Quantifiers Questions - - Question 8

No mathematician today would flatly refuse to accept the results of an enormous computation as an adequate demonstrat...

:)) April 21, 2020

No Statements

Why wouldn't the first sentence "No mathematician today would flatly refuse..." be considered/diagrammed as a "no statement"? Thanks!

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SamA April 23, 2020

Hello @Lovely,

In short, it would be considered a "no statement!" No introduces the sufficient condition, and then we negate the other part of the sentence, which becomes necessary.

MT --------> not FR

It is just like saying, "No basketball players are slow."

BP ---------> not S

erb4852 January 3, 2021

Why is the word "refuse" in that sentence not considered negative, and therefore making the necessary premise positive?

Jean January 25, 2023

I have the same question as Vanessa. For me, I read the sentence like this:

No mathematician today would flatly NOT accept the results of an enormous computation as an adequate demonstration of the truth of a theorem.

Given the "no" statement, I diagramed it as: If MT -> ARC (Accept Result of Computation)

Why is that not the case, and how do I differentiate?

Emil-Kunkin January 26, 2023

Hi, I completely agree with your diagram. It's easy to get caught up in trying to get a perfect diagram, it ultimately a diagram is only a tool to reinforce and codify your understanding. I think you completely understand that the sentence is saying that if you are a mathematician today, you won't reject them.