PPT-Geometry Section 2.3 – Deductive Reasoning

NoteTaking Guide I suggest only writing down things written in red Inductive vs Deductive Reasoning What was our definition of inductive reasoning section 21 Process of looking for patterns making a conjecture and then attempting to prove the conjecture true or false. - Charles Sanders Peirce. Using Models of Reasoning. A Return to Logos. Reasoning from Specific Instances. Progressing from a number of particular facts to a general conclusion. .. This is also known as inductive reasoning.. Arguments. Premise: . statement upon which an argument is based or from which a conclusion is drawn. Premise is either true or false. Arguments: . Consist of one or more premises and one conclusion or claim, which is drawn from those premises. 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:. TOK. Lecture 7: Ways of Knowing - Reason. Part 1: What is reasoning? And, how does it lead to knowledge?. What is reasoning?. A possible answer: reasoning is the mental processing of information.. But, not all mental processing. Section 2.3. : . Using . deductive reasoning to verify conjectures. Chapter 2: Geometric Reasoning. I Can. Determine whether inductive of deductive reasoning is being used for a given scenario.. Apply the Law of Detachment in logical reasoning and determine if it is being used validly.. A Framework for Audience Analysis. Background. Logic has been a formal academic discipline for almost 2,500 years. The 4th century B.C.E. Greek philosopher Aristotle first systematized formal logic, and university logic courses teach Aristotelian logic to this day. For much of western history, logic was one of the main branches of schooling (the classical curriculum consisted of grammar, logic and rhetoric). With the growth of more specialized disciplines and wider curricula in the 20th century, formal logic got lost in the shuffle. In its place, philosophers began formulating courses in what we now call critical thinking, or informal logic. Formal rules and the reduction of sentences to things like. VS. . Inductive . Reasoning. Aristotle. . (Ancient Greek Philosopher). Start with a . premise. Premises lead to a . certain. conclusion. DEDUCTIVE REASONING. Sir Francis Bacon. (17. th. Century English Philosopher). Lecture Outline. Inductive Reasoning. Generalizations. Cause and Effect. Analogy. Deductive Reasoning. Syllogism. Enthymeme. Inductive Reasoning. Inductive Reasoning: Review. The process of citing a number of specific examples or . Culminating Activity . The Social Science Research Project. The Age of Enlightenment (16th to . 18th Centuries) saw the emergence . of a new way or thinking and . approaching the world and its . workings. The Scientific Revolution, . Thinking Mathematically. Objectives. Understand mathematical reasoning . Distinguish between inductive and deductive reasoning . Identify . arithmetic and geometric sequences . Thinking Mathematically. Induction vs Deduction. Fogelin. and . Sinnott. -Armstrong describe the difference between induction and deduction as follows:. Deductive arguments are intended to be valid. Inductive arguments are not intended to be valid but still to provide a reason for the conclusion. This chapter will cover. Reality assumptions. Patterns of deductive reasoning. Using deductive reasoning to test logic, discover truth, make decisions, avoid stereotyping, and understand argument.. Geometry in Nature is Everywhere. Proportions of the human body. In the shape of a shell. .. .. . .. . The bees make their hives into regular hexagons. Honeycomb. The following slides are some more examples of geometry in nature. The Adventures of Sherlock Holmes – Sir Arthur Conan Doyle Deductive Reasoning Vocabulary Activity # 1– Warm Up     My mom was _______ because I refused to clean my room, so she punished me by taking away my phone.