Test 1 Review Information

Test 1 is on Thursday (9/30) in class. It will be closed book and notes, except you will be allowed to bring your yellow sheet of Logic Rules and one other sheet of paper (8.5" x 11" both sides) with notes.

Below are the hightlights of each section:

**Section 1.1**

Topics: statement/proposition, conjunction, disjunction, implication, antecedent, consequent, equivalence, well-formed formula (wff), tautology, contradiction

Skills:

Use the formal symbols of propositional logic

Translate between English sentences and propositional logic

Find the truth value of an expression in propositional logic

Apply DeMorgan's law when negating a wff

Construct truth tables for compound wffs

Use truth table to show equivalence of two propositional wffs

Recognize tautologies and contradictions

**Section 1.2**

Topics: propositional wffs, propositional logic, valid argument, hypotheses, conclusion, proof sequence, equivalence rules, inference rules,

Skills:

Apply derivation rules for propositional logic to construct formal proofs of arguments

Use propositional logic to prove the validity of a verbal argument.

**Section 1.3**

Topics: universal quantifier, predicate, domain of interpretation, existential quantifier, scope of quantifiers, validity of a predicate wff

Skills:

Determine the truth value of a predicate wff in a given interpretation

Translate English language statements into predicate wffs, and vice versa

Recognize a valid wff and explain why it is valid

Recognize a nonvalid wff and construct an interpretation in which it is false or has no truth value

**Section 1.4**

Topics: universal instantiation, existential instantiation, universal generalization, existential generalization, temporary hypothesis, verbal argument

Skills:

Apply derivation rules for predicate logic

Use predicate logic to prove the validity of a verbal argument