 |
AXIOMATICS |
|
| |
The Logos primus dia state: |
|
| |
Axiom |
• |
All ideas may be stated as axioms based on functional symeric formulas themselves based on assumptions. |
• |
All axioms may themselves be described as a process of inputs inserted into a function to produce an output. |
|
|
|
| |
Axiom utility |
• |
The utility of an axiom is relative to the purpose and function it is used. |
• |
An axiom that balances inputs to output according to purpose is in harmony (harmonic axiom). |
• |
An axiom that produces less output to input according to purpose is in decay (dissonant axiom). |
• |
An axiom that produces more output to input according to purpose is in growth (dynamic axiom). |
|
|
|
| |
Axiomatic proof |
• |
The proof of an axiom is relative to the purpose and function it is used. |
• |
An axiom that adheres to the rules of EIKOS in its construction and use is true and proof itself. An axiom that does not adhere to the rules of EIKOS is false and unprovable. |
• |
Mathematical rules of proof may not be applied as test of axiomatic proof. |
• |
Only true axioms may be used as proof relative to EIKOS and the UCADIAN model of knowledge. |
|
|
|
| |
Complexity and axioms |
• |
Complex axiom resolve themselves to describe only simple systems. |
• |
Simple axiom resolve themselves to describe both simple and complex systems. |
|
|
|
| |
|
|
| |
|
|
| |
|
| |
Copyright © 2010 UCADIA. All rights reserved.
|
