His argument is based on the fact that for more than 99 per cent of human evolutionary history, we have lived as hunter-gatherer communities surviving on our wits, leading to big-brained humans. Since the invention of agriculture and cities, however, natural selection on our intellect has effectively stopped and mutations have accumulated in the critical "intelligence" genes.
"I would wager that if an average citizen from Athens of 1000BC were to appear suddenly among us, he or she would be among the brightest and most intellectually alive of our colleagues and companions, with a good memory, a broad range of ideas and a clear-sighted view of important issues," Professor Crabtree says in a paper published in the journal Trends in Genetics.
"Furthermore, I would guess that he or she would be among the most emotionally stable of our friends and colleagues. I would also make this wager for the ancient inhabitants of Africa, Asia, India or the Americas, of perhaps 2000 to 6000 years ago," Professor Crabtree says.
"The basis for my wager comes from new developments in genetics, anthropology, and neurobiology that make a clear prediction that our intellectual and emotional abilities are genetically surprisingly fragile," he says.
A comparison of the genomes of parents and children has revealed that on average there are between 25 and 65 new mutations occurring in the DNA of each generation. Professor Crabtree says that this analysis predicts about 5000 new mutations in the past 120 generations, which covers a span of about 3000 years.
Some of these mutations, he suggests, will occur within the 2000 to 5000 genes that are involved in human intellectual ability, for instance by building and mapping the billions of nerve cells of the brain or producing the dozens of chemical neurotransmitters that control the junctions between these brain cells.
Life as a hunter-gatherer was probably more intellectually demanding than widely supposed, he says.
"A hunter-gatherer who did not correctly conceive a solution to providing food or shelter probably died, along with his or her progeny, whereas a modern Wall Street executive who made a similar conceptual mistake would receive a substantial bonus and be a more attractive mate."
Other scientists remain sceptical.
"Never mind the hypothesis, give me the data, and there aren't any," said Professor Steve Jones, a geneticist at University College London.
"I could just as well argue that mutations have reduced our aggression, our depression and our penis length but no journal would publish that. Why do they publish this?
"I am an advocate of gradgrind science - facts, facts and more facts; but we need ideas too, and this is an ideas paper although I have no idea how the idea could be tested."
The descent of man
Hunter-gatherer man
The human brain and its immense capacity for knowledge evolved during this long period of prehistory when we battled against the elements.
Athenian man
The invention of agriculture less than 10,000 years ago and the subsequent rise of cities such as Athens relaxed the intensive natural selection of our "intelligence genes".
Couch-potato man
As genetic mutations increase over future generations, are we doomed to watching soap-opera repeats without knowing how to use the TV remote control?
iPad man
The fruits of science and technology enabled humans to rise above the constraints of nature and cushioned our fragile intellect from genetic mutations.
- Independent