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And how many words are in the Second and Third Epistles of John? 298 and 294 respectively, so roughly. So let's assume that the ''expected'' frequency of the word "eternal life" in the Epistles is supposed to maintain consistency. So there's somewhat less than three-quarters of a chance that the word "eternal life" should appear once in each (70–71%, to be more exact).
 
And how many words are in the Second and Third Epistles of John? 298 and 294 respectively, so roughly. So let's assume that the ''expected'' frequency of the word "eternal life" in the Epistles is supposed to maintain consistency. So there's somewhat less than three-quarters of a chance that the word "eternal life" should appear once in each (70–71%, to be more exact).
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Or... we could combine the number of words in the Gospel and First Epistle and the number of times the word "eternal life" is used, for precision sake. After all, the editor who posted the doubt about authorship being the same between the First Epistle, and the Second and Third, says that the frequent usage of "eternal life" demonstrates the Gospel and First Epistle were by the same author. So using that as a basis and logical premise... the total number would then be 21,175 (18.658 + 2,517) words total, with the phrase used 24 (18 + 6) times. Dividing the first number by the second one gives about 882.29166..., meaning the word "eternal life" is used an average of once per every ~882 words, with both the Gospel and First Epistle of John factored in. And remember the Second and Third Epistle contains 298 and 294 words respectively, so the probability of the phrase "eternal life" used even once in either of those two Epistles is about 34% and 33% respectively.
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Or... we could combine the number of words in the Gospel and First Epistle and the number of times the word "eternal life" is used, for precision sake. After all, the editor who posted the doubt about authorship being the same between the First Epistle, and the Second and Third, says that the frequent usage of "eternal life" demonstrates the Gospel and First Epistle were by the same author. So using that as a basis and logical premise... the total number would then be 21,175 (18.658 + 2,517) words total, with the phrase used 24 (18 + 6) times. Dividing the first number by the second one gives about 882.29166..., meaning the word "eternal life" is used an average of once per every ~882 words, with both the Gospel and First Epistle of John factored in. And remember the Second and Third Epistles contain 298 and 294 words respectively, so the probability of the phrase "eternal life" used even once in either of those two Epistles is about 34% and 33% respectively.
    
In other words, even by tracking the frequency of the term "eternal life," this metric alone does not soundly prove the likelihood that the Second and Third Epistles were written by a separate author from the First Epistle or the Gospel of John, since a consistent probability calculation shows only a one-thirds chance it would've showed up once in each of the Second and Third Epistles, due to their brief length. Long story short, the math doesn't arrive at a sound conclusion.
 
In other words, even by tracking the frequency of the term "eternal life," this metric alone does not soundly prove the likelihood that the Second and Third Epistles were written by a separate author from the First Epistle or the Gospel of John, since a consistent probability calculation shows only a one-thirds chance it would've showed up once in each of the Second and Third Epistles, due to their brief length. Long story short, the math doesn't arrive at a sound conclusion.
    
Furthermore, when reading the Epistles of John, it's clear that the First Epistle is different from the other two. The First Epistle addresses a more broad audience with a preaching style, while the Second and Third Epistles seem to be letters towards specific people expressing confidence and eager hope. The historical record states that the five Johannine works were all authored by John the Apostle, which I still don't see sufficient/conclusive reason to doubt. —[[User:LT|<code><span style="background:#FF8181">'''LT'''</span></code>]] '''''[[User talk:LT|<sup>(Mark 8:36)</sup>]]''''' Sunday, 17:44, January 1, 2023 (EST)
 
Furthermore, when reading the Epistles of John, it's clear that the First Epistle is different from the other two. The First Epistle addresses a more broad audience with a preaching style, while the Second and Third Epistles seem to be letters towards specific people expressing confidence and eager hope. The historical record states that the five Johannine works were all authored by John the Apostle, which I still don't see sufficient/conclusive reason to doubt. —[[User:LT|<code><span style="background:#FF8181">'''LT'''</span></code>]] '''''[[User talk:LT|<sup>(Mark 8:36)</sup>]]''''' Sunday, 17:44, January 1, 2023 (EST)
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