If by "scientific conventions" you mean the liberal-utilitarian habits of mind of the educated elite, endowed with the force of law through the political process, and called "scientific" in an illegitimate effort to wrap them in the prestige of empirical investigation
He did not refer to it, but there is conflict between Catholic dogma and scientific conventions on several fronts, including the medical definition of brain death, the legal definition of the beginning of human life and the ethics of embryonic stem cell research.
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