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Think Again: How to Reason and Argue
Duke University
52
Philosophy
Undergraduate 1
05/16/2017

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Term
Deductive Argument
Definition
A deductive argument is an argument that is intended by the arguer to be deductively valid, that is, to provide a guarantee of the truth of the conclusion provided that the argument's premises are true. This point can be expressed also by saying that, in a deductive argument, the premises are intended to provide such strong support for the conclusion that, if the premises are true, then it would be impossible for the conclusion to be false. An argument in which the premises do succeed in guaranteeing the conclusion is called a (deductively) valid argument. If a valid argument has true premises, then the argument is said also to be sound. All arguments are either valid or invalid, and either sound or unsound; there is no middle ground, such as being somewhat valid.
Term
Inductive Argument
Definition

An inductive argument is an argument that is intended by the arguer to be strong enough that, if the premises were to be true, then it would be unlikely that the conclusion is false. So, an inductive argument's success or strength is a matter of degree, unlike with deductive arguments. There is no standard term for a successful inductive argument, but this article uses the term "strong." Inductive arguments that are not strong are said to be weak; there is no sharp line between strong and weak. The argument about the dog biting me would be stronger if we couldn't think of any relevant conditions for why the next time will be different than previous times. The argument also will be stronger the more times there were when I did walk by the dog. The argument will be weaker the fewer times I have walked by the dog. It will be weaker if relevant conditions about the past time will be different next time, such as that in the past the dog has been behind a closed gate, but next time the gate will be open.

Term
Suppressed Premise
Definition
premises that are not explicit in the argument, but are required in order to make it valid.
Term
Propositional Logic
Definition

Propositional logic, also known as sentential logic and statement logic, is the branch of logic that studies ways of joining and/or modifying entire propositions, statements or sentences to form more complicated propositions, statements or sentences, as well as the logical relationships and properties that are derived from these methods of combining or altering statements. In propositional logic, the simplest statements are considered as indivisible units, and hence, propositional logic does not study those logical properties and relations that depend upon parts of statements that are not themselves statements on their own, such as the subject and predicate of a statement. The most thoroughly researched branch of propositional logic is classical truth-functional propositional logic, which studies logical operators and connectives that are used to produce complex statements whose truth-value depends entirely on the truth-values of the simpler statements making them up, and in which it is assumed that every statement is either true or false and not both. However, there are other forms of propositional logic in which other truth-values are considered, or in which there is consideration of connectives that are used to produce statements whose truth-values depend not simply on the truth-values of the parts, but additional things such as their necessity, possibility or relatedness to one another.

Term
Statistical Generalization
Definition
Statistical generalization involves inferring the results from a sample and applying it to a population. To do this, the sample must be selected randomly and be representative of the population.
Term
Inference to the Best Explanation
Definition
Inference to the Best Explanation is a kind of abductive reasoning identified by Gilbert Harman in 1965 . He called it abductive reasoning, but Harman's definition of abduction did not correspond exactly to Charles Sanders Peirce's triple of Deduction, Induction, and Abduction.
Term
Argument from Analogy
Definition
Argument from analogy is a special type of inductive argument, whereby perceived similarities are used as a basis to infer some further similarity that has yet to be observed. Analogical reasoning is one of the most common methods by which human beings attempt to understand the world and make decisions.
Term
Argument
Definition

a connected series of sentences or statements or propositions, where some of these sentences or statements or propositions or premises and one of them is the conclusion and the one's that are premises are intended to provide some kind of reason for the one that's the conclusion


arguments are trying to put statements into a certain structure that reflects the order of reasoning in order to establish the proposition


the purpose of an argument is to state with clarity, and some degree of certainty, an opinion or point of view; a valid, strong and sound argument in it of itself may never persuade or convert anyone to adopt a different way of thinking.
Term
Purpose of Argument
Definition

Persuading or Convincing (bring about an effect)

  • Can be good or bad reasons for a certain conclusion

Provide a justification

  • Provide good reasons for a certain conclusion
Provide an explanation
  • Based on an assumption of truth; intended to increase understanding

Term
Pragmatist
Definition
an advocate of the approach that evaluates theories or beliefs in terms of the success of their practical application.
Term
Premise
Definition
a previous statement or proposition from which another is inferred or follows as a conclusion
Term
Justification
Definition
the action of showing something to be right or reasonable
Term
Persuasion
Definition

the action or fact of persuading someone or of being persuaded to do or believe something.


Persuade:

cause (someone) to believe something, especially after a sustained effort; convince.


To persuade or convince someone is to make that person believe, so the argument persuades the audience only if it makes the audience believe the conclusion.

Term
Common Logic Symbols
Definition
  • Tilde “~” is negation (e.g., ~P = it is not the case that P).
  • Logical Conjunction “Λ” is “and” (e.g., P Λ Q = P and Q).
  • Logical Disjunction “ν” is “or” (e.g., P ν Q = P or Q).
  • Conditional “→” is “if…then” (e.g., P→Q = If P, then Q).
  • Biconditional “↔” is “if and only if” (e.g., P↔Q = P if and only if Q).
  • Universal Quantifier “” is “all” (e.g., xFx = For each x, x is F).
  • Existential Quantifier “” is “some” (e.g., xFx = There is an x such that x is F).
  • Parentheses “()” provide syntax for multiple levels of structure (e.g., P→(Q→R) = If P, then “if Q, then R”).
  • Ergo “” is “therefore” (e.g., P P = P therefore P).
Term
Identifying the Parts of an Argument
Definition

  • Premise Markers: since, because, given that, assuming that.
  • Conclusion Markers: so, thus, therefore, ergo.
  • Connectives: and, or, but, unless.
  • Negation: it is not the case, no.
  • Evaluative Terms: good, bad, beautiful, ugly, right, wrong.
  • Guarding Terms: some, perhaps, a few, at least, maybe.
  • Assuring Terms: I know; I believe; [insert credentials]; [insert authority]
  • Abusive Terms: only a [insert negative term] would think x.
Term
Can you persuade someone to believe some conclusion without explaining why that conclusion is true?
Definition

Yes.

You can persuade someone with a bad argument, but a bad argument will not explain why the conclusion is true.

Term
Causal Explanation (Efficient Causation)
Definition

Causality (also referred to as causation, or cause and effect) is the agency or efficacy that connects one process (the cause) with another process or state (the effect), where the first is understood to be partly responsible for the second, and the second is dependent on the first.


Aristotliean Agent Cause: Aristotle defines the agent or efficient "cause" of an object as that which causes change and motion to start or stop. In many cases, this is simply the thing that brings something about.

Term
Telelogical (Purposeful) Explanation
Definition

Teleology is the philosophical attempt to describe things in terms of their apparent purpose, directive principle, or goal. A purpose that is imposed by a human use, such as that of a fork, is called extrinsic.


AKA the end, purpose, or final cause (that for the sake of which a thing is done)

Term
Formal Explanation
Definition
Aristotle considers the formal "cause" as describing the pattern or form which when present makes matter into a particular type of thing, which we recognize as being of that particular type
Term
Material Cause
Definition
Aristotliean Material Cause: equivalent to the nature of the raw material out of which the object is composed.
Term
Form of an Explanation in an Argument
Definition
One premise usually states some kind of general principle that can apply to a lot of different situations. And then the second premise talks about the current situation and says that those types of features that the principle mentions are instantiated in this case. And then the conclusions says that explains why it happened this way, in this case.
Term
Appeal to Authority
Definition
An argument from authority, also called an appeal to authority, is a form of logical and persuasive argument using expert opinion to defend the likelihood of the reliability of a claim. It is well-known as a fallacy, though it is most often used in a valid form.
Term
Ad Hominem
Definition
Ad hominem (Latin for "to the man" or "to the person"), short for argumentum ad hominem, is now usually understood as a logical fallacy in which an argument is rebutted by attacking the character, motive, or other attribute of the person making the argument, or persons associated with the argument, rather than attacking the substance of the argument itself.
Term
Basic Points About Language
Definition
  • Language is important
  • Language is conventional
  • Language is representational
  • Language is social
Term
Convention
Definition
a way in which something is usually done, especially within a particular area or activity
Term
Limits of Language
Definition

Representational:

Language cannot change the facts of the world.

Social:

Utilizing conventions allow communication among people.

Term
Semantics
Definition
the branch of linguistics and logic concerned with meaning. There are a number of branches and subbranches of semantics, including formal semantics, which studies the logical aspects of meaning, such as sense, reference, implication, and logical form, lexical semantics, which studies word meanings and word relations, and conceptual semantics, which studies the cognitive structure of meaning.
Term
Physical Production (Language)
Definition
Adequate volume, correct pronunciation, etc.
Term
Structural Combination
Definition
Spelling, grammar, order, etc.
Term
Etiquette
Definition
the customary code of polite behavior in society or among members of a particular profession or group.
Term
Syntax
Definition
the arrangement of words and phrases to create well-formed sentences in a language
Term
Use of Language Rules
Definition
do not have to be conscious of rules in order to use them
Term
Language Meaning
Definition
The meaning of a word in a public natural language like English depends on shared social conventions rather than on idiosyncratic stipulations by individuals. Stipulating that the word "baboon" means or refers to my sister's friends does not magically turn her friends into baboons, and it also does not magically change the English language or the meaning of the word "baboon" in the public English language.
Term
Linguistics
Definition

Linguistics is the study of language - how it is put together and how it functions. Various building blocks of different types and sizes are combined to make up a language. Sounds are brought together and sometimes when this happens, they change their form and do interesting things. Words are arranged in a certain order, and sometimes the beginnings and endings of the words are changed to adjust the meaning. Then the meaning itself can be affected by the arrangement of words and by the knowledge of the speaker about what the hearer will understand. Linguistics is the study of all of this. There are various branches of linguistics which are given their own name, some of which are described below. Linguists are people who study linguistics.

Term
Refential (Descriptive) Theory of Linguistics
Definition

One common sense theory is that expressions have meanings because they stand for things: they mean what they stand for. Words are like labels. “Charlie Chaplin” denotes the person Charlie Chaplin. The word “cat” stands for a member of Felis catus. And the sentence “Charlie Chaplin kicked a cat” stands for Charlie Chaplin having kicked a cat, presumably because “Charlie Chaplin” denotes the person Charlie Chaplin, “kicked” stands for the act of kicking in the past, and “a cat” refers to a member of Felis catus.

This Referential Theory of Meaning is attractively simple, but it has some problems.

Term
When a word describes or refers to an object, is the meaning of that word the same as the object to which it refers?
Definition
No. If two phrases can have different meanings but refer to the same object, then their meanings cannot be the same as the object to which they refer.
Term
Three levels (acts) of language
Definition
  • Linguistic Act - producing meaningful utterance
  • Speech Act - Advising, even if not persuasive
  • Conversational Act - Persuasion
Term
Truth
Definition
that something is the case
Term
Validity
Definition
the truth of the premises guarantees the truth of the conclusion
Term
Soundness
Definition
the argument is valid with true premises
Term
Strength
Definition
degree to which the conclusion is warranted
Term
Cogency
Definition
the argument is strong with true premises
Term
Defeasibility
Definition

the addition of information can change the strength of the argument


  • Deductive arguments are indefeasible, Only Inductive arguments are defeasible.
Term
Utterance
Definition
In spoken language analysis an utterance is a smallest unit of speech. It is a continuous piece of speech beginning and ending with a clear pause. In the case of oral languages, it is generally but not always bounded by silence. Utterances do not exist in written language, only their representations do. They can be represented and delineated in written language in many ways.
Term
Performative Utterance
Definition
In the philosophy of language and speech acts theory, performative utterances are sentences which are not only describing a given reality, but also changing the social reality they are describing.
Term
Conversational Utterance
Definition
The speech is overtly communicative beyond the meaning of the words used (e.g., “I never brag about my grades” coveys the thought “I am modest”).
Term
Grice's Maxims
Definition
  • Maxim of Quantity
  • Maxim of Quality
  • Maxim of Relation
  • Maxim of Manner

As the maxims stand, there may be an overlap, as regards the length of what one says, between the maxims of quantity and manner; this overlap can be explained (partially if not entirely) by thinking of the maxim of quantity (artificial though this approach may be) in terms of units of information. In other words, if the listener needs, let us say, five units of information from the speaker, but gets less, or more than the expected number, then the speaker is breaking the maxim of quantity. However, if the speaker gives the five required units of information, but is either too curt or long-winded in conveying them to the listener, then the maxim of manner is broken. The dividing line however, may be rather thin or unclear, and there are times when we may say that both the maxims of quantity and quality are broken by the same factors.

Term
Maxim of Quantity
Definition
where one tries to be as informative as one possibly can, and gives as much information as is needed, and no more.
Term
Maxim of Quality
Definition
where one tries to be truthful, and does not give information that is false or that is not supported by evidence.
Term
Maxim of Relation
Definition
where one tries to be relevant, and says things that are pertinent to the discussion
Term
Maxim of Manner
Definition
when one tries to be as clear, as brief, and as orderly as one can in what one says, and where one avoids obscurity and ambiguity.
Term
Cooperative Principle
Definition

In social science generally and linguistics specifically, the cooperative principle describes how effective communication in conversation is achieved in common social situations, that is, how listeners and speakers must act cooperatively and mutually accept one another to be understood in a particular way. As phrased by Paul Grice, who introduced it, "Make your contribution such as it is required, at the stage at which it occurs, by the accepted purpose or direction of the talk exchange in which you are engaged." Though phrased as a prescriptive command, the principle is intended as a description of how people normally behave in conversation. Jeffries and McIntyre describe Grice's maxims as "encapsulating the assumptions that we prototypically hold when we engage in conversation".

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