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Discussion and Debate
Discussion and Debate
Physical & Life Sciences
There is no Such a Thing as a Next Number
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<blockquote data-quote="PloverWing" data-source="post: 77381388" data-attributes="member: 307356"><p>It's important to define "number", as there are different sets of numbers.</p><p></p><p>The integers have the property that each number has a unique successor. The natural numbers {0, 1, 2, 3, ...} also have this property.</p><p></p><p>The rational numbers and the real numbers do not have the unique-successor property. As you point out, between any two rational numbers, there is another rational number, and between any two real numbers, there is another real number.</p></blockquote><p></p>
[QUOTE="PloverWing, post: 77381388, member: 307356"] It's important to define "number", as there are different sets of numbers. The integers have the property that each number has a unique successor. The natural numbers {0, 1, 2, 3, ...} also have this property. The rational numbers and the real numbers do not have the unique-successor property. As you point out, between any two rational numbers, there is another rational number, and between any two real numbers, there is another real number. [/QUOTE]
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Discussion and Debate
Discussion and Debate
Physical & Life Sciences
There is no Such a Thing as a Next Number
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