If the bread is toasted and mayonnaise is spread on it then either I will go hungry or I will have acidity. I am hungry so the bread was toasted.
Maybe
Analyzing the Logic of Toasted Bread and Hunger
This question presents a logical argument based on a conditional statement. We need to evaluate if the conclusion logically follows from the given premises.
Let's break down the statements provided:
- Premise 1: "If the bread is toasted and mayonnaise is spread on it then either I will go hungry or I will have acidity."
- Premise 2: "I am hungry."
- Conclusion: "so the bread was toasted."
Translating to Logical Form
Let's use symbols to represent the simple statements:
- Let A = "the bread is toasted"
- Let B = "mayonnaise is spread on it"
- Let C = "I will go hungry"
- Let D = "I will have acidity"
The logical structure of the argument is:
- Premise 1: If (A and B), then (C or D). In logical notation: \((A \land B) \implies (C \lor D)\)
- Premise 2: C is true.
- Conclusion: A is true.
Evaluating the Argument
From Premise 2, we know that C is true. If C is true, then the statement (C or D) must also be true. This is because if one part of an "or" statement is true, the entire statement is true (\(C \implies (C \lor D)\)).
So, we know that the consequent of the main conditional statement (Premise 1) is true: \((C \lor D)\) is true.
The argument then effectively becomes:
- If (A and B), then (C or D).
- (C or D) is true.
- Therefore, A is true.
This logical form is similar to what is known as "affirming the consequent". Affirming the consequent is a logical fallacy. Just because the consequence of a conditional statement is true, it does not necessarily mean that the antecedent (the "if" part) must be true.
Consider the structure: \(P \implies Q\). If we know Q is true, we cannot definitively conclude that P is true. Q might be true for reasons other than P being true.
In this case, we have \((A \land B) \implies (C \lor D)\). We know \((C \lor D)\) is true (because C is true). Does this force \((A \land B)\) to be true? No. The statement \((A \land B) \implies (C \lor D)\) is true whenever \((A \land B)\) is false, regardless of whether \((C \lor D)\) is true or false. So, it is possible for \((A \land B)\) to be false while \((C \lor D)\) is true.
If \((A \land B)\) is false, then either A is false, or B is false, or both are false.
- If A is false (the bread was not toasted), then \((A \land B)\) is false. The premise \((A \land B) \implies (C \lor D)\) holds true when the antecedent is false. And \((C \lor D)\) is true because C is true. So, all premises hold, but the conclusion (A is true) is false.
- If A is true but B is false (the bread was toasted, but no mayonnaise), then \((A \land B)\) is false. Again, the premise \((A \land B) \implies (C \lor D)\) holds. And \((C \lor D)\) is true because C is true. So, all premises hold, and the conclusion (A is true) happens to be true, but not *because* of the premises forcing it.
Since the premises can be true while the conclusion "the bread was toasted" (A is true) is false, the conclusion does not logically follow with certainty.
However, the conclusion is not impossible. It is *possible* that the bread was toasted and had mayonnaise, and that's why the person is hungry. But it's also possible the person is hungry for a completely different reason, and the bread wasn't toasted at all.
Therefore, based on the given information, we cannot say definitively that the bread was toasted. It is only a possibility.
Conclusion
The argument is not deductively valid. The truth of the premises does not guarantee the truth of the conclusion. The conclusion "the bread was toasted" might be true, or it might be false. We cannot be certain. This aligns with the option "Maybe".
Important Questions from Critical Reasoning
'Little knowledge is a dangerous thing' is a decision based on:
Which of the following is the assumption for the claim that 'Pleasure is desirable'?
Read the given statements carefully and answer the questions.
Fear of danger is more dangerous than danger itself. Risk is directly proportional= to danger
Which of the following are true according to the given statements?
A. Fear is worse than any fearful threat.
B. There is a trade-off between risk and danger.
C. There should be fear of danger.
D. There is no need to take risks to overcome any danger.
A question has been given in this question and a statement related to it. Read the passage carefully and review the statement based on it.
Amazon has acknowledged the data violation of user names and email ids of some users without giving details of its nature or scope. Although the company has not disclosed the total number of users affected by this violation, it has sent information to all affected users about the technical problem. And now this e-commerce major company is offering Gift Cards as compensation to customers who are victims of their data violation. This e-commerce company headquartered in Seattle is offering Gift Cards between $ 5 to $ 100 for users affected by some of their data violations.
A publication mentioning email communications between Amazon and a customer Paul Gagnon has reported that when he asked the customer service desk to ask the company how his information was leaked, then the company gave him a promotion of $ 100 Certificate offered. When Gagan got no response for the reason of this violation, he was offered $ 100 as an apology. After this violation, many affected users had filed a complaint with the service desk. Many people affected by this violation complained to the company, but none of them got so far. It is being speculated that Amazon Customer Service Supervisors have been instructed not to offer any comments or any kind of compensation to affected Amazon users.
Statement: The company has not told the fixed number of people affected by data violation. Select the most suitable option below.
A-statement is definitely true.
B-Query is probably true.
C-statement can not be determined.
D-statement is completely false.
A question has been given in this question and a statement related to it. Read the passage carefully and review the statement based on it.
Amazon has acknowledged the data violation of the user name and email id of some of its users, without giving details of its nature or scope. Although the company has not disclosed the total number of users affected by this violation, it has sent information to all affected users about the technical problem. And now this e-commerce major company is offering Gift Cards as compensation to customers who are victims of their data violation. This e-commerce company headquartered in Seattle is offering Gift Cards between $ 5 to $ 100 for users affected by some of their data violations.
A publication mentioning email communications between Amazon and a customer Paul Gagnon has reported that when he asked the customer service desk to ask the company how his information was leaked, then the company gave him a promotion of $ 100 Certificate offered. When Gagan got no response for the reason of this violation, he was offered $ 100 as an apology. After this violation, many affected users had filed a complaint with the service desk. Many people affected by this violation complained to the company, but none of them got so far. It is being speculated that Amazon Customer Service Supervisors have been instructed not to offer any comments or any kind of compensation to affected Amazon users.
Statement: Amazon has not instructed its supervisors to not provide any comments or offers of compensation to the affected users.
Select the most suitable option below.
A-statement is definitely true.
B-Query is probably true.
C-statement can not be determined.
D-statement is completely false.
