How do you reconcile that with the effectiveness of science, which works precisely with the kind of reasoning this passage is talking about?
by logical reasoning, by inferential reasoning, by reasoned cogitation, by the acceptance of a view after pondering it
Perhaps by adopting an anti-realistic understanding of science: by telling ourselves that it can never inform us about phenomena in themselves, only about the relationships of phenomena to each other (phenomena that appear to us in the experience).
Reason is then only useful to account for the links of experience, which has primacy.
This series of videos talks about it (especially the first one).
