When you do a math or logic problem you would intuitively use parentheses, allowing the problem to be split into scopes. Use parentheses in your mind and then regard where uncertainty is increased and where it is decreased.
In nearly every circumstance, new information will generate MORE questions. To the untrained mind this may sound like more uncertainty, however in actuality you did not know what questions to ask until some preliminary uncertainty was resolved.
For one scope, uncertainty is resolved, in doing so new domains are revealed.
Uncertainty (or information for that matter) isn't a lump sum that grows or shrinks. One question is resolved revealing more separate and further uncertainties, which are very specific and reduced from chaotic infinity by some resolve . In this case, realizing you didn't actually know that "something" to begin with.
The tendency to jumble these delicate distinctions into a single glob of unknowns obfuscates otherwise simple (however numerous) truths. And by "truth" I mean, anything consistent with existential reality.