PPT-Induction and Deduction Inductive Reasoning

Induction is the process of drawing a general conclusion from incomplete evidence You consider evidence you have seen or heard to draw a conclusion about things you havent seen or heard The intellectual movement from limited facts . EECS . 203. : Discrete Mathematics. Lecture . 11 . Spring 2015. 1. Climbing the Ladder. We want to show that ∀. n. ≥1 . P. (. n. ) is true.. Think of the positive integers as a ladder.. 1, 2, 3, 4, 5, 6, . . .. 3. August . 25, . 2015. (1.2 in your . books – pre-quiz today). Meme Moment. Scientist of the Day. Chris Hadfield. Saw the Apollo 11 moon landing when he was 9 and decided to be an astronaut. Test pilot. It’s Logical. What is Logic?. Logic. – The science of correct reasoning.. Reasoning. . – The drawing of inferences or conclusions from known or assumed facts. .. There are two main types of reasoning:. Chapter 5. With Question/Answer Animations. Chapter Summary. Mathematical Induction. Strong Induction. Well-Ordering. Recursive Definitions. Structural Induction. Recursive Algorithms. Program Correctness (. Chapter 5. With Question/Answer Animations. 1. Chapter Summary. Mathematical Induction. Strong Induction. Well-Ordering. Recursive Definitions. Structural Induction. Recursive Algorithms. Program Correctness (. Ch. 2.1. Inductive Reasoning. - uses a number of specific examples to arrive at a conclusion.. used . in applications that involve prediction, forecasting, or . behavior . derived . using facts and instances which lead to the formation of a general . Solution. We know one (A, B or C) is defective by .1…so….. Weigh TWO ball-bearings . from A and . ONE from . B. . If . the combined weight is three ounces, then you know that C is defective. . If . Chapter 5. With Question/Answer Animations. Chapter Summary. Mathematical Induction. Strong Induction. Well-Ordering. Recursive Definitions. Structural Induction. Recursive Algorithms. Program Correctness (. Section 5.1. Climbing an . Infinite Ladder. Suppose we have an infinite ladder:. We can reach the first rung of the ladder.. If we can reach a particular rung of the ladder, then we can reach the next rung.. Section Summary. Mathematical Induction. Examples of Proof by Mathematical Induction. Mistaken Proofs by Mathematical Induction. Guidelines for Proofs by Mathematical Induction. Climbing an . Infinite Ladder. CT 101. Dr. Bowman. Deductive argument. A . deductive argument.  is an argument that is intended by the arguer to be deductively valid, that is, to provide a guarantee of the truth of the conclusion provided that the argument's premises are true. . To form conjectures through inductive reasoning. To disprove a conjecture with a counterexample. To avoid fallacies of inductive reasoning. Example 1. You’re at school eating lunch. You ingest some air while eating, which causes you to belch. Afterward, you notice a number of students staring at you with disgust. You burp again, and looks of distaste greet your natural bodily function. You have similar experiences over the course of the next couple of days. Finally, you conclude that belching in public is socially unacceptable. The process that lead you to this conclusion is called. Induction Cooktop Market report published by Value Market Research is an in-depth analysis of the market covering its size, share, value, growth and current trends for the period of 2018-2025 based on the historical data. This research report delivers recent developments of major manufacturers with their respective market share. In addition, it also delivers detailed analysis of regional and country market. View More @ https://www.valuemarketresearch.com/report/induction-cooktop-market Lecture 15. Announcements . Midterm information (topic coverage, practice material, logistics, etc.) will go up on the webpage tonight. . Study materials (including last quarter’s midterm). Section next week will be mostly midterm review.