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Analytically true -
If its truth or falsity can be proven just by its definitions and the use of of logic.
If the negation of the statement results in an incongruity, then the statement is analytically true.
Synthetic -
If the statements truth relies on perspective or subjectivity.
Other statements are synthetic. Coined by Kant.
I’d say: Analytically true - Objectively true. Synthetically true - subjectively true.
-Statement
-Definition 1
-Definition 2
From the perspective of any given used definition: If the statement is true using only logic and the definition, it is considered analytic and true.
Descriptive definition: How words are conventionally used. General.
Stipulative definition: How a word is used in a given case. Case specific.