Conclusion of large number
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Answer:
5 Conclusion. Real numbers are infinite number of decimals used to measure continuous quantities. On the other hand, rational numbers are defined to be fractions formed from real numbers. Axioms of each number system are examined to determine the difference between real numbers and rational numbers.
Answer:
Section I : Fundamentals of the counting numbers", I first introduced the counting numbers as an intuitive interpretation of "number sense". From our vague concepts of distinctness, and collections, early humans came up with the idea of numbers, and used various tally methods to record them. Underlying the concept of tallying is the idea of one-to-one correspondence.
With this basic understanding of how to extract the abstract concept of "number" from a number of objects, humans further developed notations and language in order to record such counting numbers.
Finally we went over decimal notation, and the way that languages all over the world express these numbers.
After this I presented my own designations for the first 1099 counting numbers, and lastly we went over numbers which often arrise, small primes, and elementary arithematic.
What is there to be learned from all of this ? Firstly, there are many ways to express the same fundamental idea. All of these forms of expression are equally valid. Furthermore there are potentially many many more ways that the counting numbers could be expressed that humans have as yet to devise. Each form of expression highlights different aspects of the number concept, so I take a wholistic view, that some knowledge of each is important to get to the fundamental idea underneath. Remember that expressions like 1,2,3, etc. are just designators, labels. The true abstraction is something even more subtle. Do numbers really exist ?
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