Academic Writing and Logical Thinking

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NAGOYA UNIVERSITY LIBRARY WORKSHOPS 2016 Academic Writing and Logical Thinking May 18 ~ June 15, 2016 Instructor: Dr. Paul Lai

NAGOYA UNIVERSITY LIBRARY WORKSHOPS 2016 Review

All academic writers are required to know The Writing Requirement How words can be properly arranged to express the ideas. The Thinking Requirement How ideas can be properly arranged so that they can be properly expressed through words in a clear & convincing manner.

Being Clear Having a Truth Condition One Sentence Thesis Statement Minimum Lexical & Structural Ambiguity Non-Compound Sentence Structure 4

Thesis Statement Support 1 Support 2 Support 3

(Homework) (i) Think about a paper that you are planning to write. (ii) Develop a thesis s t a t e m e n t f o r t h e paper. (iii) Presenting your thesis statement on June 15.

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How to use logic practically

What is logic?

An Instrument for Acquiring Knowledge

Logic is the organon, or instrument of thought, which is specifically used for acquiring knowledge. According to Aristotle, we would not come to know anything without logic. 384-322 BC

KNOWLEDGE ACQUISITION When you see many people inside a subway station wearing a wet raincoat or carrying a wet umbrella, what can you tell? It must be raining outside.

KNOWLEDGE ACQUISITION INFERENTIAL RELATION Wet raincoats Rain outside

What is inference?

INFERENTIAL RELATION Statement 1 True Statement 2 True e.g. If Peter is in Tokyo, then Peter is in Japan.

INFERENTIAL RELATION Statement 1 False Statement 2 False e.g. If Peter is not in Japan, then Peter is not in Tokyo.

The truth/falsity of statement 1 affects the truth/falsity of statement 2

Some examples of logical inferences All people who live in Yada Residence are teachers. No one who lives in Yada Residence is not a teacher. Teacher Yada Residence

Some examples of logical inferences Some people who live in Yada Residence are teachers. Some people who live in Yada Residence are not teachers. Teacher Yada Residence

Some examples of logical inferences No men are angels. No angels are men. Men Angels

Some examples of logical inferences All dogs are animals. All animals are dogs. Animals Dogs

Some examples of logical inferences All human beings are animals. Peter is an animal. Animals Peter Human beings

Some examples of logical inferences All human beings are animals. Peter is a human being. Peter is an animal. Animals Peter Human beings

Understanding how to make logical inference is vital for understanding logic

Exercises on logical inference 1

Logical Inference Premise Conclusion Part A of the exercises is designed to train you how to make a proper inference based on a premise.

Each one of the exercises comes with (i) one statement corresponding to a factual event, and (ii) four inference choices that follow from (i). Although more than one of the four choices might be logical, you need to find out the one that is most likely / certainly true following from the truth of (i). e.g. England Ex-1. Paul is in London. London (a) Paul is on a business trip. (b) Paul will not come back to Japan for a while. (c) Paul is in England. (d) Paul likes London.

Exercises on logical inference 2

Logical Inference Conclusion Premise Part B is designed to train you how to find the proper premise for a conclusion.

Each one of the exercises comes with one conclusion and four premises. Find out the premise without which the conclusion is most certainly false. Note that your consideration is restricted to the four possible premises only, and you are supposed to choose, among the four, the one that provides the necessary support for the conclusion. Further note that additional premise or premises may be needed in order to make the conclusion true.

Fun Exercise!! Solving Logical Puzzles

Puzzle 1: Who is doing what?

Alonzo, Kurt, Rudolf, and Willard are four creative artists of great talent. One is a dancer, one is a painter, one is a singer, and one is a writer, though not necessarily in that order. (1) Alonzo and Rudolf were in the audience the night the singer made his debut on the concert stage. (2) Both Kurt and the writer have had their portraits painted from life by the painter. (3) The writer, whose biography of Willard was a best-seller, is planning to write a biography of Alonzo. (4) Alonzo has never heard of Rudolf. What is each man s artistic field?

Thank you very much!