Modern Times, Engineering and Computers

There have been many incredible accomplishments of human ingenuity and faith. In more modern times think of engineering feats such as for example the lying dry land of large areas of sea by the dutch as a colossal undertaking, a success and giant tribute to engineering as well as the digging of the Suez and Panama canals.

The understanding and methods of logic and the idea of binary code, numerical machines provide the incredible speed ease of calculation and availability of information on the internet. A terrific explosion of knowledge. Like an atom bomb.

Learning and communication can be compared to milestones of the renaissance and printing press revolutions, even before that hand written records of history and all starting of the development of spoken language. In this the most recent case it developed in the space of only a few decades. Available knowledge as a result of these inventions rapidly accumilated and provides more and more reliable information and in turn greater understanding of our world.

There have been other kinds engineering feats too including achievement of manned moonlandings especially when  considering the “primitive” computer (and physical, material) technology available, solar system probes at exploration frontiers and kinds of super telescopes, at the same time as of for instance rapid developments in medicine and generally in science come together in a better life for all.

A revolution in mathematics is at a pinnacle of knowledge through elite and disciplined systematic study and in essence pure thought. Abstract study of these eternal thruths are in fact a philosophy of the twentieth century. They culminate in the most extraordinary discoveries and deep ages old questions have been answered and more are begging crucial answers.

Many current mathematical investigations and research came as result of  new concepts better notation and understanding. Historical such are concepts of Zero, a placeholder or then as a number; negative numbers; the concept of a function; calculus and rates of change; and in effect very basic ideas of set theory, hierarchies of infinities and a heaven of many more show the way to the future.