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May be defined as an organized body of knowledge, or science, that evaluates arguments.

Logic

Develop a system of methods and principles that we may have as criteria for evaluating the arguments of others and as guides in constructing arguments of our own.

What does Logic aim to do

A group of statements, one or more of which (the premises) are claimed to provide support for, or reasons to believe, one of the others (the conclusion)

Argument

Premises do support the conclusion, and premises do not support the conclusion.

Two basic groups an argument can fall under.

The purpose of logic is

To develop methods and techniques that allow us to distinguish good arguments from bad

A sentence that is either true or false.

Statement

Truth and falsity of a statement

Truth values

Example: the truth value of "chocolate truffles are loaded with calories" is true, while the truth value of "no wives ever cheat on their husbands" is false.

Usually not classified as statements and don't have truth values.

Questions, proposals, suggestions, commands, or exclamations.

The statements in a argument are compiled of one or more premises and exactly one conclusion

Note

Statements that set forth reasons or evidence.

Premises

The statement that the evidence is claimed to support or imply

Conclusion

Example of an argument

All film starts are celebrities (premise). Halle Berry is a film star (premise). Therefore, Halle Berry is a celebrity (conclusion).

Conclusions are indicated by the word

Therefore

Conclusion indicators

Therefore, wherefore, thus, consequently, we may infer, accordingly, we may conclude, it must be that, for this reason, so, entails that, hence, it follows that, implies that, as a result

Premise indicators

Since, as indicated by, because, for, in that, may be inferred from, as, given that, seeing that, for the reasons that, inasmuch as, owing to

According to logical principles, the conclusion is always listed after the premises.

Note

When reconstructing arguments...

Remain as close as possible to the original version.

Statements in which the various components are all claimed to be true.

Compound arrangement

Statements that should not be taken as part of the argument.

Passing comment and introduction to topics.

The reasoning process expressed by an argument



*Interchangable with "argument"

Inference

The meaning of a statement

Proposition

The Father of Logic

Aristotle

Fundamental elements are term, and arguments are good or bad based on how the terms are arranged.

Syllogistic Logic

Involves concepts such as possibility, necessity, belief, and doubt.

Modal Logic

Physician Galen developed theory of the compound categorical syllogism.

Note

Chrysippus develop a logic in which fundamental elements where whole propositions

Note

The first major logician of the middle ages.

Peter Abelard

The first original contributions of logic in the middle ages logic were made by William of Ockham

Note

A higher level of language hsed to discuss linguistic entitled such as words, terms, and propositions.

Metalanguage

What is needed by a passage to contain any argument:

At least one statement must claim to present evidence (premise), and there must be a claim that something is supported by the evidence (conclusion).

Usually asserted by premise or conclusion indicator words (thus, since, because, hence, therefore).

Explicit Claim

Claim that exists if there is an inferential relationship between the statements in the passage, but contains no indicator words.

Implicit Claim

Simple noninferential passages, expository passages, illustrations, explanations, and conditional statements are...

Kinds of nonarguments

Unproblematic passages; lack a claim that anything is being proved. Includes warning, pieces of advice, statements, belief or opinion, loosely associated statements, and reports.

Simple Noninferential Passages

A form of expression that is intended to put someone on guard against a dangerous or detrimental situation.

Warning

A form of expression that makes a recommendation about some future decision or course of conduct.

Piece of advice

An expression about what someone believes or thinks

Statement of belief (opinion)

May be about the general subject, but lack claim that one of then is proved by others.

Loosely associated statements

Consists of a group of statements that convey information about some topic or event.

Report

A kind of disclosure that begins with a topic sentence followed by one or more sentences that develop the topic sentence

Expository Passage

An expression involving one or more examples that is intended to show what something means or how it is done.

Illustration

An expression that purports to shed light on some events or phenomena.

Explanation

The statement that describes the event or phenomena.

Explanandum

The statement or group of statements that purports to be explained.

Explanans

If/then statement; cause and effect.

Conditional Statement

The "if" of a conditional statement

Antecendent

The "then" of a conditional statement

Consequent

A sufficient condition for some state of affairs S is a condition that, if satisfied, guarantees that S obtains.

For example, a sufficient condition for getting an A in 341 is getting an A on every piece of graded work in the course. This means that if a student gets an A on every piece of graded work in the course, then the student gets an A.

A necessary condition for some state of affairs S is a condition that must be satisfied in order for S to obtain.

For example, a necessary condition for getting an A in 341 is that a student hand in a term paper. This means that if a student does not hand in a term paper, then a student will not get an A, or, equivalently, if a student gets an A, then a student hands in a term paper.