# What is the formula of syllogism?

Well, let me start by saying that syllogism is a form of logical reasoning that involves drawing conclusions based on two premises. It is a way to analyze and evaluate arguments in a structured and systematic manner.

Now, there are different forms or formulas of syllogism that can be used to solve problems. The specific formula used depends on the information given in the premises and the conclusion being sought. Let’s go through some of these formulas:

1. Some + Some = No Conclusion:
In this formula, if we have a premise that states “Some A are B” and another premise that states “Some B are C,” we cannot draw a definite conclusion about the relationship between A and C. For example, if we know that some cats are black and some black things are birds, we cannot conclude that some cats are birds.

2. Some + No = Some Not:
If one premise states “Some A are B” and the other premise states “No B are C,” we can conclude that “Some A are not C.” For instance, if we know that some dogs are friendly and no friendly animals are aggressive, we can conclude that some dogs are not aggressive.

3. No + No = No Conclusion:
When both premises state negative statements, such as “No A are B” and “No B are C,” we cannot draw a definite conclusion. For example, if we know that no birds can swim and no swimmers can fly, we cannot conclude anything about the relationship between birds and swimmers.

4. No + All = Some Not Reversed:
In this formula, if one premise states “No A are B” and the other premise states “All B are C,” we can conclude that “Some A are not C.” For instance, if we know that no cats are dogs and all dogs are mammals, we can conclude that some cats are not mammals.

It is important to note that these formulas are just guidelines and not all-encompassing rules. Syllogism can be more complex and involve multiple premises and conclusions. It requires careful analysis and evaluation of the information given to draw valid conclusions.

In my personal experience, I have found syllogism to be a valuable tool in critical thinking and problem-solving. It helps me to break down arguments and identify logical inconsistencies or fallacies. By applying these formulas, I am able to assess the validity and soundness of different claims and make more informed decisions.

To summarize, the formulas of syllogism are tools that help us analyze and draw conclusions based on two premises. They provide a structured approach to logical reasoning, but it is important to remember that they are not foolproof and can vary depending on the specific information given. So, next time you encounter a syllogism problem, remember to carefully evaluate the premises and apply the appropriate formula to draw valid conclusions.