DEDUCTIVE REASONONG

1
2-3

• DEDUCTIVE REASONONG

2
DEDUCTIVE REASONING

• THE PROCESS OF REASONING LOGICALLY FROM GIVEN
  STATEMENTS TO A CONCLUSION.

3
LAW OF DETACHMENT

• IF A CONDIDTIONAL IS TRUE AND ITS HYPOTHESIS IS
  TRUE , THEN ITS CONCLUSION IS TRUE. IF p q IS
  TRUE AND p IS TRUE, THEN q IS TRUE

4
EXAMPLE

• IF 2 ltS ARE SUPPLEMENTARY, THEN THE SUM OF THEIR
  MEASURES IS 180.
• lt1 AND lt2 ARE SUPPLEMENTARY.

5
YOUR CONCLUSION

• THE SUM OF lt1 AND lt2 IS 180.

6
LAW OF SYLLOGISM

• ALLOWS YOU TO STATE A CONCLUSION FROM 2 TRUE
  CONDITIONAL STATEMENTS WHEN THE CONCLUSION OF ONE
  STATEMENT IS THE HYPOTHESIS OF THE OTHER

7
LAW OF SYLLOGISM SYMBOLICALLY

• IF p q AND q r ARE TRUE STATEMENTS, THEN p
  r IS A TRUE STATEMENT.

8
EXAMPLE

• IF KATE STUDIES, SHE WILL GET GOOD GRADES. If
  KATE GETS GOOD GRADES, SHE WILL GRADUATE.

• IF KATES STUDIES, THEN SHE WILL GRADUATE

9
IF YOU STUDY BIOLOGY, THEN YOU ARE STUDYING A
SCIENCE. IF YOU STUDY BOTANY, THEN YOU ARE
STUDYING BIOLOGY.

• IF YOU ARE STUDYING BOTANY, THEN YOU ARE STUDYING
  A SCIENCE