ch 8-9 continued Flashcards
A graphic means of representing a categorical claim or categorical syllogism by assigning classes to overlapping circles is called a
Venn Diagram
Venn diagrams exactly represent the ______.
four standard-form categorical claim types
In Venn diagrams the circles represent what?
the classes named by the terms
Colored areas in Venn diagrams represent what?
areas that are empty
Areas containing X’s in Ven diagrams represent?
areas that are not empty-that contain at least one item
An area in a Venn diagram that is blank is one that
the claim says nothing about; it may be occupied or empty
A claim that INCLUDES one class or part of one class within another are _______.
Affirmative Claims
A claim that EXCLUDES one class or part of one class from another are _______.
Negative Claims
A- and I-Claims are examples of what claims
Affirmative
E- and O-Claims are examples of what claims
Negative
The main idea of ________ is to take an ordinary claim and turn it into a standard-form categorical claim that is exactly equivalent.
Translation into Standard-Form
We’ll say that two claims are _______ ______ if and only if they would be true in all and exactly the same circumstances-that is under no circumstances could one of them be true and the other false.
Equivalent claims
basically they are saying the same things
Every X is a Y translates to
A-Claim: All X’s are Y’s
Minors are not eligible translates into
E-Claim: No minors are eligible people
We translate: “ There were creatures weighing more than four tons that lived in North America” to
I-Claim: Some creatures that lived in North America are creatures that weighed more than four tons
When looking at a claim you do two things first
- identify the terms
- identify whether its an A-E-I-O-Claim think carefully about what relation between classes is being expressed and then decide how that relation can be turned into standard form.
identify the terms and what type of claim this is:
“Only sophomores are eligible candidates”
Terms: Sophomores and eligible candidates
A-Claim: but there are two possibilities
-All sophomores are eligible candidates
-All eligible candidates are sophomores<—–this best represents
All claims that are “Only X’s are Y’s” should be translated as
All Y’s are X’s
What word plays a crucial role in claims making us treat the claims differently
only