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


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Mathematics

George Cantor

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

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

How 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 m*****hematics that had waned dur*****g the Victorian era. Even more importantly, his *****ories spilled over into many other innovations ***** the day, including the atomistic statistical *****rmodynamics, stop-motion photography, ***** even the color-plane type of painting by Gauguin and Bernard (Everdell 46). ***** addition, Cantor's ********** also inspired philosophical thought in any number of ***** contemporaries, because ma*****maticians like Bertrand Russell and Ludwig Wittgenstein turned to philosophical thought to explain ***** even try to disprove Cantor's theories. Cantor's ***** theories inspired *****s to create, think, prove, and dis*****, and so, his work not ***** *****d a more understandable and workable form of arithmetic, it created new thought and new art forms ***** changed society ***** how society looked at science. When people began to understand that 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 ***** scientific *****. In fact, today, m***** scientists and mathematicians feel Cantor's work represented a real paradigm shift, or a radical change in ***** and philosophical ***** ("Cantor"). Two of his lasting models ***** s*****ed his ***** ***** "***** Comb," which showed all points were ********** from each other, and "*****'s Dust," which calls these disconnected sets "fractal dust" (Breen). Cantor's work really revolutionized mathematics, and encouraged people to think philosophically 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 ***** ***** *****. Today, many believe he suffered from bipolar disorder ("Can*****r"). It is sad to ***** that Cantor may have contributed even more to

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