Looking to test the validity of syllogisms quickly? Our free Syllogism Validator is a simple and advanced logical reasoning tool designed for students, competitive exam aspirants, and anyone learning logic. Just enter two premises and a conclusion, and the tool will automatically check whether the syllogism is valid.
With step-by-step explanations, distribution rules, and mood–figure classification, you can understand exactly why a syllogism is valid or invalid. Perfect for practicing reasoning aptitude, philosophy studies, and exam preparation.
Enter two premises and a conclusion. This tool classifies A/E/I/O, finds the middle term & figure, and checks classical syllogistic rules with an explanation.
Use this Syllogism Validator to analyze logical arguments based on classical logic rules. It’s ideal for students preparing for competitive exams, philosophy learners, or AI logic modelers.
🔍 What is a Syllogism?
A syllogism is a form of reasoning where a conclusion is drawn from two premises: a major premise and a minor premise.
Each statement consists of a subject and predicate connected by a copula (is/are).
Example:
- Major Premise: All men are mortal.
- Minor Premise: Socrates is a man.
- Conclusion: Socrates is mortal.
🧮 Logical Formulas (with MathJax)
Syllogisms are traditionally classified using quantifiers and predicates:
- A (Universal Affirmative): \( \text{All } A \text{ are } B \)
- E (Universal Negative): \( \text{No } A \text{ are } B \)
- I (Particular Affirmative): \( \text{Some } A \text{ are } B \)
- O (Particular Negative): \( \text{Some } A \text{ are not } B \)
The logic system uses rules like:
\( \text{A + A → A} \), \( \text{E + A → E} \), \( \text{I + A → I} \), etc.
🔀 Simple vs Advanced Version – What’s the Difference?
| Feature | Simple Version | Advanced Version |
|---|---|---|
| Input Type | Free text | Structured statements or symbolic form |
| Validation | Basic pattern match | Logical truth checking using rules |
| Conclusion Suggestions | Yes | Yes, with fallacy detection |
| Symbolic Conversion | No | Yes (e.g., Aab, Eac) |
| Fallacy Detection | No | Yes |
🧠 Why Use This Tool?
- Practice logical reasoning questions for competitive exams (e.g., SSC, UPSC, GRE)
- Validate arguments in debates, essays, or research
- Learn classical Aristotelian logic or symbolic logic
- Explore validity of deductive arguments
📋 How to Use:
- Choose between Simple or Advanced version.
- Input your premises and conclusion.
- Click Validate to check if the conclusion logically follows.
- Review the logic steps, symbolic conversion, and any detected fallacies.
📚 Real-Life Examples
Example 1:
- Major: All birds can fly.
- Minor: Penguins are birds.
- Conclusion: Penguins can fly. ❌
This is a fallacy (false universal assumption).
Example 2:
- Major: All humans are mortal.
- Minor: Elon Musk is human.
- Conclusion: Elon Musk is mortal. ✅
🧩 Advanced Mode – Features
- Structured symbolic input (e.g., Aab, Ebc)
- Validation using syllogistic figures (1st, 2nd, 3rd, 4th)
- Fallacy identification (illicit major/minor, undistributed middle, etc.)
- Symbolic translation of natural language
❓ Frequently Asked Questions (FAQ) about Syllogism Validator
What is a syllogism validator?
A syllogism validator is a tool that checks whether a conclusion logically follows from two given premises, based on classical rules of logic.
How does the syllogism validator work?
The validator analyzes the premises and conclusion, identifies the middle term, determines the mood (A/E/I/O) and figure, and then applies syllogistic rules to check validity.
What types of statements does the tool support?
The syllogism validator supports universal affirmative (All S are P), universal negative (No S are P), particular affirmative (Some S are P), and particular negative (Some S are not P) statements.
What is the difference between the simple and advanced version?
The simple version checks patterns quickly, while the advanced version applies full logical rules, detects fallacies, and even provides step-by-step explanations.
Who can use this syllogism validator?
Students preparing for competitive exams, philosophy learners, researchers, or anyone who wants to practice logical reasoning can benefit from using the tool.
Is this tool useful for competitive exams?
Yes, the syllogism validator is especially useful for reasoning aptitude practice in exams like SSC, UPSC, GRE, and other competitive tests.
Note: All formulas on this page support MathJax for better readability.