Give five difference between deductive reasoning and inductive reasoning using the right example each?

1. Deductive reasoning starts with a general statement or hypothesis and then examines the possibilities to reach a specific, logical conclusion. For example, if all humans are mortal (general statement) and John is a human (specific case), then John must be mortal (specific conclusion).

2. Inductive reasoning starts with specific observations or data and then makes generalizations or predictions based on those observations. For example, if every time it rains the streets get wet (specific observation), then it can be inferred that rain causes wet streets (generalization).

3. Deductive reasoning is used in mathematics and formal logic, where conclusions are certain and follow logically from the premises. For example, in geometry, if two angles are both right angles, then they must be congruent.

4. Inductive reasoning is used in scientific research and everyday problem-solving, where conclusions are based on probability and likelihood rather than certainty. For example, based on past data and observations, scientists may predict that a certain medication will be effective in treating a particular disease.

5. Deductive reasoning is often used to prove the validity of arguments or theories, while inductive reasoning is used to generate new ideas or hypotheses. For example, deductive reasoning can be used to prove the validity of a mathematical theorem, while inductive reasoning can be used to generate a hypothesis about the relationship between two variables in a scientific study.