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MTH110

Lab 6

Ryerson University
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Readings

The presentations are exercises on material covered in class and in sections 5.3, 2.1, 2.2 and 2.3.

  • For all presentations from chapter 2, please rewrite any statement which is in symbolic form using formal set notation.
    i.e. all statements in symbolic form should have the form: ∀ or ∃
    You may need to define a set for the domain D and/or the predicate P(x).

  • When you are asked to write something "informally" it means "in English". This means that the statement should have no quantifiers or variables.

Presentations

From the textbook:

Presentation Exercise(s) Difficulty Level
A p. 291 #30 Medium
B p. 291 #33 Medium
C p. 86 #16bdf
Rewrite the English statements in symbolic form, then negate them symbolically, then rewrite the negation informally.
Medium
D p. 95 #2abcegh
First write the original statement is symbolic form assuming that
A = {all animals}, D = {all dogs}, d(x)="x is a dog" and l(x)="x is loyal".
For each question, first translate the statement into symbolic form using the sets A and D and predicates d and l. Use this to explain why this statement is or isn't the negation of the original statement.
Medium
E p. 96 #21, #25
For question #21, first write the statement informally, then write the statement and its negation formally, and then the English version of the negation.
Follow a similar process for question #25
Medium
F p. 96 #43,45
Rewrite these statements formally to explain your work.
Medium
G p. 108 #8
Note that we have a version of Tarski's world available online here
Medium
H p. 109 # 11 b,c
Before answering the question, express each statement in symbolic form.
Hard
I p. 109 #12ef Medium

Levels of Difficulty

There are three levels of difficulty: Easy, Medium and Hard.
By the end of the course, each student will have had the opportunity to present at least one exercise at each level.


Maintained by Peter Danziger.
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Last modified Saturday, 17-Oct-2009 21:36:13 EDT