Philosophy | Intermediate Symbolic Logic
P251 | 9738 | Weiner
This course is designed to delve deeper into issues that were
broached in p250. As in p250, our central concern is with the
(semantic) notion of the validity of an argument and with techniques
(both semantic and syntactic) for determining whether or not
arguments are valid. In this sequel to p250, we will look at more
sophisticated formal languages.
We will begin with a quantificational language in which we can
express complex statements involving two place predicates (e.g., ‘x
loves y’), three place predicates (e.g., ‘x is between y and z’),
etc. We will study symbolization, formal logical theories
(including a tableau method as well as a natural deduction method
for establishing the validity of an argument) and model theoretic
interpretation. We will then proceed to introduce more expressive
power into our formal language and formal theories by the addition
of techniques to express functions (e.g., the successor of x, the
mother of x), and identity.
Time permitting, we will also do a bit of modal logic, multi-valued
logic and/or set theory. There will be weekly homework assignments,
two mid-term examinations and a final examination. P250 is the
prerequisite for this course.