In my terminology, ‘impression’ is your own sense of what seems true before taking into account other people’s views (unless another person’s view actually changes your own sense) and ‘belief’ is what you would actually bet on, given that you are not vastly more reliable than everyone with different impressions.
For example, perhaps my friend is starting a project, and based on talking to her about it a bit I feel like it is stupid and will never work. But several other friends who work on similar projects are really excited about it. So I might decide that it is probably going to be successful after all, though it doesn’t look exciting to me. Then my impression of the project was that it was unpromising, but my belief is that it is promising.
In my terminology, ‘impression’ is your own sense of what seems true before taking into account other people’s views (unless another person’s view actually changes your own sense) and ‘belief’ is what you would actually bet on, given that you are not vastly more reliable than everyone with different impressions.
For example, perhaps my friend is starting a project, and based on talking to her about it a bit I feel like it is stupid and will never work. But several other friends who work on similar projects are really excited about it. So I might decide that it is probably going to be successful after all, though it doesn’t look exciting to me. Then my impression of the project was that it was unpromising, but my belief is that it is promising.