In my new book The Obsolete Paradigm of a Historical Jesus I show mathematically why we are so confident in the existence of most ancient persons, and why we get different results for Jesus when we hold him to the same standard as everyone else—in the second section of chapter six, starting with Socrates and moving down the line all the way to mundane figures like Pontius Pilate and fabulized heroes like Apollonius of Tyana (whose existence is not as certain, but even then still more than Jesus). Two general facts intrude.

  • First, the people we are certain of are usually mundane people with only some legendary development; while the people we expect don‘t exist tend to be heavily mythologized superheroes. This places them in a different reference class, because we expect mundane people to exist (they usually do), but we don’t expect superheroes to exist (they usually don’t).
  • Second, the people we are certain of usually have substantially better evidence for their existence than we have for the likes of Jesus—which means, evidence very unlikely to exist unless they did. We usually even have direct contemporary evidence, often eyewitness evidence, sometimes even archaeological evidence (coins, inscriptions, even original documents).

Such evidence can include their own self-witness—for example, we have the writings of Josephus and they are credibly real, unlike the letter of Jesus to Abgar or most (but maybe not all) of the letters attributed to Apollonius. We lack that for Jesus—as also for Socrates, but for Socrates we have a lot of the other kinds of evidence. And even when we lack that other evidence (which is rare), we might still have something we don’t have for Jesus: credible testimonies and historical accounts within a century—narratives from rational historians known to use effective standards of research, who may even tell us their sources, or corroborate other evidence we have (like attesting that Josephus was famously attached to the Flavians or did indeed write what we have from him: which we have not just from Origen, Clement, Theophilus, and Tertullian, but also Felix and Dio, and even, in part, a contemporary of Josephus, Suetonius); or quotations of these accounts from later authors (e.g. we have later quotations of lost writings by Appian, Irenaeus, and Hippolytus also attesting Josephus and his writings), all going back to within a hundred years of Josephus. I document and discuss many different examples of this kind of evidence in chapter six of OPH.

But even when we lack any of this, if the person is a mundane figure (not someone heavily mythologized or appearing only in myth or fiction), based on precedent, we know they probably did exist (well enough even if not certainly), as long as there is no evidence calling that into doubt (as there is for Jesus or even Apollonius). Whereas, based on precedent, superheroes usually didn’t exist, so we need evidence to believe one of them an exception, rather than the other way around. Thus we don’t need additional evidence for mundane persons for whom no evidence exists to doubt them. But we do need additional evidence for superheroic persons, as in every other case that is already sufficient to doubt them. Yet even though we don’t need it, we often do have this additional evidence for those we’re confident existed. But we don’t have it for Jesus.

So What about Aristotle?

Everyone keeps trying new ones. I call this the Argument from Spartacus because that was the first one I encountered (and refuted) long ago (see Okay, So What about the Historicity of Spartacus?). But as soon as you embarrass anyone making this argument, they retreat to someone else, desperately trying to find “someone” historians are confident existed who rescues the argument. But there isn’t anyone. Anyone you pick is either not confidently conceded to exist by historians, or has better evidence attesting them than Jesus (even if just from the fact of being nonmythological). I now include Alexander the Great and Mithradates of Pontus as examples: heavily mythologized persons (thus starting with reasons to doubt them) who are very well attested by evidence (thus overcoming any initial doubts), evidence that does not exist for Jesus. Even Apollonius of Tyana has better evidence than we have for Jesus, and his existence is close to doubtable (there is no high confidence there—I run the numbers in OPH).

Lately someone retreated in desperation to claiming “Aristotle” wins the argument—that Jesus is “better” attested than Aristotle. But they’re clearly an amateur who doesn’t know how evidence works. Because they argue from manuscript dates rather than pertinent evidence. No mainstream historian doubts anything in antiquity merely from the lateness of surviving copies of it. And we don’t have this for Jesus anyway. Early manuscripts of myths about Jesus cannot prove he existed any more than they could Hercules or Apollonius. This fallacious argument is similar to the one made to attempt a claim that we have better evidence for Jesus than Julius Caesar. No, we don’t. See Is Evidence for Jesus Really as Good as for Caesar? where I already refuted this entire approach. Manuscript dates don’t bear much on anything here. The historicity of texts can be internally and externally corroborated without early manuscripts. The entire fields of ancient history and classics have concerned themselves with that very process.

The remainder of their arguments are equally bogus, reflecting amateur apologetics rather than professional historical reasoning. Arguments from consensus are fallaciously circular. A consensus relying on no legitimate evidence does not thereby create evidence to cite (see On Evaluating Arguments from Consensus). And like manuscripts, testimonies to the existence of myths about Jesus (as for example from Tertullian) cannot attest that Jesus was historical. That’s not even logically possible. All that does is confirm the myths existed then. Which we all agree on—even the most radical skeptics in the profession today. We need something more than that (see the examples I survey for Apollonius in OPH).

Likewise, “archaeological findings confirm numerous places” etc. which “reinforce the New Testament’s historical reliability” is a non sequitur. Ancient myth and fiction can easily get readily accessible background knowledge right when constructing their stories (see How We Know Acts Is a Fake History). They exhibit little interest in narrative realism beyond that (see All the Fantastical Things in the Gospel according to Mark, for example) and get things wrong when they no longer care to get it right (there is no evidence of Herod committing genocide in Bethlehem yet would be; Pilate would never have had a custom of releasing murderous traitors on holidays; Mark gets the Pharisees completely wrong—most would actually have agreed with Jesus; and so on and so on). So in any final analysis the Gospels do not have any markers of reliability. They actually tick almost every box for unreliable narratives in antiquity.

And yet that’s all this Christian apologist had. Let’s compare it with what we have for Aristotle.

Difference in Prior Probability

First, of course, Aristotle is not a mythologized superhero like Hercules, Osiris, Moses, or Jesus. So unlike Jesus he starts out already more probably than not a real person. For mythologized superheroes I concluded a maximum prior probability of 1 in 3 in my original study, and this has since on new data come down to 1 in 4 (or 25%; really 26% but here I’m rounding to the nearest whole). But for mundane persons (like generals, administrators, scholars) it’s closer to 5 in 6 (over 80%). Neither is a certainty (lots of superheroes will have really existed if 25% did; and lots of regular people will not have existed if 20% didn’t). But they sit on opposite sides of likelihood here. If there is only a 25% chance Jesus existed, he probably didn’t (even if he still reasonably could have). But if there is an 80% chance Aristotle existed, he probably did (even if he still reasonably could not have). In reality the prior for Aristotle would be higher (here I am using the most unfavorable lower bound of the error margin) while for Jesus it would be lower (I am using the most favorable upper bound of 1 in 4, which is 3 to 1 against).

So we’ll set the priors here at 5/1 (five times more likely Aristotle existed than not, on precedent alone) and 1/3 (three times more likely Jesus didn’t exist than did, also on precedent alone). That’s 80% to 25% (~83/17 = 5/1; and 25/75 = 1/3).

But Aristotle is way better off than that. The odds on any thing being true equals the prior odds times the consequent odds. The consequent odds make the “likelihood ratio,” the ratio between the probability of the evidence consequent to the thing being true and the probability of that same evidence consequent to it being false. And the prior odds are how things have turned out before: do heavily mythologized superheroes tend to exist? Do ordinary historical people? The prior odds have to be multiplied by the consequent odds, as the latter represents the effect of all the evidence, one way or another, particular to the thing being questioned (apart from what we would predict from background knowledge alone). For Jesus, I assess all the evidence in my original study On the Historicity of Jesus. What about Aristotle?

Difference in Evidence

We actually have evidence for Aristotle that we don’t have for Jesus. A lot. Here I shall evaluate each independent category of evidence as if the others didn’t exist, and then combine them for the effect of having them all and not just one alone. This is unlike Tertullian quoting the Gospels as his only source attesting to Jesus, which only attests the Gospels, not Jesus, and so cannot add to whatever probability we derive from the Gospels (the probability that an attestation of the Gospels would exist given either theory of their production is the same on either theory and thus cancels out to 1). None of these evidences, altogether, is directly dependent on the others (e.g. even if some could have been produced in awareness of the rest, its contributing content cannot be explained by that). This does mean some of this you might rank better than I do, given all the other evidence. But I am here accounting for that effect by ranking them as if the other evidence doesn’t exist and then calculating the effect of having all of it.

Here we go:

  • Like Josephus (and unlike Jesus) we have Aristotle’s own writings—extensively; even more, and more credibly, than we have for Paul, which is still a ton more than we have for Jesus (who, like Socrates, wrote nothing). The probability that all of the extant writings of Aristotle are fakes (given all the pertinent data, internal and external, apart from what follows) cannot plausibly be higher than one percent, because most of what we have is at least a hundred times more likely to be authentic than not. Not even once in a hundred times do we have a vast faked corpus like this, plausibly contexted (internally, and externally, by all the ancient discussions of Aristotle not already counted below).

That gets us a likelihood of 100/1.

Writings can have indicators of forgery, or lack indicators of authenticity; and can have external attestation or lack them. So this isn’t going to be the likelihood every time we have a purported writing. But it is for authors like Josephus or Aristotle—unlike, for example, Jesus’s “letter” to Abgar, some of the letters of Apollonius, or the New Testament forgeries attributed to Paul (e.g. the Pastorals and Deuteropaulines, 2 Thessalonians, even now Philemon), even the actual Pseudo-Aristotelian writings. There may be more evidence to doubt all the letters of Paul, for example, but still not enough to nix them. I might put the authenticity of his core six Epistles at twenty or fifty times more likely if he existed, or if being generous to skeptics, ten times. But that’s still ten times more evidence than we have for Jesus. And at a hundred times in the case of Aristotle this is already overwhelmingly more evidence than we have for Jesus. And it’s still not all we have.

  • We have an inscription erected during Aristotle’s life by the people of Delphi honoring Aristotle (and his student Callisthenes) for completing their commission of him as a scholar to reconstruct the Pythian Games list that had been lost in a fire (Corpus des Inscriptions de Delphes, vol. 4, §10), which is also mentioned in later sources. This being a fake is damn near impossible. And we have no inscriptions like this for Jesus. The probability that this would exist and Aristotle not exist must be thousands to one against. But I will be excessively generous to skeptics and say it is only a thousand times more likely to exist if Aristotle did than if he didn’t.

This gets us a likelihood of 1000/1.

  • We have an eyewitness account from Aristotle’s student, Aristoxenus, writing mere years after Aristotle died. We have no such record for Jesus. This is not a mythology but an ordinary science textbook discussing Aristotle’s teaching methods and things Aristotle had said to Aristoxenus about what it was like attending the classes of Plato (who was Aristotle‘s teacher). Given all we know (above, below, and beyond), the probability that this is in any relevant way fake can be no better than 10% (and is certainly less). Since it’s 100% expected if he existed (minus the coefficient of contingency that’s the same on all theories of its production and thus cancels out), its being only 10% expected if he didn’t exist means this evidence is ten times more likely if he existed.

That gets us a likelihood of 10/1.

  • Arrian composed his history of Alexander the Great mid-second-century A.D. using an explicit method of only relating what he found in three eyewitness sources (then extant and attested apart from Arrian), including Aristotle’s nephew, student, and colleague Callisthenes (a scholar and attaché to Alexander). This is the same Callisthenes attested as Aristotle’s coworker in the Delphi inscription above (and as a commentator on Aristotle in a first century manuscript of Aristotle). So when Arrian attests to Aristotle’s connection to Callisthenes and Alexander (also Aristotle’s student) this is a reliable report from a serious historian who read several widely-published eyewitness accounts of Aristotle’s historicity. We have nothing like this for Jesus. We have a lot of it for Aristotle. This is easily a hundred times more likely to exist if Aristotle did. But I’ll be absurdly skeptical and say it’s only ten times more likely, again allowing a 10% chance it’s all fake or mistaken somehow.

And that also gets us a likelihood of 10/1.

  • We have numerous ordinary attestations of Aristotle and his works within a century of his death. We have none for Jesus (only overt myths and implausible legends). For example, Antigonus of Carystus was already relying on the writings of Aristotle, confirming his authorship and some of their contents. We know from a later epitome of it that Eratosthenes cited Aristotle in his Catasterisms on matters of science—and not as a revelatory being, we should add, but as an actual scholar and author. We know from surviving quotations that just one generation after Aristotle the first librarian of the Great Library of Alexandria, Callisthenes, often discussed and cited him, too. And we know from surviving quotations that Aristotle’s contemporary Ephorus did as well—before Aristotle even died. It would be hard to have faked all of this. And if authentic, none of it makes sense unless Aristotle existed. So all of this evidence together has to be at least five times more likely if Aristotle existed. I’m thus allowing it an absurd 20% chance of these all being fake or mistaken somehow.

That gets us a likelihood of 5/1.

  • Finally, we have credible serious historians, whom we know often relied on contemporary documentation for their reports, attesting Aristotle within two to three centuries (Polybius, Diodorus, Dionysius, and Strabo) and later historians who we know in general relied a lot on original documents and contemporary sources—most particularly Diogenes, who explicitly cites contemporary documents and sources, including credible quotations of Aristotle’s will. As another example, the medieval Simplicius repeatedly quotes a text by Theophrastus discussing Aristotle, his tutor and predecessor as head of Aristotle’s school, the Lyceum, and thus an eyewitness. We don’t have anything like these things for Jesus, either. For example, the first real historian of Christianity, Eusebius, writing three centuries after the fact, has no contemporary sources to cite for Jesus, explicitly relying solely on the Gospels (overt mythologies) and second or third century legends (like incredible unsourced tales from Papias, wild hagiographies from Hegesippus, post-Gospel apocrypha, or the forged letter to Abgar). For all the far better material we have for Aristotle to be faked or mistaken, with dozens of otherwise trustworthy scholars being duped by forgeries and legends, is harder to believe. It can’t be any less than twice as likely we’d have all of this material if Aristotle existed than if he didn’t. While we have nothing even like this for Jesus.

That gets us a likelihood of 2/1.

In my formal study I found the total likelihood ratio for Jesus to be more or less just 1. After all the evidence pro and con is balanced out, and at estimates as much in favor of his existence as reasonably possible, it’s all a wash. At more realistic estimates, it’s much against the historicity of Jesus and thus reduces the probability that he existed even from its best low starting point of 1 in 4. But let’s be generous and use the upper margins of error. In OPH now that gets ~ 1/4 × 1/1 = 1/4 or just, at best, a 25% chance Jesus nevertheless existed. Which is respectable, but not enough to appease those annoyed or terrified by the possibility that Jesus didn’t exist.

What do we get for Aristotle?

5/1 × [ 100/1 × 1000/1 × 10/1 × 10/1 × 5/1 × 2/1 ]

= 5/1 × [ 100,000,000/1 ]

= 500,000,000/1

In other words, the odds that Aristotle existed are five hundred million to one on current evidence. Indeed, even apart from Jesus being a heavily mythologized superhero (and Aristotle not), the additional evidence is still a hundred million times better for Aristotle than for Jesus altogether.

So, no. There can be no “robust defense” of the assertion that “the historical Jesus is better attested than Aristotle.” By the strength of the evidence surviving, Jesus is a hundred million times less reliably attested than Aristotle, and five hundred million times less likely to have existed. Even if you wanted to be absurdly skeptical and cut every high likelihood ratio down to 10/1, the evidence is still a hundred thousand times better for Aristotle, who then still ends up half a million times more likely to exist than Jesus. Which is why historians are so certain Aristotle existed—and have no reason to be so certain Jesus did.

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