[In mathematics] There are two kinds of mistakes. There are fatal mistakes that destroy a theory, but there are also contingent ones, which are useful in testing the stability of a theory.
The training one receives when one becomes a technician, like a data scientist - we get trained in mathematics or computer science or statistics - is entirely separated from a discussion of ethics.
It is obvious that while science is struggling to bring Heaven to earth some men are using its materials in the construction of Hell.
One can't prove that God doesn't exist. But science makes God unnecessary. The laws of physics can explain the universe without the need for a creator.
It is as easy to count atomies as to resolve the propositions of a lover.
The love of science, and the energy and honesty in the pursuit of science, in the best of the Aryan races do seem to correspond in a remarkable way to the love of conduct, and the energy and honesty in the pursuit of conduct, in the best of the Semitic.
[T]he yeoman's work in any science, and especially physics, is done by the experimentalist, who must keep the theoreticians honest.
No one believes an hypothesis except its originator but everyone believes an experiment except the experimenter. Most people are ready to believe something based on experiment but the experimenter knows the many little things that could have gone wrong in the experiment. For this reason the discoverer of a new fact seldom feels quite so confident of it as others do. On the other hand other people are usually critical of an hypothesis, whereas the originator identifies himself with it and is liable to become devoted to it.
Science is what scientists do, and there are as many scientific methods as there are individual scientists.
All war is murder, robbery, trickery, and no nation ever escaped losses of men, prosperity and virility. War knows no victor.
The logic now in use serves rather to fix and give stability to the errors which have their foundation in commonly received notions than to help the search for truth. So it does more harm than good.
Poets need be in no degree jealous of the geologists. The stony science, with buried creations for its domains, and half an eternity charged with its annals, possesses its realms of dim and shadowy fields, in which troops of fancies already walk like disembodied ghosts in the old fields of Elysium, and which bid fair to be quite dark and uncertain enough for all the purposes of poesy for centuries to come.
I have been involved with science and math education my whole life. My hope is to continue to promote the love of these beautiful disciplines to the next generation.
There is no time. There is no space. There is no condition. There is only awareness, awareness of these ideas.
If necessity is the mother of invention, scientifically developed production is the mother of scientific research.
Science is what scientists do.
My work on prime gaps lead to lots of media coverage, some good, some bad, some ugly, and some merely ridiculous. For example, a reporter of our university newspaper, who admitted that he is still learning English, wrote that "Prof. Goldston solved one of the most controversial problems in the prime number theory last month with support from his Turkish partner. "
What science can there be more noble, more excellent, more useful for men, more admirably high and demonstrative, than this of mathematics?
Man is developed from an ovule, about 125th of an inch in diameter, which differs in no respect from the ovules of other animals.
A good catchword can obscure analysis for fifty years.
