Reverse Syllogism Tricks

What is a syllogism? 

Syllogism is a type of logical argument that uses deductive arguments to reach a conclusion based on two statements that are claimed or assumed to be true. 

 “Socrates” at the Louvre Museum. In its earliest form (defined by Aristotle in the 350 BC book Prior Analytics), if two true premises (propositions or statements) justify a conclusion or are intended to convey the argument. The syllogism occurs in the case of the main points that are being done. [1] For example, if we know that all human beings are humans (major premise) and Socrates is human (minor premise), we can justify that Socrates is human.

In ancient times, there were two competing syllogisms, Aristotle’s syllogism and Stoic syllogism. Since the Middle Ages, category syllogism and syllogism have usually been used interchangeably. This article only discusses this past usage. Syllogism was at the core of historical deductive reasoning, in which facts are determined by combining existing statements, as opposed to inductive reasoning, in which facts are determined by repeated observations. 

 In the academic context, syllogism has been replaced by first-order predicate logic based on the work of Gottlob Frege, especially his Terminschlift (1879). However, syllogism continues to be useful for general introductions to specific situations and logic.

The category syllogism consists of three parts: 

• Main assumptions 
• minor 
• Conclusion

Polysyllogism is a form of disputation in which a series of incomplete syllogisms is arranged so that each premise predicate forms the next subject until the first subject is combined with the next subject. Conclusion. For example, it can be argued that all lions are big cats, all big cats are predators, and all predators are carnivores. Therefore, to conclude that all lions are carnivores is to build on Solite’s argument. 

What are the tricks in syllogism?

Here are some general rules you need to know to solve a syllogistic problem: 

• All + All means All. 
• All + No means No. 
•  All + some mean no conclusions. 
• Some + All means Some. 
• Some + No means Some Not. 
• Some + some mean no conclusions.

Below are some practical tips to follow to solve your syllogistic question: 

• Check each statement one by one. 
• Understand how to draw a Venn diagram for each of these statements.
•  Try to understand the pattern of the question.
•  Understand how to analyse the conclusions of each statement. 
• The most important thing to remember is that you need to answer each question one by one.

Questions and answers on the syllogism

syllogistic questions anticipate an infinite number of possible cases. However, for the sake of simplicity, we will discuss the common types that may be asked in the exam. Below are some of the most common types of syllogistic questions:

• All A are B

For this type of question, the first element is a subset of the second element. To represent it in a Venn diagram, the pattern consists of a circle representing A and a circle inside the circle representing B.

Conclusion: some B are A 

Some A are B

• No A is B

In these types of questions, the first element is not connected to the second element at all. To represent it in a Venn diagram, the pattern consists of a circle representing B and a circle representing A that does not intersect.

The conclusion we get from the below pattern: no B is A 

• Some A are B (possibility case)

In this type of question, the first element shares a part with the second element. The pattern represented by the Venn diagram consists of where the circle is representing A and the circle representing B partially overlaps. It is unknown whether the rest of circle A is in contact with this part B.

The conclusion from the below pattern:

Some A are not B

All A are B

All B are A 

All A are B and all B are A

• Some A are not B

In this type of question, the first element has something in common with the second element. Represented in a Venn diagram, the pattern consists of a circle that represents A and has at least one part that does not overlap the circle that represents B. For the rest of circle A, it is unclear if this part touches B.

The conclusion from the below pattern:

Some A are not B

All A are B 

All B are A 

All A are not B and all B are not A 

Conclusion:

Syllogism is a three-part logical argument based on deductive reasoning that combines two premises to reach a conclusion. As long as the premise of the syllogism is true and the syllogism is properly structured, the conclusion will be true. An example of a syllogism is “All mammals are animals.