There are a few things that Ellis says that I find questionable.
First, he claims that we have reached the limits of experimental science.
So what we can see at the largest and smallest scales is approaching what will ever be possible, except for refining the details.
He does, however, make an exception:
But I emphasize that this comment does not apply to complex systems.
He then goes on to say:
I concede that observations relevant to structure formation in the universe – galaxies, stars, planets – have a good while to go, they are in essence verging to the side of studying complexity
So, the large to very large scales are excluded from the alleged limits of experiment. What of the smallest scales? How do we know that they are not complex systems as well? And how do we know that our current experimental limits are unsurpassable limits? How do we know that we will not develop experimental methods to deal with some of the limits to current high energy physics?
This brings me to the second problem. His insistence that science is about what is testable and his suspicion of mathematical models:
The belief that all of reality can be fully comprehended in terms of physics and the equations of physics is a fantasy. As pointed out so well by Eddington in his Gifford lectures
It is telling that he points to Arthur Eddington because Eddington rejected the work of Chandrasekhar which led to the idea of black holes because it was based on mathematical rather than physical models. The existence of black holes was widely accepted prior to supporting evidence.
My philosophical and religious views must of course take present-day science seriously, but in doing so (a) I distinguish very clearly between what is tested or testable science and what is not, (b) I make strenuous efforts to consider what aspects of reality can be comprehended by a strict scientific approach, and what lie outside the limits of mathematically based efforts to encapsulate aspects of the nature of what exists.
As to point (a) Ellis seems to have forgotten the Einstein’s theory too was widely accepted prior to satisfactory testing. He is critical of the work of Sean Carroll regarding falsifiability. Ellis characterizes this as:
a major step backwards to before the evidence-based scientific revolution initiated by Galileo and Newton
.
What is ironic is that Ellis seems perfectly willing to forgo falsifiability when it comes to religion and philosophy but not to science. He even admits that multiverse theories might be true, but they are unprovable so he rejects them. Not to get too far off topic but as far as I can see Carroll is not rejecting evidence-based science, it is just that the evidence from mathematical models necessarily weighs more heavily than physical evidence. What is important is that such theories remain provisional and subject to change. They should not be rejected out of hand because they are unprovable by standards that have become questionable because they are more properly suited to observation and experimentation of a different scale.
(b) Why such “strenuous efforts” to limit what can be known through science? Certainly it is clear that there is a great deal that is not known. While it is one thing to be aware of what lies beyond the limits of our knowledge, it is quite another to attempt to draw the line for what will in the future lie beyond the limits of our knowledge. Let the state of the art of our knowledge at any given time show where the line is at that time rather than strenuously trying to establish where they lie ultimately.