Table of Contents
Why is a number divided by 0 undefined?
The reason that the result of a division by zero is undefined is the fact that any attempt at a definition leads to a contradiction. r*0=a. (1) But r*0=0 for all numbers r, and so unless a=0 there is no solution of equation (1).
Is the following true or false ∅ ∈ ∅?
(i) ∅ ∈ ∅. Answer. False; there are no elements in the empty set.
How do you identify the hypothesis and conclusion of a conditional statement?
SOLUTION: The hypothesis of a conditional statement is the phrase immediately following the word if. The conclusion of a conditional statement is the phrase immediately following the word then. Hypothesis: Two lines form right angles Conclusion: The lines are perpendicular.
Which of the following is not true 0 belongs to 0 0?
PART IS NOT TRUE AS 0/0 IS ‘UNDEFINED’ NOT ‘O’ ,as denominator can be any real-number; not equal to 0 and it evaluates only to undefined.
Which of the following is true 0 belongs to empty set?
No. The empty set is empty. It doesn’t contain anything. Nothing and zero are not the same thing.
When you negate the hypothesis and conclusion of a conditional statement?
Chapter 2 Vocabulary
| A | B |
|---|---|
| inverse | the statement formed when you negate the hypothesis and conclusion of a conditional statement |
| negation | the negative of a statement |
| equivalent statements | two statements that are both true or both false |
| perpendicular | lines that intersect to form a right angle |
What is a valid and invalid argument?
A valid argument is thus a deductive argument – an argument that attempts to establish conclusive support for its conclusion – that succeeds. Definition: An invalid argument is a deductive argument that fails in providing conclusive support.
What is validity in non-deductive arguments?
Validity is about succeeding in providing conclusive support for the conclusion, if the premises were true. For non-deductive arguments, we don’t talk about valid and invalid arguments, we talk instead about strong and weak arguments.
What is the conclusion of if a is true then B?
If A is true then B is true. A is true. Therefore, B is true. The conclusion is that B is true . The premises are If A is true then B is true and A is true. The premises support the conclusion that B is true . The word “therefore” is not part of the conclusion: It is a signal that the statement after it is the conclusion.
What is the difference between validity and validity of an argument?
But claiming that an argument is valid is not to claim that the premises are true. Validity is about succeeding in providing conclusive support for the conclusion, if the premises were true.