We have evidence of simple bacteria and possibly worms before the Cambrian explosion so, at this point, absence of evidence is evidence of absence. The sudden appearance of complex life during the Cambrian explosion cannot be explained in the terms of Evolution.
Given that "and possibly worms" gives you the kind of "body type" that most animals had even after the Cambrian explosion I don't think this gives you any kind of certainty.
Recently, an international Biologist stated that appearance of complex species were so rapid and is very little is known about the evolutionary ancestors so, it looks like "someone planted the fossils there". In his defense, he clarified that he was not talking about creator.
No one is denying that the Cambrian explosion was a rapid expansion or that life before hand is mysterious... but there is significant explanation without having to resort to extra forces and entities not in evidence.
Is the theory of Evolution falsifiable? putting it in a different way, what would it take to convince Biologists that it was not some "environmental factors" that diversified life in the way we know.
A lot given that mutations have been observed and many different causes found in nature have been measured and tested.
A well defined, cumulative product posits intelligent design so, if it were some natural agents that caused the diversification of life then, the natural factors were caused by an intelligent agent we call, God.
This is just declaring your point correct again. Do you have any evidence for this?
As long as you don't help me find out what was missing, it is "our math".
Because all you did was state three large numbers:
8.7 million estimated extant species
99.9 % of all species are extinct
thousands of millions of species have existed
Then you declared that 500 million years was insufficient time.
There are no calculations, no explanations about possibilities or how you determined them.
An argument from incredulity wrapped in some big numbers is still just an argument from incredulity. It isn't maths and it isn't reasonable.
We wouldn't be talking about Cambrian Explosion so much if there were evidence of its evolutionary ancestors and the time period was convincingly long enough. By the way, if those "uniqueness" resulted in some complex results then, it was an intelligent mind that was behind it.
Why? Why must a unique event be the result of an intelligent mind?
Two other possibilities exist that it is simply incredibly unlikely or that once it had occurred the environment had changed such that a similar event was impossible.
The analogy purported to demonstrate that a well defined, cumulative product posits intelligent design.
And I pointed out why it is a poor analogy. Life grows and changes houses don't.
I , along with many Christians, don't deny the mutation. The matter of contention is "what" caused the mutation - an intelligent mind or some environmental factors?
Mutation is absolutely caused by environmental factors... we see it, we measure it and and we can reproduce it.
What you are proposing is another source of mutations in precise locations... while leaving no measurable trace to differentiate it from environmental mutations.
I can't disprove divine intervention on a massive scale to direct mutation toward the goal of life as we see it... but it is very weird.
It seems odd to have something powerful enough to manipulate chemistry at a universal level... but to be stuck with some as slow and messy as directed evolution rather then just making everything the way you want it like the YECs believe.
You believe it was some "natural, unintelligent" agents which changed mud (inorganic matter) into organic matter (amino acids), transformed it into protein molecule, infused it with DNA to form the first living cell? The process is so complex that researched believe the life on Earth came from outer space.
I think you'll find that scientists who propose panspermia (who aren't weird UFO nuts) don't deny abiogenesis... just that it could occur then be spread between planets.
Abiogenesis is not a developed theory in science, just a set of hypothesis about how the first life formed.