Quote by xts
1. Have you ever seen any pattern extending to infinity?

I don't have to. You have never seen an electron, yet you can measure and deduce its properties. The probability amplitude peaks at a definite point in space and becomes zero everywhere else
only after a measurement is done. This has been experimentally verified and implemented in a number of applications.
2. Even if so  where is inconsistency?
Natural numbers extend to infinity and they are "discrete" if you look at them with real numbers in a background.

There is clearly the contradiction that LostConjugate spoke about  it's a problem of classical realism and lots of human baggage. But to say that there is no contradiction with our everyday concepts when an electron interferes with itself, is an exaggeration.
Of course, infinite pattern must be composed of infinite number of "discrete" elements, the same way as finite pattern is composed of finite number of discrete photons.
But "infinite number of distinct elements" is not an oxymoron.

Thinking of an electron in motion towards the detector plate as an "infinite pattern" and then interfering with itself gives everyone a headache. If you think you understand how a single electron can pass through both slits at the same time, that's a solid indication that you don't understand it.