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Basic Categories. . Basic Categories. Target - the category we are interested in understanding better. Basic Categories. Target - the category we are interested in understanding betterSample - the individual or group we already know about or understand. Basic Categories. Target - the category we
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1. Inductive Reasoning Concepts and Principles
of
Construction
2. Basic Categories
3. Basic Categories Target - the category we are interested in understanding better
4. Basic Categories Target - the category we are interested in understanding better
Sample - the individual or group we already know about or understand
5. Basic Categories Target - the category we are interested in understanding better
Sample - the individual or group we already know about or understand
6. Basic Categories Target - the category we are interested in understanding better
Sample - the individual or group we already know about or understand
7. Basic Categories Target - the category we are interested in understanding better
Sample - the individual or group we already know about or understand
8. Basic Categories Target - the category we are interested in understanding better
Sample - the individual or group we already know about or understand
9. Basic Categories Target - the category we are interested in understanding better
Sample - the individual or group we already know about or understand
Feature in question - the property we know about in the sample and wonder about in the target
10. Using the basic categories...Will the governor cut funding for the CSU? Target - the governor’s budget agenda (needs to be an identifiable thing)
11. Using the basic categories...Will the governor cut funding for the CSU? Target - the governor’s budget agenda (needs to be an identifiable thing)
Sample - whatever we already know about his support for education
12. Using the basic categories...Will the governor cut funding for the CSU? Target - the governor’s budget agenda (needs to be an identifiable thing)
Sample - whatever we already know about his support for education
Feature in question - funding for education (notice that the sample's features may not correspond perfectly to those of the target)
13. Two Main Types of Inductive Reasoning Inductive generalization - intends a conclusion about a class of things or events larger than the subset that serves as the basis for the induction
14. Two Main Types of Inductive Reasoning Inductive generalization - intends a conclusion about a class of things or events larger than the subset that serves as the basis for the induction
15. Two Main Types of Inductive Reasoning Inductive generalization - intends a conclusion about a class of things or events larger than the subset that serves as the basis for the induction
Analogical argument - intends a conclusion about a specific thing, event, or class that is relevantly similar to the sample
16. Concerns About Samples Is the sample representative?
17. Concerns About Samples Is the sample representative?
18. Concerns About Samples Is the sample representative?
19. Concerns About Samples Is the sample representative?
20. Concerns About Samples Is the sample large enough?
21. Concerns About Samples Is the sample large enough?
22. Concerns About Samples Is the sample large enough?
23. Focus Point: Fallacy of Anecdotal Evidence
24. Focus Point: Fallacy of Anecdotal Evidence The sample is small, typically a single story
25. Focus Point: Fallacy of Anecdotal Evidence The sample is small, typically a single story
The story may be striking
26. Focus Point: Fallacy of Anecdotal Evidence The sample is small, typically a single story
The story may be striking
The story is treated as though it were representative of the target
27. Focus Point: Fallacy of Anecdotal Evidence The sample is small, typically a single story
The story may be striking
The story is treated as though it were representative of the target
Best use of the anecdote: to focus attention (NOT as key premise)
28. Confidence and Caution
29. Confidence and Caution As sample size grows: either confidence increases or margin of error decreases
30. Confidence and Caution As sample size grows: either confidence increases or margin of error decreases
Inductions never attain 100% confidence or 0% margin of error
31. Confidence and Caution As sample size grows: either confidence increases or margin of error decreases
Inductions never attain 100% confidence or 0% margin of error
In many cases, evaluation of these factors can be reasonable without being mathematically precise
32. Mathematical Note:Law of Large Numbers
33. Analogical Reasoning:The Argument from Design