There's no reason why there couldn't be. Which is why it confuses me so much that I have yet to find any.
Yet in axioms you claim to have truths not found by scientific means, so it seems that you already have found some.
I'm a huge fan of Evid3nc3's videos, he does a much better job of explaining it:
(It's a real shame he stopped making videos some 4 years ago. :/ )
Just to take an example: his second premise (visible around 3:20), for example, is a justified axiom, as if we can
never trust our perceptions, we can never make
any statement about reality, and also are liable to get run over the next time we run into a highway.

Sure, we could all be in The Matrix, but that's a chance we have to take.
I watched about 5 minutes, but can watch more if there is a specific segment that is important.
Descartes' time witnessed a revival of ancient Pyrrhonian skepticism, particularly in the revival of the writings of Sextus Empiricus, and his project was to grant the premises of such skepticism while at the same time establishing (mathematical) certitude with respect to self, world, and God. It was a very strange project, probably failed, and unfortunately set the tone for modern philosophy and science. I'm not sure what relevance Descartes' Rationalism is claimed to have for Evid3nc3's Empiricism.
His second premise is interesting but I don't find it sufficient. Supposing our perceptions to be accurate
some of the time is not sufficient to ground Western science, for if "some" means "the minority" then the global skepticism that Descartes was trying to respond to reigns supreme. As I've just pointed out to to
Archaeopteryx, the perceptions would need to be generally reliable (or accurate the majority of the time) if rational inquiry (and modern science) is to be adequately grounded. If they are only reliable some of the time then confidence is not warranted.
The way I understand it (and my understanding is both lacking and a little tipsy, so feel free to correct me if I mess up here), the key to an axiom being justified is that without it, one cannot reasonably go through life.
Right, but the premises are insufficient, no? This may seem pedantic, but I don't think it's helpful to arrive at a true conclusion by fallacious reasoning. You've given one explicit premise and one implicit premise:
- If some axiom is not justified, then one cannot reasonably go through life. (explicit premise)
- One must be able to reasonably go through life. (implicit premise)
- Therefore some axiom is justified. (modus tollens)
But the obvious question is, "Why is premise (2) true?" (The challenge for Empiricism is not Descartes, but Hume, who dismantles inductive reasoning and falls into his own kind of pragmatism.)
If I wanted to ground Empiricism in a way similar to this, I would revert the epistemological order to the way the ancients understood it. Modern philosophy was generally concerned to first construct an epistemology and then use it to attain knowledge. This naturally resulted in Rationalistic,
a priori efforts such as Descartes' and Kant's. The ancients recognized that knowledge is more apparent than epistemology (we know before we know how we know), and thus began with knowledge. Their epistemology was inevitably more descriptive than normative.
- If some axiom is not justified, then one cannot know anything.
- But we do know things.
- Therefore some axiom is justified.
This captures the correlation between knowledge and axioms in a non-pragmatist way, and the argument derives strength from the many different examples that can be substituted into premise (2). Yet epistemologists including the ancients would never have been satisfied with this. In fact, in the modern context you raise it just looks like a cheap way to smuggle in science. The argument does point to the fact that the axiom is justified, but it doesn't explain how it is justified.
For the sake of length I won't say too much more, only a little...
Although I don't know the history of the term, "axiom" rings to my ear of modern computational theory and mathematical logic. They are thought to be the basic building blocks of the entire edifice, and are mysteriously opaque to any scrutiny. I think it is an error to force that mathematical conception on the human being.
I would follow Aristotle and say that foundational premises are self-evidently true. While not being the conclusion of a deductive syllogism, they are also not
a priori or inherent knowledge that everyone just has from conception. For example, take the principle of non-contradiction. Once the human being observes and surveys enough of reality, some form of intellection or inductive reasoning seems to provide them with knowledge of this truth. Perhaps something like Newman's "Illative sense." I would have to revisit the works before saying more.
In any case I don't see why basic premises would need to be be justified in the same way that knowledge depending upon the basic premises is justified (i.e. syllogistic reasoning).
I can't say I agree with all of this. See also: social sciences, "soft sciences" like economics, etc. Economics runs off more or less the same framework as biology, but given the data we have to work with, it is
far harder to draw any reasonable conclusions. That doesn't mean it's not science, that doesn't mean we can or should discount it outright, it just means we have to be more careful and more studious. And it's not like there's some "alternative economics" not based on the scientific method that works better.
I will say that the problem of the humanities vanishing in colleges is real, and that as little as, say, music theory is likely to help us attain eternal life, we really shouldn't give it
that much of a short shrift.
Okay, fair enough.
