Original phrase: "becoming on the value of insistence"
Grammatically incorrect: "becoming on" is not a valid construction - "becoming" is not used transitively in this way.
Contextually vague: "value of insistence" doesn't clearly relate to deontological ethics, making the phrase incoherent in a philosophical context.
Option a: "extending over the ladder of conclusions"
Grammatically incorrect: "extending over" is awkward in this abstract usage; "ladder of conclusions" is a metaphor with no logical denotation.
Contextually disorganised: Doesn't express anything about moral principles or duty.
Option b: "relying in the virtue of obedience"
Grammatically incorrect: Should be "relying on," not "in."
Contextually narrow: While obedience may relate to duty, it oversimplifies deontology, which is about principled obligation, not blind obedience.
Option c: "being centered on the principle of obligation"
Grammatically correct: "Centered on" is standard and clear.
Contextually accurate: Perfectly captures the core idea of deontological ethics - that actions are morally required based on obligation, not results.
Option d: "positioned among the truth of denial"
Grammatically awkward: "positioned among" is not typically used for abstract philosophical concepts.
Contextually not meaningful: "truth of denial" is vague and lacks philosophical relevance here.
Option e: No correction required
Incorrect, as the original phrase is grammatically and contextually flawed.
Hence, option (c) is the correct answer.