"All the so-called "evidence" against evolution is nothing but a bunch of logical fallacies"
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The fossil record does not support Darwinism....i.e. gradualism as Darwin proposed. That is why Steven J. Gould developed the theory of punctuated equilibrium....to explain the sudden appearnces of species in the fossil record.
The fossil record shows the flaws in Darwinism and Gould tried to compensate for it. Its not a logical fallacy, its just....science.
So how is Gould's theory a logical fallacy?
Second of all, it doesn't conflict with Darwinism. Darwin himself hypothesized that evolution might not proceed at a constant rate, but might proceed at a faster rate at some times, and proceed at a slow rate at others. Eldridge and Gould merely showed that the fossil record confirms this hypothesis.
To answer your question, punctuated equilibrium is not a logical fallacy. Using it to argue against evolution is.