when you say there is no evidence for a world wide flood, how does science explain the remains of mammoths and rhinoceroses in different parts of the earth, Some of these were found in Siberian cliffs; others were preserved in Siberian and Alaskan ice. In fact, some were found with food undigested in their stomachs or still unchewed in their teeth, indicating that they died suddenly.
And then there is the fossil remains of many other animals, such as lions, tigers, bears, and elk, have been found in common strata, which may indicate that all of these were destroyed simultaneously.
some would view this as possible evidence
These would be the ones grasping at straws.
The dead megafauna span a considerable time, rather than being all associated with a single date. The evidence for some of the extinct elephants suggests death from blizzard/ice storm rather than flood.
The various critters you mention, lions, tigers, etc. have indeed sometimes been found in the same strata. A number of these (not lions) have been found in the La Brea tar pits of southern California. For example, there have been quite a few sabre-tooth tigers (
Smilodon californicus) found. A number of these were radiocarbon dated a while back, and provided a range from 12,650 to 28,000 years ago. Not exactly evidence for a flood about 4,350 years ago.
That is pretty much the case for all of the things you mentioned. They are scattered over a huge time span, and show no evidence of being killed by a flood.
Indeed, when we look at the last 10,000 or so years archaeologically we generally see continuity of human cultures, fauna and flora (except for the megafauna), DNA, and various annular indicators such as tree rings, lake sediments, ice cores, etc. There just is no evidence of a global flood.
There are smaller, more localized floods that have been found. Check out the following link describing the Channeled Scablands of southern and eastern Washington:
http://www.uwsp.edu/...ticipants/dutch/vtrips/Scablands0.HTM
I did some fieldtrips into that area in grad school. There is some fascinating evidence there of these post-glacial flood episodes. If archaeologists and other specialists can find this evidence, they should be able to find a much younger and much larger flood.
The evidence just isn't there.
Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.