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


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Mathematics

George Cantor

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

***** Cantor was a brilliant m*****hematician ***** philosopher who developed the modern ma*****matical idea of infinity, along with the idea of an infinite set ***** real numbers, called transfinite sets, or ***** "set *****." In addition, Cant***** found that real numbers were not countable, while algebraic ***** were countable (Breen). ***** views were quite controversial when he first developed them in the late 1800s, and some mathematicians today question some of his hypothesis ("Transfinite 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 way they ***** at numbers in general - it made them ***** what ***** actually are.

***** did ********** theories affect society? Cantor's work, which he attributed to God's divine wisdom showing him the solutions, changed the ***** ma*****maticians looked at their work. It also stirred up interest in ***** th***** ***** waned during *****e Victorian era. Even more importantly, ***** theories 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). In add*****ion, Cantor's works also inspired philosophical thought in any number of his contemporaries, because ma*****maticians like Bertrand Russell and Ludwig Wittgenstein turned to philosophical ***** to explain ***** even try to disprove Can*****r's theories. Cantor's ***** theories inspired others to create, think, prove, and dis*****, and so, his work ***** ***** created a ***** understandable and *****able form of arithmetic, it created new thought and ***** art forms that changed society and how society looked at science. When people began to understand that mathematics could influence everything from pho*****graphy to art and *****, they took a greater interest in mathematics and philosophical thought, which ***** turn led to even more innovation and scientific *****. In fact, to*****, m***** scientists and mathematicians feel Cantor's work represented a real paradigm shift, or a r*****dical change in mathematical and philosophical ***** ("Cantor"). Two of his lasting models that showed his theories ***** "Cantor's Comb," which showed all points were *****connected from each other, and "Cantor's Dust," which calls these disconnected sets "fractal dust" (Breen). Cantor's work *****ly ***** mathematics, ***** encouraged ***** to think philosophically about just ***** numbers really were.

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

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