
I have been asked, why this potpourri?(For another thread of answer see the
about page).
Wouldn’t it be better if I stick to just one topic(say,entrepreneurship or maths)? This potpourri gives an impression that there is no unifying theme,it is haphazard.
I have to say that this view springs from a false notion. And that is the notion of ’scholasticism’, that we study theory according to fixed demarcated subjects. While in reality, real thinkers don’t think in terms of subjects. What motivates them is questions; deep, penetrating, burning,eternal questions. The question is the unifying theme, not a category. Why do the stars shine? Why are some people rich and some poor? Is there a soul? How can I get her to like me?etc.
Any great advance comes not through religiously becoming a scholar of a particular subject, but from following a particular question and going down the rabbit hole.Take for example the advent of computers.Computer technology was actually a result of trying to solve a philosophical riddle concerning the foundations of mathematics (also noted by
Gregory Chaitin).
Stage 1-Russel’s Paradox:The story started with Bertrand Russel. He was a well known mathematician turned philosopher turned humanist. He saw some troubling paradoxes in philosophy. One of them is the following: “In a small town there is a barber. And he shaves all those who do not shave themselves(and not anyone else). Does he shave himself?” At once you can see a paradox in this question.If he shaves himself then he is shaving someone who shaves himself. Hence he cannot shave himself. If he is not shaving himself then he is not shaving someone who does not shave himself in the town. Hence, he cannot not shave himself. We reach totally opposite conclusions each time.(Actually his statement is set theoretic, but barber example is a good way to express it in layman terms)
This conundrum may seem trivial, but some of the best minds of those times were grappling with it.
Stage 2-Hilbert’s escape plan:
(more…)
Tags: Alan Turing, Bertrand Russel, Kurt Godel, Turing Machine, Von Neumann Architecture