Short Answer 
Machiavelli contends that rulers may need to resort to cruelty for the greater good, particularly for the security of their subjects. He supports this through logical evidence, including historical examples, arguing that such actions can lead to a more stable and beneficial environment.
Step 1: Understand Machiavelli’s Argument
Machiavelli argues that rulers may need to be cruel if it serves a greater purpose for their subjects, particularly in terms of security. This means that in times of hardship or danger, a ruler’s harsh actions can ultimately lead to a more stable and beneficial environment for the people they govern.
Step 2: Identify Logical Evidence
Logical evidence refers to the use of facts and reasoning to support a claim. It can include different types of evidence such as:
- Anecdotal evidence: personal stories that illustrate a point.
- Empirical evidence: data and research findings that provide factual backing.
- Historical examples: past events used to reinforce a current argument.
In this context, Machiavelli uses historical examples, like the story of Agathocles, to illustrate that cruel decisions can be justified by necessity.
Step 3: Conclusion Supporting Machiavelli’s Claim
Machiavelli’s assertion that rulers can act cruelly is backed by logical reasoning, showing that such behavior, when deemed necessary for the welfare of the state, can be effective. His examples serve as a way to demonstrate these complex ideas, making option C correct as it encapsulates his argument effectively.