Introduction to Logic
Practice Exam for Unit 4/Exams 4 & 6
Instructions. For each of the following arguments, construct a formal derivation of the
conclusion from the premises.
1. x(Gx Hx)
x Hx
Ha
SHOW x Gx & x Gx
2. x[(F x Gx) ( Hx & I x)]
x Hx
SHOW x
The Limitations of Sentential Logic
Unit 3 Notes
Unit 3 Notes
Introduction to Logic, Unit 3
Predicate Logic
Quantiers
Predicate Logic
Quantiers
Translations in
Monadic
Predicate Logic
Translations in
Monadic
Predicate Logic
In sentential logic, a letter r
Basic Denitions
Unit 1 Notes
Unit 1 Notes
Basic Denitions
Basic Denitions
Example
Arguments
Induction and
Deduction
Validity and
Soundness
Argument Form
Introduction to Logic, Unit 1
Kevin C. Klement
UMassAmherst
Example
Arguments
Induction and
Deduction
The Limitations of Sentential Logic
Unit 3 Notes
Unit 3 Notes
Introduction to Logic, Unit 3
Predicate Logic
Quantiers
Predicate Logic
Quantiers
Translations in
Monadic
Predicate Logic
Translations in
Monadic
Predicate Logic
In sentential logic, a letter r
Introduction to Logic Practice Exam for Unit 3/Exams 3 & 5
Instructions. Translate the following statements into the language of
predicate logic. Use the rst letters of the capitalized words in your
translations (either as lower or uppercase).
1. NEPTUNE
INTRO LOGIC
DAY 19
Translations in PL 5
1
EXAM #3 Tuesday, in class
Office Hours: Mon 12:30 2:30 Tue 11:00 12:45 363 Bartlett 25 translations from English into Predicate Logic 4 points each Only final formula is graded. Do intermediate work on scratch pap
INTRO LOGIC
DAY 24
Derivations in PL 4
1
EXAM #4 Tuesday, in class
Exam 4 to be returned Thursday in class Office Hours: Mon 12:30 2:30 Tue 11:00 12:45 363 Bartlett Exams 5, 6 Thu, Dec 15, 8:00-10:00, Mahar Exams are scheduled concurrently; you have two h
Introduction to Logic
Practice Exam for Unit/Exam 2
Instructions. For each of the following arguments, construct a formal derivation of the
conclusion from the premises.
1.
2.
3.
(P ! Q) & (Q _ R)
T ! (R ! H )
T & H
SHOW S _ P
(S _ P ) $ ( T ! R )
SHOW (R
Introduction to Logic Practice Exam for Unit/Exam 1
A. Validity and Soundness
True and False. For each question, answer True or False.
1. Every argument with a false conclusion is unsound.
2. Every argument that is valid and has a true conclusion is sound
Introduction to Logic Practice Exam 4 Answers
(Keep in mind there are always multiple ways of doing a problem. Problem #2
For each, I have given only one possible solution, usually the shortest.)
1.
x[(Fx Gx) (Hx & Ix)]
2.
Problem #1
1.
3.
x(Gx Hx)
Pr
4.