Church tradition tells us that most of the 12 apostles were martyred, with the apostle John being the only one considered to die an old death.
Is there any extra-biblical evidence that shows the apostles were martyred?
Church tradition tells us that most of the 12 apostles were martyred, with the apostle John being the only one considered to die an old death.
Is there any extra-biblical evidence that shows the apostles were martyred?
If we count sources written multiple generations after the fact, there is mountains of evidence.
C. Bernard Ruffin has compiled a very thorough review of the traditions passed down by early Christian sources, acknowledging that not all of his sources are of equal weight, and some of the material written down many generations later is likely legendary in nature. His work on the subject can be found here: The Twelve: The Lives of the Apostles After Calvary.
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Solid, early sources
There are 4 men, named as apostles in the New Testament, for whom we have first century attestation of their death as martyrs:
3 of the 4 are attested by extra-Biblical sources.
Of the citations that Hold to the Rod mentions, only the one from Josephus is extra-biblical. {I misread "Rod's" post. Sorry... see his comment below) However, it is also the earliest IMO. This particular James was not strictly speaking an apostle, but he was clearly the leader of the Jerusalem church and called "brother of the Lord." Here's the passage:
...this younger Ananus, who, as we have told you already, took the high priesthood, was a bold man in his temper, and very insolent; he was also of the sect of the Sadducees, who are very rigid in judging offenders, above all the rest of the Jews, as we have already observed; when, therefore, Ananus was of this disposition, he thought he had now a proper opportunity [to exercise his authority]. Festus was now dead, and Albinus was but upon the road; so he assembled the sanhedrim of judges, and brought before them the brother of Jesus, who was called Christ, whose name was James, and some others, [or, some of his companions]; and when he had formed an accusation against them as breakers of the law, he delivered them to be stoned. {J. AJ 20.197}
Josephus also mentions the martyrdom of John the Baptist, who is recognized as a saint but not an apostle.
The OP asks for extra-biblical evidence as distinct from church tradition. This raises the question of the various Acts of the Apostles the tell of their deaths. These are extra-biblical, but they also feed into church tradition. The article "How Did the Apostles Die? What We Actually Know" summarizes them.
The willingness of the apostles to suffer and die for their faith is one of the most commonly cited arguments for the Resurrection. Yet what is the evidence they actually died as martyrs? Two key initial points need to be made. First, the apostles believed that Jesus of Nazareth had risen from the dead because they had seen Him alive after His death by crucifixion. Their convictions were not based on secondhand testimony, but firsthand experience. Second, there is good reason to believe the first Christians were persecuted. The apostles publicly proclaimed the resurrection of a crucified criminal with full awareness of what their actions might cost them.
There are two early and general claims that the apostles died as martyrs. Second-century church father Polycarp and fourth-century Syrian father Aphrahat both claim that the apostles were in fact martyred. Although we may not know the specific identities of the actual lesser-known apostles who were martyred, these two sources provide evidence that some of them were executed for their faith. Furthermore, there is the highest possible probability that Peter, Paul, James (the brother of Jesus), and James (the son of Zebedee) died as martyrs. There is less evidence for Thomas, although his martyrdom is more probable than not. And there is slight positive evidence for Andrew. The evidence for the rest of the apostles is late, legend-filled, and contradictory. We simply don’t know what happened to them. The key, however, is their willingness to suffer and die for their beliefs. The apostles were not liars. They truly believed Jesus had risen from the grave, and they were willing to suffer and die for that conviction.