The idea of INFINITY as some unimaginably large degree or amount is not quite accurate.
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(1) The basic concept underlying INFINITY is, “THAT which has no limits.”
INFINITY: [Latin, infinitas; prefix in– not + finis boundary, limit, end]
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(2) We may demonstrate this mathematically as follows.
1 ÷ 1 = 1 (1 can be taken out of 1, only 1 time)
1 ÷ 0.1 = 10 (0.1 can be taken out of 1, 10 times)
1 ÷ 0.01 = 100 (0.01 can be taken out of 1, 100 times)
1 ÷ 0.001 = 1000 (0.001 can be taken out of 1, 1000 times)
1 ÷ 0.0001 = 10,000 (0.0001 can be taken out of 1, 10000 times)
We note that the smaller the divisor, the larger is the quotient. When the divisor is very close to 0, the quotient can be imagined to be very, very large. But as long as it can be defined, it is not infinite.
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(3) Division tells us how many times a number can be taken out of another number.
For example, 30 ÷ 6 = 5 because, 6 can be taken out of 30 five times with nothing remaining. Let us apply this concept to “division by 0.”
Every time we take 0 out of a quantity the remainder is still that quantity. Therefore, the number of times we may take 0 out of any quantity is limitless. If a number is N then
N ÷ 0 = Any number + (N ÷ 0) = Limitless quotient
This gives us the example of infinity as “THAT which has no limits.”
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(4) Infinity cannot be defined.
Anything defined, by definition, has limits. Considering INFINITY in terms of “some unimaginably large degree or amount” defines it no matter how subtly. This would not be an accurate consideration of infinity, which has no limits.
Anything defined would be “something.” And an absence of something can be defined as “nothing.” Infinity is neither “something” nor “nothing.”
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