[PeterPrinciple]

It insists the “core distinctions” between Luther and the 16th-century Roman Catholic church “remain between modern-day evangelicals and Catholics despite efforts at reconciliation”.

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And what are those core differences?

1)Truth is tested with the scriptures, not tradition...............

2) God established a new covenant. The temple and old sacrifice/priest system was destroyed.

Heb_8:10 But this is the new covenant I will make with the people of Israel on that day, says the LORD: I will put My laws in their minds, and I will write them on their hearts. I will be their God, and they will be My people.

Heb_10:16 “This is the new covenant I will make with My people on that day, says the LORD: I will put My laws in their hearts, and I will write them on their minds.”

[af_vet_1981]

what are those core differences?
1)Truth is tested with the scriptures, not tradition...............

This assertion is self referencing. "The scriptures" table of contents is not listed in any book of the Bible, especially and significantly not in the Book of Revelation. So then, truth is tested with the scriptures and tradition.