Infinite Realities i - The Problems Ahead
November 19th 2007 10:10
1 – What is an infinite reality? I believe there are innumerable infinite realities everywhere around us. When I look into the night sky I always wonder how far it goes.
An infinite reality, then, would be one with no end and no beginning. Can we conceive anything like this? Probably not.
2 – How can we measure an infinite reality? With finite realities the problem has an easy solution: we apply a ruler to it and know its measurement.
But with infinite realities we would need an infinitely sized ruler. How could we manufacture one such ruler? Moreover, how could we express in a mathematical formula the size of an infinite reality?
3 – Infinite realities must not be confused with undetermined realities. The number of grains of sand in a beach is not infinite – it’s unknown. If we could construct a machine accurate enough to count the grains of sand in a beach, we could know their number. Even if we had to count the grains of sand of the entire planet.
4 – Probably the most intriguiging question about the nature of an infinite reality is whether it is static or ever-changing.
A static reality is easily identified with a finite one. Measuring it would be only a practical question.
Therefore, an infinite reality must be ever-changing. This looks more like it. The question then is whether such reality is unknowable for being infinite, or merely undetermined?
5 – An infinite reality would be a priory unknowable. This means that the number corresponding to its measurement would not be knowable. Since all numbers express knowable realities, you could not find a number to express it.
This in turn would call for a revolution in mathematics.
An infinite reality, then, would be one with no end and no beginning. Can we conceive anything like this? Probably not.
2 – How can we measure an infinite reality? With finite realities the problem has an easy solution: we apply a ruler to it and know its measurement.
But with infinite realities we would need an infinitely sized ruler. How could we manufacture one such ruler? Moreover, how could we express in a mathematical formula the size of an infinite reality?
3 – Infinite realities must not be confused with undetermined realities. The number of grains of sand in a beach is not infinite – it’s unknown. If we could construct a machine accurate enough to count the grains of sand in a beach, we could know their number. Even if we had to count the grains of sand of the entire planet.
4 – Probably the most intriguiging question about the nature of an infinite reality is whether it is static or ever-changing.
A static reality is easily identified with a finite one. Measuring it would be only a practical question.
Therefore, an infinite reality must be ever-changing. This looks more like it. The question then is whether such reality is unknowable for being infinite, or merely undetermined?
5 – An infinite reality would be a priory unknowable. This means that the number corresponding to its measurement would not be knowable. Since all numbers express knowable realities, you could not find a number to express it.
This in turn would call for a revolution in mathematics.
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