Lecture # 1 Fundamental Concepts in Logical Thinking and Reasoning Instructor: Sumera Kazi 1 1. Logic and its terms 2. Introduction to Arguments Getting started with Logical Reasoning 3. Introduction to Conclusions 4. Introduction to Questions Catalog 5. Introduction to Evidences 6. Introduction to Flaws 7. Anatomy of a Logical Reasoning Question 8. Practice Questions 2 Definition: Logic is the systematic study of valid rules of reasoning to conclusion, more broadly, logic is the examination and judgment of arguments. Logic & Its Terms Terms: 1. 2. 3. 4. 5. 6. 7. Arguments Conclusion Justification Reasoning Assumptions Inferences Fallacy 3 2 Rules of Good/Sound Argument Rule 1: Reason must be true Rule 2: Conclusion must follow a process of reasoning Elements 1 Argument Claim (True/False: St of argument you hope to prove) Ground (Is there any evidence to support the claim?) Warrant (Connection between claim & ground, does ground justify the claim) Types Deductive (from general premise to specific premise) "All bald men are grandfathers. Harold is bald. Therefore, Harold is a grandfather," Inductive (from specific premise to general premise) "Harold is a grandfather. Harold is bald. Therefore, all grandfathers are bald.“ 4 A conclusion is a statement that has been reached by a process of reasoning. Examples: This job description is inadequate because it is too vague. It doesn't even list the specific tasks that should be performed, and it doesn't say how my performance will be evaluated. keywords of a conclusion sentence or a conclusion clause; 2 Conclusion Thus Therefore Hence So Conclude It follows that As a result Clearly Obviously Nevertheless Nonetheless Warning! If not these conclusion words, then; The cat will run away if you open the door. That's because the cat doesn't like being inside. The basics Support: A claim that acts as evidence for another claim. Conclusion: A claim that is backed by support. Background: A statement that provides contextual information but doesn’t play a role in the argument. 5 Justification 3 Justification Not sure about certainty of the claim, then justification/warrant helps in proving that claim. For example, a crime has been committed. The victim (we’ll call her Vera) claims that her neighbor (Nick) was the one who did it, perhaps because she doesn’t like him, or perhaps because she wants to see someone convicted, and anyone will do. Other than this she has no reason for making the allegation, and certainly nothing that would count as evidence. But then suppose it is discovered that Nick, just as Vera has claimed, is guilty of the crime! Would the discovery of Nick’s guilt justify Vera’s accusation? No. It would just be chance that the claim she had made was true. Given her motives her claim would still be a lie. Weak Justification. Pertaining same situation, if there were CCTV coverage and Nick was caught on Camera: Strong Justification. 6 Example 1 CLAIM: War is not stopped by technological progress. GROUND: Inventions of gunpowder, nuclear weapons. WARRANT: Technological progress is driven by war; in fact, technology tend to make war more destructive. Example 2 Examples CLAIM: Historians and social scientists can prevent poverty through economic policy. GROUND: New deals, social security. WARRANT: Social programs prevent poverty. Example 3 CLAIM: Student are using e-books more as compared to paper books. GROUND: Free downloading access, readily available. WARRANT: Students learn more readily from electronic media than they learn from print media. 7 Mental thinking process looking for reasons to beliefs, conclusions, feelings and actions. Examples: 4 Reasoning You are late because your car ran out of gas. I have to pay late fees as I was out of the station. Sara is the best athlete in the province. After all, she has won medals in 8 different Olympic sports. The reason he was climbing the mountain so quickly is that he is a professional hiker. 8 An Assumption is an unspoken idea on which a statement rests. Something that we think is true. Examples: 5 Assumption I don’t like people who continually interrupt me; therefore, I don’t like Javed: Assumed: Javed continually interrupts the author. We assume that if we follow proper SOPs in this COVID-19, we will be saved from it. 9 When we arrive at a new belief on the basis of reasons, we are said to draw an inference. Pull from Examples: 6 Inferences 80% of the people in a carefully conducted poll are going to vote for Islamic Party. Inferred: The Islamic Party will win. Only a minority of children under the age of 6 have visited a dentist. Inferred: A majority of children under the age of 6 have not visited a dentist. 10 7 Fallacy Flawed lines of reasoning An error in reasoning that invalidate the argument. A mistaken belief, esp. based on unsound argument. Examples: Titanic was unsinkable, said by people in 1912. We should ban the hairspray or else the world will end. Tigers and lions are ruthless killers so house cats must also be ruthless killers. 11