Example
Origins sciences has two main theoretical systems. Biblical creation which has a 6 days creation, a global flood and a young Earth and General evolution has the Big Bang cosmology, Nebula theory of star and planet formation, Uniformitarian Geology, Abiogenesis and Biological evolution. All other theoretical systems are basically mixtures of these two including old earth creation and theistic evolution.
The key to understanding theoretical systems is that they can only be evaluated internally because they are self contained systems. Different theoretical systems often produce different and even contradictory interpretations for the same evidence so that an interpretation from one theoretical system can not be used to disprove another because an interpretation from one theoretical system may not be valid in another.
Parts of a theoretical system can start out as testable theories and become so entrenched that they loose all testability by being patched to the point where they can absorb any new data. The Big Bang is a good example of this. It has be come so entrenched that there is no mainstream thought of abandoning it because contradicting data is absorbed when possible such as the accelerating expansion of the universe; which was by the invention of dark energy; or ignored such as the relationships between active galaxies and quasars.
Theoretical systems can have concepts in common but while different system may share some concepts while concepts are totally different. They are an unavoidable but little understood part of Science because data is not self interpreting and needs a theory on which to base the interpretation. Unfortunately it is often unclear as to where a testable theory end and theoretical system begins.
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