I’m not so sure of this statement. Scientific advances arise out of speculations as the the possible connection between this particular outcome and events that preceded it.
Cosmologists, archeologists and paleontologists love to speculate among themselves. When news media get word of this it is often sensationalized and reported incorrectly. However, it must be admitted that the need for financing causes many scientists to speculate publicly instead of to those who can evaluate their speculations.
“Random” is well defined in probability theory. A random event is one member of a set of events, each of which has equal probability of occuring. The difficulty is that the members of the set have to be mutually exclusive and exhausive of the possibilities involved in determining the outcome of the experiment, whatever it is. This is a tough condition to meet in the game of life.
Why isn’t the statistical and mathematical definition good enough? If “randomness” isn’t mechanistic then the directing force, whatever it is, is exceedingly well concealed.
Other than these paltry gripes, I thought your post was excellent and it seems to me you are, or will be, a first rate science educator. I’m a retired engineer with an interest in how scientific discoveries are arrived at. I’ve worked with lots of engineers and not too many of them are very curious about why we think what we think. Unfortunately it is possible to be a perfectly competent, fundamentalist engineer who thinks that what is in the text and the literature is immutable and handed down from on high. I have hopes though. I graduated from college, with a semester of graduate school, a long time ago and then went to UCLA for more graduate work about ten years later. I was pleasantly surprised by the increased sophistication in the approach that had taken place in just 10 years, and I assume that trend has continued.
More attention in education needs to be given to the methods and history of science. Just reciting the present state of knowledge, although valuable, is insufficient to produce a scientifically literate public.