The stuff
Reality is made of – Part 2 – Induction - by P.K. Odendaal - July 2019
We continue our exploration of the Universe with a second postulate.
POSTULATE 2
– GENERAL PROOF BY WAY OF INDUCTION IS A VALID UNIVERSAL PHENOMENON AND PRINCIPLE.
We are going to use Hilbert Space to prove this.
There is a principle in mathematics called
induction which is a mathematical proof technique. It is essentially used to prove that a property
holds for every natural number n, i.e. for n = 0, 1, 2, 3, and
so on.
The
problem arises from the … and so on. Is that up to ten, up to ten million or up
to infinity? If we start at counting we know intuitively that it is valid for
all integers up to infinity. The question which begs itself is: How far should
we go until we accept it as being true. In the mentioned case ten is enough for
me and a million is enough for a sceptic.