# Essay - Mathematics George Cantor the Purpose of the Paper is to...

Mathematics

George Cantor

The purpose of the paper is to develop a concept of the connection between m*****thematics and society from a his*****ric*****l perspective. Specifically, it will discuss the subject, what George Cantor accomplished for mathematics and what that did for society. ***** Cantor's set theory changed the way ma*****maticians ***** the time looked at *****ir science, and he revolutionized the way the world looks at numbers.

***** Cantor was a brilliant mathematician and philosopher who developed the modern ma*****matical idea of infin*****y, along with the idea ***** an infinite set of real numbers, called transfinite sets, or ***** "set the*****y." In addition, Cantor found that real numbers were not countable, while algebraic ***** were countable (Breen). *****'s views were quite controversial when he first developed them in the late 1800s, and some mathematicians today question some of his hypothesis ("Transf*****ite Number"), however, his work is recognized as some ***** the most important mathematical thought of our time. Not only ***** Cantor get other ***** thinking about problems that had plagued them for years, he changed the ***** they looked at numbers in general - it made ***** ***** ***** numbers actually are.

***** did Cantor's theories affect society? Cantor's work, which he attributed to God's divine w*****dom showing him the solutions, ***** the way ma*****maticians looked at their work. It also stirred up interest in ***** that ***** waned during the Victorian era. Even more importantly, ***** theories spilled over into many ***** innovations ***** the day, including the atomistic statistical *****rmodynamics, stop-motion photography, and even the color-plane type of painting by Gauguin and Bernard (Everdell 46). In add*****ion, ***** *****s also inspired philosophical thought in any number of his contemporaries, because ma*****maticians like Bertrand Russell and Ludwig Wittgenstein turned to philosophical ***** ***** explain and even try to disprove Cantor's theories. Cantor's set theories ***** others to create, think, prove, and dis*****, and so, his work ***** ***** created a more underst*****ndable and workable form ***** arithmetic, it created new thought and ***** art forms that changed society ***** how society looked at science. When people began to understand ***** mathematics could influence everything from photography to art and science, they took a greater interest in mathematics and philosophical thought, ***** in turn led to ***** more innovation and scientific *****. In fact, today, m***** scientists and mathematicians feel ***** work represented a real paradigm shift, or a radical change in ***** and philosophical thought ("Cantor"). Two of his l*****ting models that showed his theories were "*****'s Comb," which showed all points ***** disconnected from each other, and "Cantor's Dust," which calls these ***** sets "fractal dust" (Breen). Cantor's work really ***** mathematics, ***** encouraged people to think *****ly about just what numbers really were.

*****, Cantor's mental health deteriorated as he aged, and ***** had sev*****l nervous breakdowns in reaction to cr*****icism of ***** *****. Today, many believe he suffered from bipolar disorder ("Cantor"). It is sad to ***** ***** Cantor may have contributed even more to

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