Being Singular

The Liar Paradox is an argument that arrives at a contradiction by reasoning about a Liar Sentence, which becomes an exhausting exercise to determine truth. For instance, if I say, “Everything that I say is a lie” and if I am actually telling the truth, then I can’t be lying. If I am lying when I say this, then I just told the truth, so this becomes an exercise in futility.

In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as the lack of differentiability or analyticity.  According to science, a singularity is a point of infinite density and infinitesimal volume, at which space and time become infinitely distorted according to the theory of General Relativity.  The big bang theory states that a gravitational singularity existed at the beginning of the universe.  The technological…