Let us see what is the established meaning of "Truth" and "Objective" -the objective truth of these two terms, essentially soul mates. Britannica says about truth "In philosophy, the property of statements, thoughts, or propositions that are said, in ordinary discourse, to agree with the facts or to state what is the case. It is a judgment, proposition, or idea that is true or accepted as true. It is the body of true statements and propositions"
Webster's dictionary defines the term objective like this: of, relating to, or being an object, phenomenon, or condition in the realm of sensible experience independent of individual thought and perceptible by all observers: having reality independent of the mind; expressing or dealing with facts or conditions as perceived without distortion by personal feelings, prejudices, or interpretations. The opposite of objective is subjective. Objective history does not change. It cannot change. Subjective history is unique to the individual and cannot always be correct.
Truth and objectivity go together like a being and its shadow, it will be there when there is the light of enlightenment and it will disappear when there is darkness of ignorance. Truth and subjectivity together will destroy each other, they are intensely opposite to each other. .
In the Allegory of the Ca