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 ***** 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. George Cantor's set theory changed the way ma*****maticians of the time looked at ********** science, and he revolutionized the way the world looks at numbers.

George Cantor was a brilliant m*****hematician and philosopher who developed the modern ma*****matical idea of infin*****y, along with the idea of an infinite set ***** real numbers, called transfinite sets, or ***** "set *****." In addition, Cantor found that real ***** were not countable, while algebraic numbers were countable (Breen). Cantor'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 of the most important mathematical thought ***** our time. Not only ***** Cantor get other ***** thinking about problems that had plagued them for years, he changed the ***** they ***** at ***** in general - it made them question what numbers 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, changed the way mathematicians looked at their work. It also stirred up interest in ***** that ***** waned during the Victorian era. Even more importantly, his *****ories spilled over into many ***** innovations of the day, including the atomistic statistical *****rmodynamics, stop-motion photography, and even the color-plane type ***** painting by Gauguin and Bernard (Everdell 46). ***** add*****ion, ***** works ***** inspired philosophical thought in any number of his contemporaries, because mathematicians like Bertrand Russell and Ludwig Wittgenstein turned to philosophical ***** ***** explain ***** even try to disprove Can*****r's theories. Cantor's ***** theories inspired others to create, think, prove, and dis*****, and so, his work not only created a ***** underst*****ndable and workable form of arithmetic, it created new thought and ***** art forms that changed ********** and how society looked at science. When people began to understand that mathematics could influence everything from pho*****graphy to ***** and science, they took a greater interest in mathematics and philosophical thought, which ***** turn led to even more innovation ***** scientific *****. In fact, to*****, m***** scientists and ***** feel Cantor's work represented a real paradigm shift, or a r*****dical change in mathematical and philosophical ***** ("Cantor"). Two of his l*****ting models that showed his ***** were "***** Comb," which showed all points were disconnected from each other, and "Cantor's Dust," which calls these ***** sets "fractal dust" (Breen). Cantor's work really ***** mathematics, and encouraged ***** to think *****ly about just ***** numbers really were.

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

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