Question 1199145
.
Use one of the 3 methods of syllogistic logic to determine whether the following syllogism is 
valid:
(1) No carrots are red fruits.
(2) Some fruits are carrots.
(3) Therefore, some fruits are not red fruits.
~~~~~~~~~~~~~~~~~



        Instead of using methods of syllogistic logic,  I will try to solve the problem 

        using my common sense,  by the  " step by step method ".


        For the convenience of references,  I numbered the sentences  (statements)  in the  " given "  part.



<pre>
    Step 1.  Statement (1) is true, because no carrots are fruits, at all (by the definition).


    Step 2.  Statement (2) means that the mentioned set of "some fruits" is EMPTY set, 
             because no fruits are carrots (by the definition).


    Step 3.  Since the set "some fruits" defined in (2), is empty, it satisfies to any condition.
             In particular, we can conclude that this set "some fruits" are not red fruits, as stated in (3).
             So, the property (3) is proven.
</pre>


The most important part of this &nbsp;" common sense " &nbsp;solution is to 
identify that the set "some fruits" in part (2) and in part (3) is the same set 
and to get understanding that this set, &nbsp;the problem is talking about, &nbsp;is empty.


For empty set, &nbsp;each statement about properties of its elements is correct, 
independently, &nbsp;whether it looks to be sensical or non-sensical.


<pre>
    +--------------------------------------------+
    |   As an example, consider THIS statement:  |
    |     "As far as it is known for now,        |
    |     each horse with 99 legs is blue".      |
    +--------------------------------------------+
</pre>

For empty set, &nbsp;each statement about properties of its elements is correct, 
but empty, &nbsp;at the same time.



By the way, &nbsp;since the set &nbsp;" some fruits " &nbsp;in this problem is empty set, 

it possesses not only the property &nbsp;" 3 ", &nbsp;but the opposite property, &nbsp;too.



What I want to say, &nbsp;regarding the meaning of this problem, &nbsp;is that 
its meaning is emptiness : &nbsp;&nbsp;it is like dust carried by wind.