Positive integers less than 1 are greater than 1

This proposition is true, but 40% of people get it wrong.

https://gyazo.com/66fbe7eaad29aee9d89a18bb727c5f79

This survey was so interesting that I did a little twisted survey myself.

https://gyazo.com/b4c4e17ce2708962c69d9e1a4ad2fbce

I was so taken aback by the number of "it doesn't make sense" that I asked an additional question.

https://gyazo.com/745475a27f247d7c86e2df0cf6ea4caf

One more question

https://gyazo.com/443db05ce58c9af883355e87295e7070

explanation

The top of all surveys is correct.

logic

1: If P is false, then "if P then Q" is true regardless of the truth of Q

2: P = "x is less than 1" is false for any positive integer x

3: Thus "Q if P" is true for any positive integer x.

If Q = "x is greater than 1", it would be a questionnaire question text.

Since the majority of the correct answers are "If 3 is even, then 4 is odd" at the end, many people understand 1: "If P is false, then Q is true regardless of the truth of Q".

It seems some people have judged "If x is less than 1, then x is greater than 1" to be "mathematically incorrect" or "a contradictory statement" based solely on this point.

This is a mistake.

For example, whether "1/(1/x)=x" is correct or not cannot be determined until x is specified as the source of any set.

If it is a positive real number, it is correct because it does not contain zero, and if it is a whole real number, it is incorrect because it contains zero.

Similarly, we can't just look here to determine if "if x is less than 1, then x is greater than 1" is correct

Those who made the decision prematurely must have implicitly assumed that x was a real number, etc., and made the decision.

Interesting Miscellaneous

In France, zero is a number that is both positive and negative."

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