Linear logic behaves in means of exact determinism, and the binary nature of linear logic systems is essential.
However, this doesn't apply to multidimensional logic.
Then there is multilinear logic, which behaves a bit like both linear as well as multidimensional logic.
The commonalisties and differencies will be summarized in a table in the following section.
Linear logic can be regarded as a onedimensional stream of ideas.
Linear logical systems have merely fixed processes and fixed structures. These systems are more likely to be categorized as a level 1 complexity.
These systems can be illustrated as lines or linear streams without branching.
Multilinear logic can be regarded as a twodimensional stream of ideas.
Multilinear logical systems have merely fixed processes, but tend to offer flexible structures. These systems are more likely to be categorized as a level 2 complexity.
These systems can be illustrated as tree diagrams/ fractals where the flow of interaction lies only in front. The system doesn't rewrite its own processes and therefore the processes are fixed. Interference is only possible within its own system.
Entropy and emergence ratio is 1:0.
Multidimensional logic can be regarded as a two(+)/3dimensional stream of ideas.
Multidimensional logical systems have flexible processes and flexible structures. These systems are more likely to be categorized as a level 3 complexity.
These systems can be illustrated as tree diagrams/ fractal that can finterfere and rewrite its own processes. The flow of interaction isn't only limited to the forward direction. Interference is only possible with itself.
Entropy and emergence ratio is equal, 1:1
Multidimensional+ logic can be regarded as a 3dimensional stream of ideas.
Multidimensional+ logical systems have flexible processes and flexible structures. These systems are more likely to be categorized as a level 3 complexity and above.
These systems can be illustrated as tree diagrams/ fractal that can selfinterfere and rewrite its own processes. The flow of interaction isn't only limited to the forward direction. Interference is possible both to itself as well as subset/superset systems/ "branches".
Entropy and emergence ratio is 1:2.
The direction of interaction has a relation to entropy;
An only forwards direction leads to increase of complexity without emergence (a process of selfsimplification) and thus increases the entropy directly.
A backwards direction of interaction means an indirect decrease of complexity through an increase of complexity, which is the result of emergent behavior. The entropy degree partly gets an indirect factor of inversion.
A phenonmenon was recognized by s group of scientists some weeks ago, in which a special quantum system seems to "move backwards in time" as measured by a decrease of entropy.
This could be possible through the reaction emergent behavior creates; In this case emergence leads to an inversion of the entropy degree, in which a system gets so complex it simplifies itself. This leads to a decrease of relative complexity.
Type of logcial system  Linear system  multilinear system  multidimensional system  multidimensio  nal+ system 

Complexity level  1  2  3  ≥4 
Dimensionality  1  2  3  >3 
Represented by  line  tree diagram/ fractal  tree diagram/ fractal  treediagram/ fractal 
Direction of interaction  only forwards  only forwards  only forwards  both forwards as well as backwards 
Entropy  emergence ratio  0:0  1:0  1:1  1:2 
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