So each thinks the other is a dishonest liar telling lies.
That is a very ancient problem. The Stoics talk about it. I'm sure other philosophers talk about it.
On RF its actually a rule when it comes to other posters not to accuse them of malice, stupidity or misinformation. This is purely a matter of practicality. Staff will often consider it breaking rule 1 if one poster is claiming the other is dishonest. Sometimes not, but its rare. Its too much work figuring out who is actually trying to lie and who thinks they are being honest, so to keep conversation going we just suggest everybody play nice and ignore anyone that they think is a troll or a liar, aside from reporting their posts. Usually lying is not against the rules but calling someone out on it is very often against the rules. The exception is if its someone not in the forum, such as a public figure. "Michael Landon is a lying hair bush." is not breaking rule 1, provided nobody is signed up as Michael Landon or close family. As soon as Michael, himself or his son etc, makes an account he gets treated as a non public person. That's my understanding of things. So then we stop telling either truths or lies about him, since he's a member and represents himself.
Creationists and 'Creation scientists' start from the assumption of creation and from there look for clues as to how it may have happened. Its purely philosophical, not scientific, to pursue investigations based upon unalterable assumptions about something. Hence they are not pure scientists. They are philosophers with an engineering bent to prove something. They are like Alchemists who proceed on the assumption that plumbum can be made into gold in spite of no indication of that being true, so they are philosophical engineers not scientists.
Science requires pairing down assumptions to the minimum and only investigating what evidence suggests. This places most philosophical positions outside of its scope. Pursuit based on mere philosophical axioms is opposed to and by the scientific movement. Its not scientific to begin with a premise such as "We need to prove that liberals are not as smart as conservatives, so how can we do so?" or vice versa. Creationism, which I think was formulated against Evolution as a scarecrow to scare Christians and to keep them cowed by ministries, sometimes claims to be a science called 'Creation Science'. Its a philosophical position though, not a scientific one.