Emphasizing open-mindedness:
* Equanimous: Calm and even-tempered, able to consider different perspectives without bias.
* Discerning: Able to make good judgments based on careful observation and understanding.
* Open-minded: Willing to consider new ideas and information.
* Objective: Free from personal bias or prejudice.
* Broad-minded: Tolerant and accepting of different views.
Emphasizing understanding of facts:
* Informed: Having a thorough knowledge of a subject.
* Knowledgeable: Having a deep understanding of a subject.
* Well-versed: Having a thorough understanding of a subject.
* Scholarly: Characterized by or showing deep knowledge.
Combining both:
* Insightful: Having the ability to see and understand things clearly.
* Perceptive: Having the ability to understand and appreciate complex situations.
* Astute: Having or showing an ability to accurately assess situations or people and turn this to one's advantage.
* Sagacious: Having or showing keen mental discernment and good judgment.
The best word to use will depend on the specific context and what you want to emphasize.