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Conclusion: All Rajasthani’s are Kind.
Let’s interpret the conclusion in terms of definition of Syllogism. Now in the sentence, All Rajasthani’s are Kind you can notice that the predicate of the proposition 2 became the predicate of conclusion (the word Kind) and the subject of the proposition 1 became the subject of conclusion (Rajasthani’s) and the common relation between the two (Indians) is missing from it. Thus, this conclusion exactly follows the definition of Syllogism. Now, you might have noticed use of word All in both the propositions. This type of proposition is called categorial propositions. The categorial proposition is further divided into two types.
The Analytical Method.Let’s first fathom the Venn Diagram method. We all have come across the Venn diagram as part of set theory in our high school math’s. But those of you who are still unaware of it, Venn diagram is a pictorial representation of mathematical or logic sets using circles or closed curves. Instead of directly hoping on devising the method first learn the representation of propositions using Venn diagram. As discussed earlier, there are two types of propositions Universal and Particular which are further distinguished into the positive and negative kinds of proposition respectively. These 4 kinds can be represented through Venn Diagram. Grab a look at the table below that illustrates the distinct types of propositions and its pictorial representation using Venn diagram.
Using the above two tables we can easily form the conclusion from any number of propositions following two simple steps. Consider the example given above of tables, chairs and chalks. There are two propositions in the example:
Propositions: All tables are chalks.
All chalks are chairs.
Step 1: Draw Venn diagram of the both above propositions separately.
Now in this example, let T = tables, Chalks = CH, Chairs = CR. The first proposition says All tables are chalks. Therefore, it’s representation would be
Now by aligning it means that propositions should be written in such a way that the common term is the predicate of the first proposition and the subject of the second. In the above propositions, the common term is posters and for aligning we want that poster should be predicate of the first one. But here, it’s subject of proposition one. We will use conversion technique for that.
The rules for conversion are as follows: –
The subject becomes the predicate and the predicate becomes the subject
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