Day 7: (Continued Story) the Paradox

For the continued story of contradiction, this time I'd like to introduce you something more exciting, it's called--Paradox, which is more fascinating to me, and it leads to uncoordinated contradictions. So first we need to know the difference and connection between paradox and contradiction. Generally, a contradiction is a statement that contains more than one propositions which cannot be all true at the same time, the solution is you have to discard some of them. While paradox is a statement that can neither be true nor false for both of the situation would lead to contradictions and there is no solution to fix it.

Penrose Stairs. It never ends. (photo source)

By the explanation above, it is easy to see that the example in the former blog entry is a contradiction, because the announcement "I’m not going to post today" and the fact that "I posted it at last" (stated in another way) cannot be all true at the same time. There are also some similar contradictions stated as "I'm not typing on a computer", "I'm saying nothing", "The color of these words is red"...and so on.

Day 6: the Day for Break

Seriously this is not even a break since I am still writing my 6th blog entry, but I'm also announcing that I won't post blog entry today by publishing a blog entry, so there is a contradiction.

CONTRADICTION LEADS TO MISERIES. (photo source)

It is very powerful to use contradictions to show some systems that are not self-consistent. To prove whether there are contradictions, the only thing you need is logical deduction, then soon or later you will know it. But once it was being proved that a system is self-consistent or there is no contradiction, then it is a perfect well-functioning system, that's the reason why Riemannian geometry and Hyperbolic geometry are being widely accepted by the whole world even they go against people's intuition.