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No pope can make an infallible statement about science.

It seems one did. Once again, from the Papal Condemnation of Galileo:

The proposition that the Sun is the center of the world and does not move from its place is absurd and false philosophically and formally heretical, because it is expressly contrary to Holy Scripture.

So what you're saying is that the Pope either thought he was infallible and was wrong, or was knowingly acting outside of his authority.

Which is it?

You are trying to pass off as the words of the Pope the words of a committee of advisors to the Inquisition

Post the words of the Pope. As your source, please use a reputable CATHOLIC one. I ROUTINELY have to spend my time debunking the lies, inaccuracies, errors, stupidities, frauds etc issuing from sites devoted to attacking Jesus

You wrote:

"It seems one did. Once again, from the Papal Condemnation of Galileo:"

There was no papal condemnation of Galileo. These are the men who wrote the inquisitional condemnation of Galileo:

F. Cardinal of Ascoli, B. Cardinal Gessi, G. Cardinal Bentivoglio, F. Cardinal Verospi, Fr. D. Cardinal of Cremona, M. Cardinal Ginetti, Fr. Ant. s Cardinal of. S. Onofrio [Three judges did not sign the sentence: Francesco Barberini, Caspar Borgia, and Laudivio Zacchia.]

The pope allowed the ruling to stand. He made no statement about doctrine WHATSOEVER. Again, please learn history.

Source: Giorgio de Santillana, The Crime of Galileo (University of Chicago Press 1955), pp. 306-310.

"The proposition that the Sun is the center of the world and does not move from its place is absurd and false philosophically and formally heretical, because it is expressly contrary to Holy Scripture."

Never uttered by the pope, and never issued as a doctrine by the Church. This clear (i.e. who is speaking) with the opening line of the document you are quoting but are clearly unable to understand: "...were in the year 1615 denounced to this Holy Office..."

"So what you're saying is that the Pope either thought he was infallible and was wrong, or was knowingly acting outside of his authority. Which is it?"

Which is it? Number 3: Lurker is wrong. He doesn't understand what he's talking about and has been utterly ub=nable to present a logical bit of evidence to the contrary.

The proposition that the Sun is the center of the world and does not move from its place is absurd and false philosophically and formally heretical, because it is expressly contrary to Holy Scripture.

It is also patently absurd scientifically. Ever step back and consider the difference between our Solar System and the entire Milky Way galaxy for example?

The sun is in one of the spiral arms.

Cheers!