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3. Induction and Pattern Recognition 42
Types of Explanation 43
Coincidence 45
Correlation 46
Examples 47
Crossplots 50
Plotting Hints 52
Extrapolation and Interpolation 53
Correlation Statistics 55
Nonlinear Relationships 58
Correlation Conclusions 60
Perspectives on Causality 60
Mill's Canons: Five Inductive Methods 64
Method of Agreement 65
Method of Difference 66
Joint Method of Agreement & Difference 67
Method of Concomitant Variations 67
Method of Residues 67
Correlation or Causality? 68
4. Deduction and Logic 71
Logic 72
Deduction vs. Induction 73
Deductive Logic 74
Classification Statements 75
Deductive Aids: Venn Diagrams and Substitution 76
Logically Equivalent Statements 78
Relationships among Statements 80
Syllogisms 82
Categorical Syllogisms 83
Hypothetical Syllogisms 85
Pitfalls: Fallacious Arguments 86
Fallacies Resulting from Problems in a Premise 88
Fallacies Employing Extraneous Other Evidence 90
Faulty Link between Premises & Conclusion 92
Case-dependent Relationship between Parts & Whole 94
5. Experimental Techniques 97
Observational versus Experimental Science 98
Seizing an Opportunity 101
Experimental Equipment 101
Prototypes and Pilot Studies 102
Troubleshooting and Search Procedures 104
Problem: Find a Needle in a Haystack 109
Problem: Search for the Top Quark 110
Tips on Experimental Design and Execution 110
Pitfalls of Experimental Design 116
Control of Variables 117
Problem: the Noisy Widgetometer 120
Computation and Information Handling 121
LIVING SCIENCE
6. The Myth of Objectivity 125
Perception: Case Studies 125
Perception, Memory, and Schemata 131
Postmodernism 135
Pitfalls of Subjectivity 137
Experimental Design 137