This post is about an idea I’ve had for a long time, about an experiment to test whether plants can learn. I’m very far from being a plant biologist, so I’m unlikely to ever be in a position to do this experiment, but it’s an interesting thing to think about.
I’ve read a couple of interesting books recently, one was “The End of Science” by John Horgan, and the other was “Radical Embodied Cognitive Science” by Anthony Chemero. Horgan’s theme was the question of whether the fundamentals of science are now so solid that before long nothing genuinely “new” will be left to find, and science will be reduced to either obsolescence, or puzzle-solving type application of existing theories to particular problems. The only other type of science that still exists, according to Horgan, is “ironic” science. A kind of semi-postmodern project to explain or describe what we already know in more “beautiful” or appealing forms, but which never produces hypotheses that are empirically testable, and for this reason, don’t actually advance knowledge. Horgan is distinctly dismissive of this kind of science, as being not “proper” science (he deliberately compares it to postmodern literary criticism, which he seems to have particular contempt for, having once been a student of it himself). Chemero would be, I’m sure, classified by Horgan as an ironic scientist. I don’t think Chemero would be able to deny that in a sense, his philosophy is empirically untestable, but he certainly argues that it is pragmatic in the sense of being useful to scientists engaged in solving real world problems.
For a while now I have had an interest in information geometry. The maxims that geometry is intuitive maths and information theory is intuitive statistics seem pretty fair to me, so it’s quite surprising to find a lack of easy to understand introductions to information geometry. This is my first attempt, the idea is to get an geometric understanding of the mutual information and to introduce a few select concepts from information geometry.