I just finished reading three books which might seem totally unrelated,
Steven Pinker’s Enlightenment now
Thomas Sowell’s new Discrimination and disparities and;
Tim Noakes’s lore of nutrition.
These three might seem slightly unrelated, however there is one common theme in all of them: innumeracy among intellectuals and academics in general.
The one particular part of mathematics that is absent is statistics, which can also be extended into science a bit.
Closer scrutiny of scientific conclusions on nutrition, discrimination or human progress cannot be done with what is called Observation studies (the basic correlation and causation fallacy).
Observation studies only allow us to set hypothesis, but we cannot draw conclusions unless we can explain the mechanism.
Here is a practical example:
We get fatter, because we eat more calories than we expend.
This is true, however it does not explain why we get fat. Thus it does not infer causation. We now know that we get fat because our body is producing fat from carbohydrates (mainly sugar). Therefore the caloric deficit hypothesis is refuted.
Thomas Sowell points this out when people neglect certain stastics (omission) or group things together that should not be grouped together (commission).
Steven Pinker points it out that a system of shared intelligence (i.e. a free market) might seem less efficient than a single intelligent system, i.e. a collective plan. He points to serial innumeracy among academia, mainly the fallacy of commission.
In Pinker’s last book he shows that humanity is at a time where literary has never been higher. In fact most children born after the 90% can read or write. Thus literary and hunger has been achieved.
The next challenge of development will be to get counter-intuitive statistical literary to be part of the culture.
What do you guys think?