In the case of situation (1), such things should be accepted based on the evidence in their favor.
except this denies that there is misleading, false evidence or interpretation thereof.
In the case of situation (2), such things should be accepted or rejected based on personal belief or faith.
though this is true, it is not limited to the life, death and resurrection of Christ. it also applies to creation, the flood and other events hard to fathom or prove . to do #1 and #2 means you are cherry picking what you will or won't believe.
In the case of situation (3), such things should be rejected based on the evidence against them.
there is no evidence against a young earth creation. the only words we have are 'in the beginning God...' now the interpretation of said evidence against a young earth creation is faulty as it is based upon bias, hatred, the omission of data, the failure to be objective and to consider all options and so on. plus, these people's conclusions are based upon the minutest amount of evidence, none of which they can demonstrate taking place at any given time, even in the laboratory.
Events like a global flood would leave huge piles of evidence all over the place. Ditto with an ex nihilio creation at a specific date ago.
this position is false as it assumes a specific result in ideal conditions. life just doesn't work that way and 3-10,000 years of living will do something to whatever evidence is left behind. it also discounts the massive amount of evidence already discovered proving the flood and talked about by drs. rehwinkel and hapgood, among others.
this discounting of the evidence is typical and dishonest.
Events like one person being healed, or one person being raised from the dead in the distant past do not leave any examinable evidence.
yes and no. sure, healing does not leave a chemical trace, or a scar and so on but it does leave the evidence that the erson was sick, injured or dying and now they are 100% healthy. such a fact is evidence alone that healing took place. the problem here is that those who believe in science do not get the evidence the way THEY WANT IT so they discount or dismiss the event and ignore God once again.
So, accepting things like an old universe are based on evidence because there IS evidence around to be looked at
again, this is assuming that the so-called 'evidence' is interpretating correctly and without error, is true and correct, and that there are no other options available, which is never the case.
it also assumes that science is the only field which gets to have the answers and that just isn't so. plus it assumes that the people in the field can do no wrong, are not decieved or influenced by the devil or his minions and so on.
such a position is placing oneself out on a limb with the connecting branch sawed halfway through.
But accepting things like a lone person being healed or raised are not based on evidence but on faith.
that is just wrong based upon my answer two quotes up.