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Logic vs. Logical

What's the Difference?

Logic is the study of reasoning and the principles that govern valid arguments, while logical refers to something that is based on reason or sound judgment. Logic is a formal system of rules and principles used to determine the validity of arguments, while something that is logical simply makes sense or follows a rational thought process. In essence, logic is the study of reasoning, while being logical is the application of that reasoning in practical situations.

Comparison

Logic
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AttributeLogicLogical
DefinitionThe study of reasoning and argumentationRelated to or in accordance with logic
UsageAs a field of study or a system of reasoningAs an adjective to describe something rational or reasonable
FormalizationCan be formalized using symbols and rulesCan be used to describe something that follows a logical pattern
ApplicationUsed in mathematics, philosophy, computer science, etc.Used to describe coherent and reasoned arguments
Logical
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Further Detail

Definition

Logic is the study of reasoning and argumentation, focusing on the principles of valid inference and correct reasoning. It is a branch of philosophy that deals with the principles of valid reasoning and argumentation. Logical, on the other hand, refers to something that is in accordance with the principles of logic or reasoning. It is used to describe something that is rational, coherent, or consistent.

Application

Logic is often used in fields such as mathematics, computer science, and philosophy to analyze and evaluate arguments and reasoning. It helps in identifying fallacies and inconsistencies in arguments. Logical, on the other hand, is used to describe something that follows a logical sequence or pattern. It is often used to describe the structure of an argument or the coherence of a statement.

Characteristics

Logic is characterized by its emphasis on formal rules of inference, deductive reasoning, and the evaluation of arguments based on sound reasoning. It is concerned with the validity and soundness of arguments. Logical, on the other hand, is characterized by its adherence to the principles of logic, coherence, and consistency. It is used to describe something that makes sense or follows a rational pattern.

Examples

An example of logic would be the syllogism: "All men are mortal. Socrates is a man. Therefore, Socrates is mortal." This argument follows the rules of logic and is considered valid. An example of something logical would be the statement: "If it is raining outside, then the ground will be wet." This statement follows a logical sequence and is coherent.

Importance

Logic is important because it helps us to think critically, evaluate arguments, and make informed decisions. It is a fundamental tool in philosophy, mathematics, and science. Logical thinking is important because it helps us to make sense of the world around us, identify patterns, and draw conclusions based on evidence and reasoning.

Conclusion

In conclusion, while logic and logical are related concepts, they have distinct attributes and applications. Logic is the study of reasoning and argumentation, focusing on the principles of valid inference and correct reasoning. Logical, on the other hand, refers to something that is in accordance with the principles of logic or reasoning. Both are important in different contexts and play a crucial role in critical thinking and decision-making.

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