Free Printable Week 1- Basics of Mathematical Logic

1.

What are the five basic logical connectives used in mathematics?

4 lines

2.

How would you describe what it means for a statement to not be a mathematical statement? Give an example.

4 lines

3.

If $p\wedge\ q\$ is false and $p\vee q$ is true , then which of the following is not True.

a)

$p\vee q$

b)

$p\leftrightarrow q$

c)

$\neg p\vee\neg q$

d)

$q\vee\neg p$

4.

$\left(p\wedge q\right)\rightarrow r\$ is logically equivalent to

a)

$p\rightarrow\left(q\rightarrow r\right)$

b)

$\left(p\wedge q\right)\rightarrow\neg r$

c)

$\left(\neg p\vee\neg q\right)\rightarrow\neg r$

d)

$\left(p\vee q\right)\rightarrow r$

5.

"If a Function is differentiable then it is Continuous."What is Contra-positive of Statement .

a)

If a function is not continuous then it is not differentiable

b)

If a function is not differentiable then it is not continuous.

c)

If a function is continuous then it is differentiable

d)

If a function is not continuous then it is differentiable.

6.

Examine $\left(p\wedge q\right)\wedge\left(\neg p\vee\neg q\right)$

a)

Tautology

b)

Contradiction

c)

Contingency

d)

None of these

7.

This symbol, ∧, means?

a)

and

b)

or

c)

not

d)

implies

8.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

implies

9.

This symbol, ↔, means?

a)

and

b)

or

c)

if and only if

d)

implies

10.

T Λ F =

a)

T

b)

F

c)

Uncertain

11.

Which statement has a true truth value?

a)

Fish can walk

b)

Chicken has four legs.

c)

Birds can fly.

d)

Shark has two legs.

Week 1- Basics of Mathematical Logic

Total questions: 11

Worksheet time: 55mins

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