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A new number line theory
Posted:
May 16, 2008 8:25 AM
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Our number line spans from minus infinity to plus infinity and includes all the integer and complex numbers (which can be integers). Since the distance from minus infinity to plus infinity is infinite, and the distance from zero to plus infinity is infinite, then all real values expressed on our number line can also be expressed on a number line starting at zero and extending to plus infinity. This implies that negative numbers can be logically exluded from all mathematical operations. This further implies that imaginary numbers, which don't lie on the real number line anyway, are exluded from all mathematical operations. I am interested in ideas from mathematicians regarding the broader impications of its use. Further, if one chose to begin the number line at one, then operations involving zero would also be logically exluded, such as division by zero and power of zero. I believe that such operations by negative numbers and zero are meaningless. As an example: If I have one apple, and you take two apples away, how many apples have I left. Well, you cannot take two apples away from one apple. The question has little meaning.
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