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Reasoning that is void of emotions is often referred to as logical reasoning or rational reasoning. These terms emphasize a thought process that relies solely on facts, evidence, and logical principles rather than emotions, personal feelings, or biases. Here are a few related terms:

1. Objective Reasoning
   - This type of reasoning focuses on facts and evidence, aiming to be free from personal feelings, interpretations, or prejudice.

2. Analytical Thinking
   - Involves breaking down complex information or problems into smaller, more manageable parts, and systematically evaluating them.

3. Critical Thinking
   - The process of objectively analyzing and evaluating an issue in order to form a judgment.

4. Detachment
   - Approaching problems and decision-making processes with emotional detachment, focusing strictly on logical outcomes.

5. Empirical Reasoning
   - Based on observed and measurable evidence, relying on experiments and factual data.

6. Scientific Reasoning
   - Uses the scientific method to gather data, formulate hypotheses, and test them in an objective manner.

Examples in Use:
- Logical Reasoning: "Her argument was compelling because it was based on logical reasoning rather than emotional appeal."
- Objective Reasoning: "Objective reasoning led him to conclude that the project was not feasible within the given budget."
- Analytical Thinking: "Analytical thinking helped him dissect the problem into smaller components that were easier to tackle."

These forms of reasoning prioritize evidence and logic over emotions, aiming to reach conclusions that are unbiased and based on sound principles.