When we benefit from CT scanners, M.R.I. devices, pacemakers and arterial stents, we can immediately appreciate how science affects the quality of our lives.
It was our use of probability theory as logic that has enabled us to do so easily what was impossible for those who thought of probability as a physical phenomenon associated with "randomness". Quite the opposite; we have thought of probability distributions as carriers of information.
Interpretation
What this quote means
Probability theory provides a logical framework that transforms challenges into manageable concepts, contrasting with viewing it merely as randomness.
In this quote, Edwin Thompson Jaynes emphasizes the power of probability theory when approached as a logical tool rather than merely a description of randomness. This perspective allows for deeper insights and manipulation of probability distributions, which serve as vessels of information rather than just enigmatic occurrences. By viewing probability through the lens of logic, complex problems become solvable, illustrating the importance of conceptual understanding in utilizing mathematical frameworks effectively.
Themes
In practice
Example use cases
In a lecture on statistics, one might use this quote to illustrate the importance of understanding probability theory.
Similar quotes
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Development of Western science is based on two great achievements: the invention of the formal logical system (in Euclidean geometry) by the Greek philosophers, and the discovery of the possibility to find out causal relationships by systematic experiment (during the Renaissance). In my opinion, one has not to be astonished that the Chinese sages have not made these steps. The astonishing thing is that these discoveries were made at all.
Science is one thing, wisdom is another. Science is an edged tool, with which men play like children, and cut their own fingers. If you look at the results which science has brought in its train, you will find them to consist almost wholly in elements of mischief. See how much belongs to the word "Explosion" alone, of which the ancients knew nothing.
All mathematics is is a language that is well tuned, finely honed, to describe patterns; be it patterns in a star, which has five points that are regularly arranged, be it patterns in numbers like 2, 4, 6, 8, 10 that follow very regular progression.
When asked about which scientist he'd like to meet, Neil deGrasse Tyson said, "Isaac Newton. No question about it. The smartest person ever to walk the face of this earth. The man was connected to the universe in spooky ways. He discovered the laws of motion, the laws of gravity, the laws of optics. Then he turned 26.