PHIL150:
Symbolic Logic
(Q-course)
Text:
Language,
Proof and Logic by
Barwise and Echemenedy. (This is an excellent,
new book-software ensemble. It includes state of the art
programs to assist teachers and students of logic. Click the
picture to visit its website.)
Requirements:
You will
pass
only if you take both exams (mid-term and final) and only if
you earn at least 60 of the possible 100 points.
Grade:
Of the 100 points possible, 40 are from the
mid-term exam, 40 are from the final exam, and 20 are from
four of the five pop-quizzes.
Content:
We will cover all of
the non-optional sections of Parts I and II of Language,
Proof and Logic. We will consider both the syntax and the
semantics of First Order Logic (FOL). In considering the syntax,
we will examine both the language of FOL and a derivation system
for FOL. In considering the semantics, we will attend to the
basic semantic concept of truth on a model, or relative to a
structure. We will also examine relationships between certain
syntactic concepts, such as derivability, and certain semantic
concepts, such as logical truth. In addition, we shall consider
such topics as the nature of scientific inference, Russell's
Paradox, and extensions of FOL