score:3
Disclaimer: my area of academic study is the Synoptic Problem, and I am in the midst of producing a video series arguing in favor of traditional authorship of the Gospels--I engage with many of the critics of Matthean authorship here
I do not fully agree with either Contention 1 or Contention 2, in part because the Bible is made up of 66/73/74+ books, and the evidence for authorship/canonical acceptance is not evenly distributed.
Matthew vs. 2 Peter
Matthew
Every single early source who writes about the origin of the Gospel of Matthew attributes the text to Matthew, the tax-collector turned apostle. Every single early manuscript where the super/subscript survives attributes the text to Matthew. There are 0 exceptions. Centuries of Patristic & manuscript testimony spanning every corner of the Mediterranean are in 100% agreement. Edouard Massaux has shown that the Gospel of Matthew was the most influential and the most extensively used by the early church of all the New Testament texts (source).
The hostile testimony is helpful as well--there are exactly 0 examples of early critics of Christianity disputing Matthean authorship of Matthew (they disagreed plenty over what to make of the doctrine in it, but not over who wrote it). This is particularly helpful given the penchant of writers like Irenaeus & Origen for carefully describing their opponents' views (accurately!) before tearing them to shreds (no joke, read Against Heresies by Irenaeus, he's brutal).
For a logically valid, deductive argument showing that attribution of Matthew to Matthew can be traced back to people who personally knew the apostles, see the link in the header of this post.
The case for Matthew is extensive; the trouble is, we don't have this level of documentation for any Old Testament document, or for any other New Testament document besides some of the letters of Paul.
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2 Peter
Some have said there may be allusions to 2 Peter in 1 Clement; aside from that I find no Patristic usage of this epistle in the first few generations. It shows up in Codex Sinaiticus & in the Easter letter of Athanasius (both 4th century), but it appeared to be on rather shaky ground prior to that time.
Eusebius included 2 Peter in his list of disputed books (see here); Origen was uncertain about its authorship as well (see here). The earliest list of canonical Christian documents, the Muratorian Canon, does not include 2 Peter (see here).
You might say that 2 Peter is the book that almost didn't make it into the Bible.
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If unanimity or near-unanimity among the Ante-Nicene fathers is symptomatic of incontrovertible historical facts, the case for Matthew's inclusion in the canon is rock solid. For 2 Peter, not so much.
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Hebrews
We don't know who wrote Hebrews. The Patristics debate the topic extensively. Perhaps Origen of Alexandria said it best:
But who wrote the epistle, in truth God knows (see HE 6.25.14)
Because Hebrews was extensively quoted by early Christian authors (esp. 1 Clement), it was accepted as apostolic/authoritative despite uncertainty on the identity of the author.
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Does it matter who wrote them?
Historian's standpoint - yes, it matters a great deal to know who authored a text and when, in order to adjudicate the reliability of the text. Secular historians frequently try to discredit the New Testament and our knowledge of the teachings of Jesus by making arguments that up to 20 of the New Testament documents are forgeries/pseudepigrapha. It is not at all uncommon for Seminaries (let alone secular universities) to teach that we don't know who wrote more than 50 of the Biblical books. Biblical apologists have published extensive rebuttals to many of these claims.
Theologian's standpoint - if we have reason to believe in the authority of the text on other grounds, it may not matter.
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Deity
On a % basis, there is greater Patristic agreement regarding authorship of Matthew than there is regarding the nature of Christ. However, a lot more authors wrote about the latter--strictly counting the number of sources, the Deity of Christ is better attested than the authorship of Matthew. It is better attested than the authorship of 2 Peter on either metric.
Most (but I know not all) Christians hold that the Gospel of John unambiguously affirms the Deity of Christ (e.g. John 1:1, 8:58, 10:29, 20:28). If that is true (I believe it is), then the Deity of Christ is far better attested than any canonical dispute. The New Testament itself teaches the Deity of Christ; the New Testament never defines nor delimits a canon.
If Matthew 1:23 affirms the Deity of Christ (I believe it does), then the Gospel of Matthew itself says more about the Deity of Christ than about its own authorship.
As such, I come to the opposite conclusion from that stated in the OP's linked answer: I believe the Deity of Christ is better attested than the contents of the Biblical canon.
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Why we cannot ignore the Ante-Nicene Fathers
As SpiritRealmInvestigator noted here:
In the context of related debates such as … [a variety of theological topics listed]...I think it would be quite helpful to know the views held by the Apostolic Fathers, as they had the unique privilege of receiving direct or almost direct teaching from the Apostles themselves.
That at least some Biblical teachings can lead to more than one well-argued interpretation is demonstrated immeasurably well by this site. I agree that there is value in understanding what early Christian leaders understood–especially considering that it is on their authority that the New Testament was compiled & delimited.
This is not to argue for Patristic inerrancy–they in fact disagreed with each other all the time–but to highlight how singularly significant it is when a supermajority of Ante-Nicene fathers agree on something! Their trust in and usage of the 27 books of the New Testament we have today is the reason these books–and only these books–were repeatedly ratified in the 4th century and later (e.g. Athanasius, Synod of Hippo, etc).
To accept their authority (when nearly unanimous) regarding the contents of the New Testament but to reject their authority (when nearly unanimous) regarding theology is contradictory. There are 2 approaches that permit logical consistency:
Note that I’m only making this argument on matters where there is broad agreement among the Ante-Nicene fathers–there are many topics where they obviously did not see eye to eye and this argument would not apply.
Even the original apostles did not always agree with each other (see Galatians 2), but where they unambiguously hold a consistent position (such as the reality of Jesus’ resurrection), there’s little ground to stand on to try to disagree with them. If Peter & Paul agree on something, that’s pretty solid ground. What about their disciples?
Irenaeus of Lyons & Clement of Alexandria were contemporaries, living on opposite corners of the Mediterranean in the late 2nd century. Irenaeus was from a region where Christianity was planted by Paul (and doubtless influenced by John); Clement was from a region where Christianity was planted by a disciple of Peter (see here). Irenaeus & Clement represent very different strands of Christian thought and their theologies don’t always align (Clement in particular is interesting for his willingness to talk about things Irenaeus doesn’t dare touch).
A useful rule of thumb: when Irenaeus of Lyons & Clement of Alexandria agree on something, we have particularly solid attestation.
If broad agreement among the Ante-Nicene Fathers is symptomatic of historical knowledge that was incontrovertible at the time, it makes an excellent case for trusting the early Patristics when they are nearly unanimous.
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Conclusion
I believe that the evidence for the Deity of Christ is stronger than the evidence for a 66/73/74+ book canon.
I can argue for the Deity of Christ from both the New Testament & the Patristics.
As something of a hopeless nerd for New Testament history (some of my work here, for reference), I claim the following with respect to the New Testament:
Whether on their own knowledge, under the inspiration of God, or (more likely) some of both, the early Christian Fathers managed the process by which a subset of early texts survived and came to be recognized as authoritative. It is disingenuous to simultaneously put confidence in a canon and put no confidence in those who built it. Whether implicitly or explicitly, Christians put enormous confidence in the belief that the apostles taught their disciples well.