Syllogism

syllogism is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true.
There are three major types of syllogism:
1.    Conditional Syllogism: If A is true then B is true (If A then B).
2.    Categorical Syllogism: If A is in C then B is in C.
3.    Disjunctive Syllogism: If A is true, then B is false (A or B).

Example:
Statements:   
A.    All trees are plants.
B.    Some trees are bushes.

Conclusion is: No plants are bushes
From the sketch it is clear that some bushes are definitely plants. Hence the given Conclusion is false

Example
 Statements:
A. All flowers are trees
B. Some trees are houses
C. All houses are wheels

Let’s first make a BD according to these statements.

Conclusions:
1. At least some wheels are trees
2. Some trees are flowers
3. All wheels are flower is a possibility



Syllogism Exercise
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