must be converted into this binary format.
  • Others propose that human cognition may also be fundamentally numerical, as brain activity can be expressed through electrical and chemical signals, albeit in a more complex manner than simple binary.
  • A participant notes that while digital computers operate on binary principles, the brain may function through both digital and analog processes, suggesting a more intricate model of information processing.
  • There is a suggestion that the question of data representation might be more appropriately discussed in the context of neuroscience rather than computing.
  • Some argue that the ability to express brain functions mathematically does not imply that the brain operates solely on numerical principles, emphasizing the complexity of neural connections.
  • Another viewpoint highlights that the simplicity of binary states allows for the creation of complex systems, and posits that life may inherently favor efficient simplicity in its processes.
  • One participant challenges the notion that the numerical representation of data is a natural condition, suggesting it is a pragmatic choice made by humans.
  • It is mentioned that analog computers exist, which operate on principles different from digital computers, indicating that not all computational processes are inherently numerical.

Areas of Agreement / Disagreement

Participants express a range of views on the necessity of numerical representation in computing and cognition, with no clear consensus reached. Some agree on the binary nature of digital computers, while others contest the implications for human cognition and the existence of alternative computational models.

Contextual Notes

The discussion touches on the limitations of current understanding regarding the brain's processing methods and the definitions of information representation, without resolving these complexities.

jd12345
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Everything for computers has to be numbers??

Why every data, every information has to be represented in numbers for the computers. For us humans, we can take in data in various forms(or is it?). But for computers be it anything it is represented in numbers. Isn't there any other way?

Hope question makes sense. I am having an itch but can't really express my doubt
 
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Computers can only process and store 2 states, On or Off. These are referred to numerically as 1 and 0 respectively.

So computers therefore only understand 1s and 0s being input into them. Any data that is entered into the computer that is not a 1 or 0 has to be decoded into a series of 1s and 0s before it can be processed.

For characters in the alphabet and symbols the computer uses a code system to represent each character or symbol in binary. there's 3 main ones of these are: ASCII, http://en.wikipedia.org/wiki/ASCII , EBCDIC used by IBM mostly:, http://en.wikipedia.org/wiki/EBCDIC and Unicode which allows a much larger character set to be used: http://en.wikipedia.org/wiki/Unicode
 


Consider this(I don't know if I am right or wrong but still) :- For us all the information/data in our brain is ultimately electrical/chemical signals. We can express these electrical/chemical signals numerically(although not simply 1 or 0 ... a little more complex). So in a way we also understand only numbers?
 


jd12345 said:
Consider this(I don't know if I am right or wrong but still) :- For us all the information/data in our brain is ultimately electrical/chemical signals. We can express these electrical/chemical signals numerically(although not simply 1 or 0 ... a little more complex). So in a way we also understand only numbers?
Just because digital computers behave in a certain way does not necessarily mean that that is how brains operate. Brains apparently have some aspects that are digital, others that are analog. For example, see http://news.yale.edu/2006/04/12/brain-communicates-analog-and-digital-modes-simultaneously.
 


jd12345 said:
Consider this(I don't know if I am right or wrong but still) :- For us all the information/data in our brain is ultimately electrical/chemical signals. We can express these electrical/chemical signals numerically(although not simply 1 or 0 ... a little more complex). So in a way we also understand only numbers?

Your question would probably be best asked in the Medical Science forum: https://www.physicsforums.com/forumdisplay.php?f=149 , since its starting to stray from the realm of computers and getting into neuroscience.

I'll try my best to answer though, as far as I remember from biology class, the brain stores memories by rearranging the connections of the neurones so its not the actual action of the neurons and the electric / chemical signals but how they are connected and arranged.
 
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Yes please move it to the appropriate forum. I don't know where this belongs.
Anyways point was whatever way - digital or analog the brains appropriate it can be represented as numbers right? So even for us everything at a lower level can be expressed as numbers
 


In a sense yes, it is possible to express what our brain does in mathematical terms but remember, mathematics is a language that was built to model the real world. So essentially, if it happens in the real world, it should be possible to express it using mathematics.

I don't mean to take away any sense of awe or wonder, I'm not trying to that but I don't think this is anything special about this. It's exactly what math is meant to do, create model's that represent the world around us. Computer's can only understand and process two states, either there is a current (on) or there isn't (off) which can be mathematically represented as 1 or 0. This very effectively models what a computer does. We can apply a similar system, albeit more complicated, to model our brain.
 


It's easy to have computers express everything in numbers. Because with binary states, 0's and 1's, you can string together these two simple states in order to create any number you want, you just have to convert it to our base 10 system.

"Complexity arises from ordered simplicity." That is to say that using just two states 0's and 1's, we can create almost any simulation possible.

Imagine trying to create a computer that uses DNA, you would have 4 states, A,T,C, and G, each standing for a simple nucleobase. Remmember that DNA is a molecule that encodes genetic instructions that are essential for the development of life. Notice the similarity to computers. Computers do just that, they follow explicit instructions using only a few fundamental components.

I believe that life finds the most efficient path to sucess, that would be through simplicity. And that is why computers are the way they are.
 


My take; Its humans that project the quality of a number onto the physical states that computers use. This is a pragmatic thing to do, not a natural or inherent thing to do.
 
  • #10
The above are describing digital computers. There have been analog computers built. Biologic thought is done by some complex analog or chemical method far more intricate than any computers.
 

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