17. A strong enumerative
induction cannot have false premises
.
What are the qualities of a strong Enumerative induction?
An inductive argument is intended to provide only probable support for its conclusion, being considered
strong if it succeeds in providing such support
and weak if it does not.
How do you determine if an Enumerative argument is strong or weak?
An inductive argument
What is the major way in which an enumerative induction can fail to be strong Why?
An enumerative induction can fail to be strong by
having a sample that’s too small or not representative
. When we draw a conclusion about a target group based on an inadequate sample size, we’re said to commit the error of hasty generalization.
What is Enumerative induction and what is its argument pattern?
An inductive argument is
intended to provide only probable support for its conclusion
, being considered strong if it succeeds in providing such support and weak if it does not. In enumerative induction, we argue from premises about some members of a group to a generalization about the entire group. …
Can a strong argument have false premises?
A valid argument
What types of arguments are logically strong?
Logical strength is the degree of support that the premises, if true, confer on the conclusion. This attribute applies to both
deductive arguments
(by virtue of validity) and inductive arguments
What is inductive argument examples?
An example of inductive logic is, “
The coin I pulled from the bag is a penny
. … Therefore, all the coins in the bag are pennies.” Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false. Here’s an example: “Harold is a grandfather.
What is an Enumerative argument?
Enumerative, Analogical, & Causal. Enumerative Argument.
argue from premises about some members of a group to a generalization about the entire group
. The entire group is called the target group; the observed members of the group, the sample; and the group characteristics we’re interested in, the relevant property.
What are examples of induction?
- I got coffee once at the cafe and it was horrible, so all of their coffee must be terrible.
- She’s been married twice and divorced twice; she must be a difficult wife.
- This winter is colder than ever, therefore global warming must not be real.
What does Enumerative induction involve?
Enumerative induction. Enumerative induction is an
inductive method in which a conclusion is constructed based upon the number of instances that support it
. The more supporting instances, the stronger the conclusion. … The conclusion might be true, and might be thought probably true, yet it can be false.
What does induction by enumeration mean?
Induction by enumeration:
A method of scientific discovery of universal generalizations
(e.g., All S are P) based on the enumeration of particular claims (e.g., Some observed S are P).
What is the logical form or pattern of enumerative induction?
Enumerative induction is the
simplest pattern of inductive reasoning
. It is in the category related to traditional syllogistic logic. Example of the form: A is sometimes like B. Therefore, A is always like B.
What can an argument with false premises not be?
In the case of an argument which actually has false premises, it takes a short story or fictional work to do this. Such an argument is
UNSOUND
because the argument does NOT have true premises. … For either example, the logic is valid but the premises are false. For the premises to be true, all of them need to be true.
Can you have all false premises and a true conclusion?
TRUE:
A valid argument cannot have all true premises and a
false conclusion. So if a valid argument does have a false conclusion, it cannot have all true premises. Thus at least one premise must be false. … If an invalid argument has all true premises, then the conclusion must be false.
Can a cogent argument have false premises?
To say an argument is sound is to say it is a “good” argument, that the conclusion ought to be believed. … To say an argument is cogent is to say it is good, believable; there is good evidence that the conclusion is true.
A weak argument cannot be cogent
, nor can a strong one with a false premise(s).
