By Katz N.M.

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Extra resources for A conjecture in arithmetic theory of differential equations (Bull. Soc. Math. Fr. 1982)

Example text

1B Propositions and Truth Values A proposition has a truth value of either true (T) or false (F). If a proposition is true, its negation must be false, and vice versa. We can represent these facts with a simple truth table—a table that has a row for each possible set of truth values. The following truth table shows the possible truth values for a proposition p and its negation not p. It has two rows because there are only two possibilities. p not p T F F T d This row shows that if p is true (T), not p is false (F).

Describe an instance in which you were persuaded of something that you later decided was untrue. Explain how you were persuaded and why you later changed your mind. Did you fall victim to any fallacies? If so, how might you prevent the same thing from happening in the future? Propositions and Truth Values Having discussed fallacies in Unit 1A, we now study proper arguments. The building blocks of arguments are called propositions—statements that make (propose) a claim that may be either true or false.

An argument in which the conclusion essentially restates the premise is an example of a. circular reasoning.  limited choice. logic. the fact that a statement p is true is taken to imply that the opposite of p must be false. the fact that we cannot prove a statement p to be true is taken to imply that p is false. a conclusion p is disregarded because the person who stated it is ignorant. ” What is the conclusion of this argument? I don’t trust his motives. I don’t support the President’s tax plan.