Monday, April 26, 2021

Christiaan Huygens and certainty


Photo source: Wikimedia Commons, Caspar Netscher

Christiaan Huygens (1629-1695) was a Dutch mathematician best known for his contributions to optics, astronomy and pendulum clocks. Professor Joella Yoder said,
"[Horologium Oscillatorium] is the first modern treatise in which a physical problem is idealized by a set of parameters then analyzed mathematically. It is one of the seminal works of applied mathematics." (Christiaan Huygens: Book on the Pendulum Clock)
The rest of this post is some quotes from Huygens.

Certainty


"I believe that we do not know anything for certain, but everything probably. " (Letter to Pierre Perrault, 1673)

"There are many degrees of probable, some nearer truth than others, in the determining of which lies the chief exercise of our judgement." (Cosmotheoros, 1695-1698)

"One finds in this subject a kind of demonstration which does not carry with it so high a degree of certainty as that employed in geometry; and which differs distinctly from the method employed by geometers in that they prove their propositions by well-established and incontrovertible principles, while here principles are tested by inferences which are derivable from them." (Treatise on Light, 1690)