Free Online Course Offered by Coursera: Think Again II: How To Reason Deductively

Coursera is offering a free online course themed (Think Again II: How to Reason Deductively).

Deductive arguments are supposed to be valid in the sense that the premises guarantee that the conclusion is true. In this course, you will learn how to use truth-tables and Venn diagrams to represent the information contained in the premises and conclusion of an argument so that you can determine whether or not the argument is deductively valid. 

Course duration:

12 hours.

Course level:

Beginner.

Course modules:

• Welcome to the Course

Welcome to Think Again: How to Reason Deductively! This course is the second in the specialization Introduction to Logic and Critical Thinking, based on our original Coursera course titled Think Again: How to Reason and Argue. We are excited that you are taking this course, and we hope that you will stick around for all four courses in the series, because there is a great deal of important material to learn.In the series as a whole, you will learn how to evaluate deductive arguments. What is it for a deductive to be “valid”? And how can you tell the difference between deductive arguments that are valid and those that aren’t? In this course, we will answer these questions.

• Propositional Logic and Truth Tables

This week we will teach you how such phrases as “and”, “or”, “if”, and “not” can work to guarantee the validity or invalidity of the deductive arguments in which they occur. It will also teach you to understand the functioning of these phrases using a device called a “truth-table”, which shows how the truth or falsity of propositions that use these phrases depends upon the truth or falsity of the propositions contained within it. We highly recommend that you practice the skills that you will learn in this week by doing the puzzles at betapuzzle.sonjara.com. LEARNING OUTCOMES: By the end of this week’s material you will be able to: define what a deductive argument is define what it is for a deductive argument to be valid identify truth-functional operators and connectives build a truth-table for any truth-functional operator or connective.

• Categorical Logic and Syllogisms

This week will teach you how such phrases as “all”, “some”, and “none” can work to guarantee the validity or invalidity of the deductive arguments in which they occur. It will also teach you to understand the functioning of these phrases using a device called a “Venn Diagram”, which shows how the truth or falsity of propositions that use these phrases depends upon the truth or falsity of other propositions that use these phrases. We highly recommend that you practice the skills that you will learn in this week by doing the puzzles at http://philgames-neta.apps.unc.edu. LEARNING OUTCOMES: By the end of this week’s material you will be able to : understand the information conveyed by a truth-table use truth-tables to determine whether a deductive argument is valid identify quantifiers and categories build a Venn Diagram for any statement using quantifiers or categories

• Representing Information

This week we will teach you how to use the tools that you’ve learned about in the preceding modules in order to represent information. Information can be communicated in very different ways – by means of different languages or signaling systems – but no matter how that information is communicated, it can be important to use that information in reasoning. In this week, you will learn how to reason from information that is communicated directly by means of truth-tables or Venn Diagrams. LEARNING OUTCOMES: By the end of this week's material you will be able to: understand the information conveyed by a Venn Diagram and use Venn Diagram to determine whether a deductive argument is valid

• Catch-Up and Final Quiz

This week gives you time to catch up and review, because we realize that the previous weeks include a great deal of challenging material. It will also be provide enough time to take the final quiz as often as you want, with different questions each time. We explain the answers in each exam so that you can learn more and do better when you try the exam again. You may take the quiz as many times as you want in order to learn more and do better, with different questions each time. You will be able to retake the quiz three times every eight hours. You might not need to take more than one version of the exam if you do well enough on your first try. That is up to you. However many versions you take, we hope that all of the exams will provide additional learning experiences.

Benefits offered:

• Coursera offers 100% online learning from the world’s best universities and educational institutions. For access to the readings and lectures only, enroll with audit mode.
• Each course is like an interactive textbook, featuring pre-recorded videos, quizzes, and projects. Connect with thousands of other learners to debate ideas, discuss course material, and get help mastering concepts.
• When you successfully complete the course assignments, you receive a shareable electronic Course Certificate that you can add to your resume and LinkedIn.

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