### TRUTH GAPS, TRUTH GLUTS, AND THE LIAR PARADOX

Jeremiah Joven B. Joaquin

#### Abstract:

The liar paradox results from a line of reasoning that starts with the
liar sentence, ‘This sentence is false’ and ends with a contradictory
conclusion, ‘The liar sentence is both true and false’. There have been
solutions to the paradox that preserve the standard conception of truth
and the classical notion of logical validity. In this paper, I explore
nonstandard solutions to it. In particular, I focus on two non-classical
solutions to the liar paradox; viz., the gappy and the glutty solutions.
According to the gappy solution, the liar sentence is neither true nor false,
and the reasoning that leads to the paradoxical conclusion is unsound.
On the other hand, according to the glutty solution, the paradoxical
conclusion is correct, but any subsequent reasoning from it is invalid. I
show some ways of motivating each of these solutions. Next, I show what
each implies about the notions of truth and validity, and how each solves
the paradox. Finally, I highlight some of the more recent problems that
could be pitted against each of these solutions.

ISSN ISSN 2244-1875 (Online)

ISSN 2244-1883 (Print)