Key Note on Syllogisms

In philosophical debates, syllogisms are a sort of logical reasoning. Abstract thinking is involved in logical reasoning: you approach an issue by structuring a set of actions (called premises) in a specific order. A deductive argument progresses from general to specific, while an inductive argument progresses from specific to general: as all mammals are animals, Camels are mammals, Thus, camels are animals. If premises one and two are correct, then the conclusion must be correct as well.

Syllogism

When the conclusion of a syllogism follows from the premises, it is said to be valid (or logical). When a syllogism makes accurate assertions – that is, when the information it includes is compatible with the facts – it is said to be true. A syllogism must be both valid and true in order to be sound. A syllogism, on the other hand, can be valid without being true or true without being valid.

Aristotelian syllogism and Stoic syllogism are two types of syllogism. Categorical syllogism and syllogism were commonly used interchangeably from the Middle Ages onwards. This essay focuses solely on this historical application. In contrast to inductive reasoning, where facts are determined by repeated observations, the syllogism was at the heart of historical deductive reasoning, in which facts are determined by integrating previous statements.

Topic of Syllogism

Logic: Step-by-step inferences are used to arrive at a conclusion in this abstract way of thinking.

Deductive reasoning: Deductive reasoning is a type of logic in which the truth of the premises ensures the validity of the conclusion:

1. Humans are all mortal.
2. Socrates is a real person.
3. As a result, Socrates is a mortal.

These kinds of arguments are justified by the way they’re put together rather than by any specific experiences. The most typical application is in philosophy.

Inductive reasoning: Inductive reasoning is when the truth of the premises does not guarantee the conclusion:

1. I used to be able to consume peanuts without having an allergic reaction.
2. As a result, I will not have an allergic reaction to peanuts in the future.

Unlike deductive reasoning, even if the premises are correct, the conclusion can be false. (A peanut allergy could arise later in life.) Inductive reasoning is most typically utilized in science and is based on experience.

Major Premise: A general or universal premise is referred to as a major premise.

Minor Premise: A minor premise is one that concerns a specific instance of the big premise.

Syllogistic Fallacy: A fallacy is a logical error. A syllogistic fallacy is a logical error. In a deductive argument, a syllogistic fallacy occurs when the conclusion does not flow from the premises:

1. There are no sharks among behavioural scientists.
2. Sharks aren’t mammals at all.
3. As a result, there are no behavioural scientists who are mammals.

The premises are correct, but the conclusion is manifestly incorrect. This is a syllogistic fallacy because it is a deductive argument.

Enthymemes: Enthymemes are arguments that work in a similar way to syllogisms, but with at least one implicit premise. The audience is presumed to be aware that the implicit premise is correct. Consider the following scenario:

1. Humans are all mortal.
2. As a result, Aristotle is a living being.

The underlying assumption is that Aristotle was a human being.

Valid: If the premises are true, a deductive argument is said to be valid if it is impossible for the conclusion to be wrong. The syllogism is true if the conclusion follows the premises logically. A valid syllogism may not be sound:

1. All birds have the ability to fly.
2. Penguins are a type of bird.
3. As a result, penguins are able to fly.

The conclusion would be true if the premises were true. However, because premise 1 is untrue, the argument is invalid.

Sound: A logical argument is sound when its premises are true and it is valid: 

1. All humans are mortal.
2. Socrates is a real person.
3. Socrates is a living being.

The argument is sound because the conclusion follows from the premises, and each of the premises is true.

Reductio ad impossible: A method of determining the validity of an argument. The argument is valid if opposing the conclusion while accepting the premises would be inconsistent.

Questions of Syllogisms

The topic of syllogism is quite popular in most Government exams, and questions about it are almost always asked in the exam, as witnessed in recent years. As a result, a thorough comprehension of the concept is critical. Here’s some questions for you to practice:

Statements: All the harmoniums are instruments. All the instruments are flutes.

Conclusions:

1. All the flutes are instruments.
2. All the harmoniums are flutes.

Answer- only 2 conclusion follows

Statements: Some ships are boats. All boats are submarines. Some submarines are yachts.

Conclusion

1. Some yachts are boats.
2. Some submarines are boats.
3. Some submarines are ships.
4. Some yachts are ships

Answer- only II and III follows

Statements: Most CPUs are keyboards. No keyboard is a Mouse. All Mouses are CPU.

Conclusion:

1. Some keyboards are CPU
2. All CPUs are Mouse
3. No Mouse is a keyboard
4. Some Mouse are keyboard

Answer- only I and III follows

Statements: All liquids are solids. Some solids are gas. All gases are clouds

Conclusion:

1. Some clouds are solids
2. Some clouds are liquids
3. Some gases are liquids
4. Some solids are clouds

Answer- only I and IV follows

Conclusion

Syllogisms are said to be the most powerful kind of argument because they preserve truth: if the premises are true and the syllogism is correct, the conclusion is definitely true. To refute the argument, we must either disprove the syllogism or refute one of the premises. Because the premises are usually agreed upon, syllogisms aid in the clarification of arguments that, while obvious, lack justification.