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Math assignment - Logic and Reasoning, Assignments of Mathematics

Bulacan State University (BSU)Mathematics

Logical Reasoning using Venn Diagrams

Typology: Assignments

2020/2021

Uploaded on 06/18/2021

via-gonzales
via-gonzales 🇵🇭

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Page 100
2 is an even number.
12 is an even number.
22 is an even number.
Therefore, all numbers ending in 2 are even.
P1 P2 P3
Combination
Conclusion applies in all combination. It is a tautology. Hence, the argument is valid
E
E
12
2
E
22
E
N2
pf3
pf4

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Page 100

2 is an even number.

12 is an even number.

22 is an even number.

Therefore, all numbers ending in 2 are even.

P1 P2 P

Combination

Conclusion applies in all combination. It is a tautology. Hence, the argument is valid

E E

E

E

N

  1. All statesmen are politicians.

Some statesmen are intelligent.

Not all politicians are intelligent.

Therefore, some politicians are not intelligent.

P1 P2 P

Combination

Conclusion applies in all combination. It is a tautology. Hence, the argument is valid

  1. All novelists are observant.

Some poets are not observant.

Therefore, no novelist is a poet.

P1 P

Combination

P

S

I

S

P I

O

N

P O

O

N

P

O

N

P

P

S

I

Combination

Conclusion applies in all combination. It is a tautology. Hence, the argument is valid

  1. All aviators are brave.

Patrick is brave.

Therefore, Patrick is an aviator.

P1 P

Combination

FALSE TRUE

Conclusion applies only in one conclusion. It is not a tautology (contingency). Hence, it is invalid

E

F

G

B

A

B

P

B

A

P

A B

P