Question

If the rain does not come, then the crops are ruined and the people will starve. The crops are not ruined or the people will not starve.
Therefore, the rain comes.
i. Identify the premises and the conclusion.
ii. Use appropriate symbols to represent the statement in the argument.
iii. Write the argument forms using symbols.
iv. Check the validity.

Answer 1

p = rain does not come
q = crops are ruined and the people will starve

p -> q

You have ~q, so ~p (contrapositive)

since q = r and s, ~r or ~s = ~q

Answer 2

p implies q

Answer 3

Give the answer

Answer 4

I want to be a mathematician

Answer 5

Thank you for your support

Answer 6

Students

Answer 7

answer the question

Answer 8

mathematics

Answer 9

If the rain does not come, then the crops are ruined and the people will starve

Answer 10

Promise
P=q

Answer 11

Let's define the premise and conclusion using propositional logic:

Premise: If p, then q. (p → q)
- p: the rain does not come
- q: the crops are ruined and the people will starve

Conclusion: Either ~q or ~p. (~q V ~p)

To check the validity of the argument, we can use a truth table:

p | q | ~(p→q) | ~q | ~p | (~q V ~p)
--|---|---------|----|----|----------
T | T | F | F | F | F
T | F | T | T | F | T
F | T | F | F | T | T
F | F | F | T | T | T

Since the conclusion is true in all cases where the premise is false (rows 3 and 4), the argument is valid.