math 1A Flashcards
Logical arguments and Fallacy
What does a logical argument always include?
A least one premise and one conclusion. An argument uses a set of facts or assumptions, called premises, to support a conclusion.
Logical argument needs what
A logical argument needs to have a conclusion
Consider the argument “I don’t support the President’s tax plan because I don’t trust his motives.” What is this argument an example of?
this argument uses the fallacy of personal attack
Suppose that the fact that an event A occurs before event B is used to conclude that A caused B. What is this an example of? Explain your reasoning.
An argument that uses the fallacy of false cause. The fact that one event came before another event is not evidence that the first event caused the second event.
A fallacy is a deceptive argument. It is an argument in which the conclusion is not well supported by the premises.
A fallacy is a deceptive argument. It is an argument in which the conclusion is not well supported by the premises.
Even though your argument contains a fallacy, your conclusion is believable.
the conclusion can be believable
I became sick just hours after eating at Burger Hut, so its food must have made me sick.what is the fallacy?
False clause
Senator Smith’s bill on agricultural policy is a sham, because he has accepted contributions from companies that sell genetically modified crop seeds. What is the fallacy?
Personal attack
I ate oysters for dinner and later that night I had a nightmare. Oysters caused my nightmare.What is the fallacy?
False clause
I ate oysters for dinner and later that night I had a nightmare. Oysters caused my nightmare.Why is the argument deceptive?
The premise tells us one thing happened before another, but doesn’t prove any connection between them.
Your answer is correct.
All the nurses in a hospital are women, so women are better qualified for medical jobs.What type of fallacy is it?
Hasty generalization
Prison overcrowding is a crisis that we must alleviate through increased use of capital punishment. What type of Fallacy is this?
Limited choice fallacy
appeal to popularity
Many people believe p is true: therefore….p is true
Appeal to ignorance
There is no proof that p is true therefore p is false
Limited choice
p is false; therefore only q can be true
the negation of a proposition p is another proposition that makes the opposite claim of p
if p is true,not p is false
if p is false,not p is true
Symbol ~p = not p
proposition p is called
hyphothesis
proposition q is called
conclusion
Which of the following is an example of a conditional?
If I have a voice, then I can sing.
Which of the following is an example of a disjunction?
I have a voice or I can sing.
Which of the following is an example of a conjunction?
I have a voice and I can sing.
The state has no right to take a life, so the death penalty should be abolished what type of fallacy is it?
Circular reasoning