Methods of Proof
Which version of zero does nature use?
Over the centuries, mathematicians and philosophers have
"proved" that:
"1/0 = Infinity"
"00 = 1"
"Infinity * 0 = 1"
All of which are based on self-referential systems of proof.
It may well turn out that the only truly infinite thing in the entire
Universe is the number of opinions.
Let us look for proof in physics, not philosophy. Physics is where our
assumptions meet the Universe and is an area that has long been troubled
by infinities and other problems which can come about from the way we view
zero. Many of the monsters that keep physicists awake at night come simply
and solely, from using the wrong interpretation of zero, particularly in
using an ordinal interpretation for a null quantity.
It is not the purpose of this article to catalogue all the infinities
and zeros in all theories. However, we have shown that they can be
categorised and we have cited here four examples where a difference is the
treatment of the humble zero is noticeable and remarkable:
Each of these differences arises purely from the way we view zero.
This is a thought experiment that anyone can try at home for themselves.
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