How shall the regions and limits of application of the Laws of Identity, Non-contradiction, and Excluded Middle be fixed?
Scientific, philosophical, social, and aesthetic advancements have continuously been made in epochal revolutions and minor changes within epochs. What has / have been the logical background spine behind these changes in terms of logical threshold revolutions during all these millennia?
I do not think that scientific, philosophical, and aesthetic revolutions have not used the foundations of ordinary logic. In this case, the old foundations of logic, especially the Laws of Identity, Non-contradiction, and Excluded Middle, have more or less been used all through these revolutions and changes – both theoretically and practically. The revolutionary achievements in all the human institutions have used them, let alone ordinary conversations and daily thoughts and feelings in human life.
But it is also a fact that time and again the new scientific, philosophical, and aesthetic revolutions have attempted to seek and create new forms of logic. These have been created and developed. This is why we have many forms of logic today.
But have they ever been able to overcome the Laws of Identity, Non-contradiction, and Excluded Middle? Even when the specific logic is considered counterfactual, non-causal, non-classically non-ordinary, etc., their specific foundations have been borne out through the use exclusively of the Laws of Identity, Non-contradiction, and Excluded Middle. This is because any statement, even if it yields only a truth probability, must be considered as true or false before approaching the next step to moving to conclusions.
How then shall the regions and limits of application of the Laws of Identity, Non-contradiction, and Excluded Middle be fixed?
Bibliography
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(4) Essential Cosmology and Philosophy for All: Gravitational Coalescence Cosmology, 92 pp., KDP Amazon, 2022, 2nd Edition.
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