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Logic

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Logical Concepts an overview

What is logic?
• Logic is the science of reasoning,
• which is to say: the academic discipline that investigates reasoning.

What is reasoning?
• reasoning is inferring (deducing) • to infer is to draw conclusions (output) from a premise or set of premises (input).

An Example of Reasoning

You see smoke And you infer That there is fire

(input) (deduce) (output)

Another example of Reasoning
You count 19 people in a group; which originally had 20 people in it; and you infer that someone is missing (input) (input) (deduce) (output)

The Basic Idea
Logic evaluates reasoning in terms of arguments.

What is an argument?
• The word “argument” can mean many different things depending on the context. • But for the purposes of logic, the term “argument” means something very specific:

What is an argument?
• an argument is a collection of statements, one of which is designated as the conclusion, and the remainder of which are designated as the premises. • Important note: premises are always intended to provide support or evidence for the conclusion, but they don't always succeed. (It’s still an argument either way.)

What is a statement?
• A statement is a declarative sentence, • i.e., a sentence that is capable of being true or false.
• For example: The door is closed.

• Other kinds of sentence are not capable of being true or false:
• Interrogative sentences are inquiries for information: Is the door closed? • Imperative sentences make a command: Shut the #*&@% door! • Performative sentences make a declaration: I hereby pronounce the door closed!

Some Examples of Arguments
P1. Everyone believes that it's wrong to eat salty food. P2. If everyone believes that it's wrong to eat salty food, then it's wrong to eat pickles. C. Therefore, it's wrong to eat pickles. P1. The Bible says

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