His predecessor, Pope Benedict XVI, had been working on this encyclical before he formally abdicated. So which parts of the encyclical were prepared by Benedict, and which by Francis? I do not know, and I do not care. The encyclical was issued in the name of Pope Francis. So as far as I am concerned, it is his encyclical.
This encyclical is addressed to the Roman Catholic faithful. It is not addressed to non-Catholics. As a result, most non-Catholics will probably not be interested in it.
Nevertheless, non-Catholic Americans might be concerned by the following statement toward the end of chapter two in the encyclical: "[T]he magisterium [of the pope and the bishops in communion with him] ensures our contact with the primordial source [of the Roman Catholic faith] and provides the certainty of attaining to the word of Christ in all its integrity."
Now, Aristotle teaches that we can have certainty in the conclusion of a properly constructed syllogism. So here is one syllogism:
Major premise: All men are fallible.
Minor premise: The pope is a man.
Conclusion: Therefore, the pope is fallible.
Here's another syllogism: