Exploring the Use of Complementary Logic in Dimensional Visualization

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In summary, the conversation discusses Complementary Logic (CL) and its potential applications in various fields, such as understanding the flow of time and explaining Escher's artwork. CL involves the concept of symmetry and its ability to deal with non-linearity. The conversation also includes links to PDF files and websites for further study.
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  • #2
The first thing that springs to mind is what does the diagram on page 1 mean?

Actually that's the third thing, the first is 'oh no' the second is that the title needs a better choice of words. Please explain this visualization of yours of logic. I might even be tempted to go so far as to suggest no one else thinks of things like that, but as yo don't explain what is going on that would be a little rash.
 
  • #3
Can CL Describe Motion of Time?

Organic,

If the "methodology" of Complementary Logic can describe two directions of time's flow then I will learn to incorporate it into my research on the origin of matter. Somebody somewhere sometime has to convince me that it is a possibility. Thanks

Antonio
 
  • #4
Hi Antonio Lao,

First, BL and ZL are private cases in CL.

But CL has the built-in ability to deal with non-linearity, by connecting in a coherent way concepts like symmetry-degree that related to information’s clarity-degree.

Please look at: http://www.geocities.com/complementarytheory/ET.pdf
where I construct the natural number by complementary associations between its integral side (its sum) and its differential side (some finite collection of 1’s).

Through this attitude addition and multiplication are complementary operations.

For general overview of my ideas please look at:

http://www.geocities.com/complementarytheory/CATpage.html

Thank you.

Orgainc
 
  • #6
Oh look, more unexplained pictures, fantastic.
 
  • #7
Escher's Logic?

Organic,

Thanks for your replies and the PDF files on CL.

You got me interested to do further study on CL.

I am starting with one question and more later.

There seems to be symmetry embedded in most of Escher's images.
In three dimensions, some of these images do not make any sense.
But in one-dimension, they make sense.

My question is: Can CL be applied to explaning Escher's arts?

Antonio
 
  • #8
Maybe you mean that they make sense in 2D, isn't it?
 
  • #9
That's right.But if all I wanted is just the direction, then 1D is even better for visualization. 1D embedded in 2D and 3D.
 

What is Complementary Logic?

Complementary logic is a type of logic that is used in digital electronics to represent and manipulate Boolean algebra equations. It involves using a set of logic gates to perform logical operations on binary inputs and produce binary outputs.

How does Complementary Logic differ from other types of logic?

Complementary logic differs from other types of logic, such as traditional logic or fuzzy logic, in that it uses a set of logic gates that are specifically designed to complement each other's function. This allows for more efficient and accurate logical operations to be performed.

What are the applications of Complementary Logic?

Complementary logic is used in various electronic devices, such as computers, calculators, and digital circuits, to perform logical operations and make decisions based on binary inputs. It is also used in automation systems, control systems, and information processing systems.

What are the advantages of using Complementary Logic?

One of the main advantages of Complementary Logic is its simplicity and efficiency in performing logical operations. It also allows for the design of more complex digital systems while using fewer logic gates. Additionally, complementary logic circuits have a lower power consumption compared to other types of logic circuits.

Are there any limitations to using Complementary Logic?

While Complementary Logic has many advantages, it also has some limitations. It is not suitable for systems that require analog inputs or outputs, as it operates only on binary inputs and produces binary outputs. Additionally, it is not easily expandable, as additional inputs or outputs would require the use of more logic gates.

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