Whitfield Diffie Quotes
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
Diffie, Whitfield. "The First Ten Years of Public-Key Cryptography." Proceedings of the IEEE, vol. 76, no. 5, May 1988, p. 560.
For many scientists, this is the goal of each area of inquiry. For others, the science is crude and really not understood unless the mathematical model exists and can be verified experimentally. For Thompson, this was the difference between understanding and not.
Feynman generally emphasized the importance of a scientist understanding the mathematics of his/her subject, especially where nature's complexities abounded. At the time few appreciated the importance in the biological sciences of mathematics which we know today is so essential.
Historically, in the first half of the 20th century, nuclear scientists discovered that probability governed and was necessary for understanding quantum mechanics—the laws of physics governing tiny objects like atoms, electrons, protons and even quarks. To many, this seemed a contradiction in that it was hard to conceive particles following laws and yet behaving randomly at the same time. However, it did not take long before all the scientists adjusted their thinking and learned to live and work with that was then a type of contradiction but is no longer thought so as men and women have learned to think in a new way. This quotation illustrates that the greatest scientists in the world, in a very short period of time, had to change their entire mode of thinking. There were no real holdouts or “conservatives” who wanted to maintain the older values. This would never happen in politics, where change is not accepted very quickly.
This was one of the great scientific predictions of how science would develop.
This is an amazing quotation. It was not until the last 50 years that biologists have come to realize that mathematics is essential to their understanding of the science, just like chemistry and physics. For years biology was a science that did not require mathematics as a prerequisite for study. With the exception of a few holdouts, biology had come of age—an age predicted by Comte. This has placed more pressure on the high schools which used to counsel students that if they did not like mathematics or take it, they could go into biology. No longer is that reality.
Bailey Whitfield 'Whit' Diffie, ForMemRS, is an American cryptographer and one of the pioneers of public-key cryptography along with Martin Hellman and Ralph Merkle. Diffie and Hellman's 1976 paper New Directions in Cryptography introduced a radically new method of distributing cryptographic keys, that helped solve key distribution—a fundamental problem in cryptography. Their technique became known as Diffie–Hellman key exchange. The article stimulated the almost immediate public development of a new class of encryption algorithms, the asymmetric key algorithms.
