2. INDUCTIVE REASONING We reason inductively when we reach a conclusion based on the observation of some pattern

3. 16 feet Rapunzel lives in a tower. Her window is 16 feet above the ground.

5. Rapunzel, Rapunzel let down thy hair!

6. It took exactly one second for the rabbit to land

7. The next night, the prince tries again.

9. Rapunzel, Rapunzel let down thy hair!

10. It took exactly one second for the rabbit to land

11. The next night, the prince tries again.

13. Rapunzel, Rapunzel let down thy hair!

14. It took exactly one second for the rabbit to land

15. The same thing happens every night for two weeks… finally...

17. Rapunzel, Rapunzel let down thy hair!

18. Yet again, it took exactly one second for the rabbit to fall the 16 feet from Rapunzel’s window!

19. Using my amazing powers of INDUCTIVE REASONING I conclude that a rabbit under the influence of gravity falls 16 feet in one second.

20. Finally becoming weary of Rapunzel and her rabbits, the prince decides to seek bunnies elsewhere

21. YE OLDE PLAYBOY INN

22. END OF TALE

23. Laws of science are derived using INDUCTIVE REASONING - they are conclusions drawn from the patterns we observe in nature Consider one more example of inductive reasoning

24. The sum of the first ten odd counting numbers ?

25. Sum of the first 2 = 2x2 Sum of the first 3 = 3x3 Sum of the first 5 = 5x5 Sum of the first 4 = 4x4

26. The sum of the first ten odd counting numbers Sum of the first 2 = 2x2 Sum of the first 3 = 3x3 Sum of the first 5 = 5x5 Sum of the first 4 = 4x4 If you observe the pattern, and conclude that the sum of the first 10 odd counting numbers is 10x10 then you are using inductive reasoning!

27. Inductive reasoning does not always yield a true conclusion. Based on observation and experience, some ancient people concluded that the sun revolved about the earth.

28. However, we cannot know anything about reality without inductive reasoning!