Conclusion – Rules of inference
In logic, each rule of inference leads to a specific conclusion based on given premises. Modus Ponens establishes that if a statement P implies Q, and P is true, then Q must also be true. Conversely, Modus Tollens asserts that if P implies Q, and Q is false, then P must be false. Hypothetical Syllogism extends this reasoning by stating that if P implies Q and Q implies R, then P implies R. Disjunctive Syllogism states that if either P or Q is true, and P is false, then Q must be true. Addition indicates that if P is true, then P or Q is true. Simplification dictates that if both P and Q are true, then P must be true. Finally, Conjunction states that if both P and Q are true, then both P and Q are true. These rules collectively provide a framework for making logical deductions from given statements.
Rules of Inference
Rules of Inference: Every Theorem in Mathematics, or any subject for that matter, is supported by underlying proofs. These proofs are nothing but a set of arguments that are conclusive evidence of the validity of the theory. The arguments are chained together using Rules of Inferences to deduce new statements and ultimately prove that the theorem is valid.
Table of Content
- Definitions
- Table of Rule of inference
- Rules of Inference
- Resolution Principle:
- Rule of inference example,