Kind of hard, but not really:)
The first statement that sets the general context or universal truth.
Major Premise
Conditional syllogisms involve reasoning about conditional statements, where the truth of one statement depends on the truth of another. T or F?
True
Form of reasoning in which a conclusion is drawn from two given or assumed propositions
Syllogism
The truth of one statement depends on the truth of another.
Conditional Syllogism
Statements in syllogisms typically use quantifiers. Name three quantifiers.
All, some, & no
The second statement that introduces specific details or examples.
Minor Premise
The logical inference drawn from the premises.
Conclusion.
If A implies B, and B implies C, then A implies C. Formula for this Conditional Syllogism.
Hypothetical Syllogism
"If the battery is dead, the car won't start. The car started, so the battery is not dead." Example of this Conditional Syllogism.
Modus Tollens
In a valid syllogism, the middle term must be distributed at least twice in the premises for the conclusion to be valid. T of F?
False. At least once
What does the “A” stand for in a Conditional Syllogism?
Antecedent
How is a Conditional Syllogism written symbolically?
A → B
What are the three common forms of Conditional Syllogisms?
Modus Ponens, Modus Tollens, Hypothetical Syllogisms
Allows us to infer the affirmation of the consequent based on the affirmation of the antecedent in a conditional statement.
Modus Ponens
In a standard categorical proposition these can be distributed.
What does the “B” stand for in a Conditional Syllogism?
Consequent
"If it rains, the ground is wet. If the ground is wet, people use umbrellas." Example of this Conditional Syllogism.
Hypothetical Syllogism
Modus Ponens: If __ implies __, and __ is true, then __ is true.
Modus Ponens: If A implies B, and A is true, then B is true.
"If it's Monday, then I have a meeting……. (Finish the syllogism written in the form of Modus Ponens
It's Monday, so I have a meeting.
A term is said to be ________ when the statement refers to all members of the category it represents.
Distributed.
Conditional syllogisms are a specific type of logical reasoning that deals with statements of the form “_____......______.”
If... Then
It is a rule of inference that allows us to draw a negative conclusion when the consequent of a conditional statement is negated.
Modus Tollens
Modus Tollens: If __ implies __, and __ is false, then __ is false.
Modus Tollens: If A implies B, and B is false, then A is false.
When the middle term is not distributed in at least one premise this is what it is called.
A Fallacy
Affirming the consequent and denying the antecedent can make your syllogism fall apart due to it being this.
A fallacy.