Chapter 5 quiz true/false
Every syllogism is a categorical syllogism.
False
If a standard-form categorical syllogism violated one the first four rules, it may still be valid.
False
If a standard-form syllogism breaks only Rule 5 and its three terms are "dogs," "cats," and "animals," then the syllogism is valid from the Boolean standpoint.
False
If a standard-form syllogism breaks only Rule 5 and its three terms are "elves," "trolls," and "gnomes," then the syllogism is valid from the Aristotelian standpoint.
False
If a valid standard-form syllogism has an E statement as a premise, then its conclusion can be an A statement.
False
If a valid standard-form syllogism has an O statement as its conclusion, then its premises can be an A and an I statement.
False
If the conclusion asserts that a certain area contains an X and inspection of the diagram reveals that only half an X appears in that area, the argument is valid.
False
If the conclusion asserts that a certain area is shaded, and inspection of the diagram reveals that only half that area is shaded, the argument is valid.
False
If, in a completed diagram, three areas of a single circle are shaded, but the argument is not valid from the Boolean standpoint, then it must be valid from the Aristotelian standpoint.
False
In the use of Venn diagrams to test the validity of syllogisms, marks are some times entered in the diagram for the conclusion.
False
Some categorical syllogisms cannot be put into standard form.
False
The major premise of a standard-form categorical syllogism contains the subject of the conclusion.
False
The statements in a standard-form categorical syllogism need not be expressed in standard form.
False
If a completed diagram contains two X's, the argument cannot be valid.
True
If a standard-form syllogism breaks only Rule 5 and its three terms are "dogs," "cats," and "animals," then the syllogism is valid from the Aristotelian standpoint.
True
If a standard-form syllogism has an E and an O statement as premises, then no conclusion follows validly.
True
If a standard-form syllogism has two I statements as premises, then it is invalid.
True
If a valid standard-form syllogism has an E statement as its conclusion, then both the major and minor terms must be distributed in the premises.
True
If an X lies on the arc of a circle, the argument cannot be valid.
True
If the conclusion is in the form "All S are P," and inspection of the diagram reveals that the part of the S circle that is outside the P circle is shaded, then the argument is valid.
True
If, in a completed diagram, three areas of a single circle are shaded, and placing a circled X in the one remaining area would make the conclusion true, then the argument is valid from the Aristotelian standpoint but not from the Boolean standpoint.
True
In a standard-form categorical syllogism the two occurrences of each term must be identical.
True
In a standard-form syllogism having Figure 2, the two occurrences of the middle term are on the right.
True
It a standard-form syllogism has an I statement as its conclusion, then Rule 2 cannot be violated.
True
The conditionally valid syllogistic forms are invalid if the requisite condition is not fulfilled.
True
The statements in a categorical syllogism need not be expressed in standard form.
True
The unconditionally valid syllogistic forms are valid from both the Boolean and the Aristotelian standpoints.
True
To determine its mood and figure, a categorical syllogism must first be put into standard form.
True
When an X is placed on the arc of a circle, it means that the X could be in either (or both) of the two areas that the arc separates.
True
When representing a universal statement in a Venn diagram, one always shades two of the seven areas in the diagram (unless one of these areas is already shaded).
True
