BTW - I mean random from the sense of one of us being able to predict what the change will be, NOT random in the sense of "undirected". Mutations may indeed be directed by God. The Pope himself speculates that God may be planning and supplying the many beneficial mutations we see. That is one of many ways to include God in a way that is consistent with the evidence.
It's interesting to take a look at a Bible verse that describes the relationship between random natural phenomena and God's will:
"The lot is cast into the lap, but its every decision is from the Lord." (Prov 16:33)
Notice that the lot in this verse (the rough ancient equivalent of today's dice or flipped coin) is still "cast into the lap". That is, its fall is still entirely consistent with the laws of gravity, and its final resting position is still entirely consistent with whatever the physical configuration of the lap is. There is no tampering, no probabilistic tweaking. (Indeed, God hates unfair scales; it probably goes that He also dislikes loaded dice!) And yet "its every
decision is from the Lord". In other words, God is entirely capable of reaching the
conclusion He wants, without needing to tamper with the
mechanics of how nature reaches that conclusion in any way.
One can square this with a Molinist, middle-knowledge understanding of God's creation of the world. So suppose that God desires for a particular coin toss (say, the one that told the sailors on the boat that Jonah was guilty) to turn up heads. He does not need to somehow bend the laws of physics to achieve that result; rather, He knows all possible universes, and can choose to actualize any one of the particular universes where the laws of physics
all by themselves make that coin turn up heads.
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When you get past mark's endless
ad hominems

his argument really amounts to nothing more than an argument from incredulity. The rejoinder is incredibly simple:
1. Mutations can alter a species' genotypes.
2. Increased cranial capacity corresponds to a genotype of the human race.
3. The human race is a species that undergoes mutations.
==
Hence, mutations can induce increased cranial capacity.
As it stands, this argument is a simple syllogism. So tell me where it's wrong or oversimplified. I know where it's oversimplified; does mark?
And I'm actually very flattered by his last sentence. I didn't know that he thought evolutionists have an IQ of 300! (Also, physicists think in kelvins.)