# True or False Statements (Gardner)

• MrJones
In summary, the conversation discusses a teaser found in a book written by Martin Gardner which poses six statements and asks which are true and false. The discussion concludes that statements 1-5 must be false, but the veracity of statement 6 cannot be determined based on the information provided. It is left up to the reader to decide if statement 6 is true or false.
MrJones
This is the sort of teaser that appears in a book written by Martin Gardner, and I was hoping someone could help me see my way to the answer.

Of the following six statements, which are true and which are false?

1. There are no false statements in this card.
2. There is exactly one false statement in this card.
3. There are exactly two false statements in this card.
4. There are exactly three false statements in this card.
5. There are exactly four false statements in this card.
6. There are exactly five false statements in this card

I feel like I must be overanalyzing this one

...Where is this card?

drizzle said:
...Where is this card?
I assume the OP meant this set. Don't overanalyze.

Each statement makes an exact claim that is contrary to the exact claims made by the other statements. Thusly, there cannot be two or more true statements, which in turn means at least five of the statements must be false.

1. Assume exactly five statements are false. This is statement six. Statement six is true and the others are false.

2. Assume all six statements are false. This is also consistent.

Bottom line: Statements 1-5 are false, the veracity of statement 6 cannot be determined.

MrJones said:
This is the sort of teaser that appears in a book written by Martin Gardner, and I was hoping someone could help me see my way to the answer.

Of the following six statements, which are true and which are false?

1. There are no false statements in this card.
2. There is exactly one false statement in this card.
3. There are exactly two false statements in this card.
4. There are exactly three false statements in this card.
5. There are exactly four false statements in this card.
6. There are exactly five false statements in this card

I feel like I must be overanalyzing this one

6. The previous 5 statements are falese, which is true. It's the only true answer.

The only thing that can be said with certainty is that statements 1-5 must be false. The last statement can be either true or false and still be consistent. It's truth value is indeterminate.

mugaliens said:
6. The previous 5 statements are falese, which is true. It's the only true answer.
But #6 doesn't say there are at least 5 false statements, it says there are exactly 5 false statements.

D H is correct, #6 could be either true or false.

This reminds me of a question I heard on the TV show Whose Line Is It Anyway (American version):

Multiple choice: the correct answer is
A. B
B. C
C. A
D. D​

Redbelly98 said:
Multiple choice: the correct answer is
A. B
B. C
C. A
D. D​

Redbelly98 said:
But #6 doesn't say there are at least 5 false statements, it says there are exactly 5 false statements.

D H is correct, #6 could be either true or false.

Let's review the initial problem:

"Of the following six statements, which are true and which are false?"

And the sixth question:

"6. There are exactly five false statements in this card"

The initial problem provides no option for indeterminancy. Therefore, it must either be true, or must either be false. "...could be either true or false" is not an option.

#6 is the only statement which can be true. Since it must be either true or false, the choice is up to the reader. I choose that it's ture.

## 1. What is the purpose of "True or False Statements" in Gardner's theory of multiple intelligences?

The purpose of "True or False Statements" in Gardner's theory is to assess a person's logical-mathematical intelligence, which is one of the eight intelligences proposed by Gardner. This form of intelligence involves the ability to reason, think critically, and solve problems using logic and mathematical concepts.

## 2. How are "True or False Statements" used in Gardner's theory?

In Gardner's theory, "True or False Statements" are used as a tool for assessing a person's logical-mathematical intelligence. These statements typically involve logical reasoning, mathematical concepts, and problem-solving tasks. The individual's performance on these statements can provide insight into their level of logical-mathematical intelligence.

## 3. Can "True or False Statements" be used to measure other types of intelligence?

No, "True or False Statements" are specifically designed to assess logical-mathematical intelligence and cannot be used to measure other types of intelligence. Gardner's theory proposes that there are eight different types of intelligence, and each requires a unique set of tools for assessment.

## 4. What are the limitations of using "True or False Statements" for assessing intelligence?

One limitation of using "True or False Statements" is that it only assesses one type of intelligence, leaving out other important aspects of a person's intelligence. Additionally, the statements may not accurately reflect a person's true abilities, as they may have cultural or educational biases. It is essential to use multiple methods and tools for a comprehensive assessment of intelligence.

## 5. Can "True or False Statements" be used to determine a person's overall intelligence?

No, "True or False Statements" alone cannot determine a person's overall intelligence. Gardner's theory proposes that everyone possesses a unique combination of the eight different intelligences, and a single assessment cannot accurately measure all of them. Therefore, it is crucial to use a variety of tools and methods for a more comprehensive understanding of a person's intelligence.

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