"Certain openness" refers to having a specific level of willingness or readiness to accept new ideas, perspectives, or possibilities. It suggests being open-minded but to a limited extent or in specific situations. Full definition
Business and Economics Dean David Frantz worked closely with Williams, and said, «Venus had a certain openness to learning that we can not teach and we celebrate. (cnbc.com)
A poor country can not advance economically today without a certain openness to foreign research, investment and trade much of which is controlled by the TNCs. (religion-online.org)
This means, however, that discussions about God must have a certain inherent tentativeness, a certain openness to question. (religion-online.org)