PPT week 36 Flashcards
(14 cards)
What is science?
Collection of scientific knowledge
What is demarcation problem?
Defining what is science and what isn’t
What is an argument?
(Syllogism) An argument is a formalized written out bit of reasoning
It has 2 parts: premises and conclusions
What are 2 parts of an argument?
Premises and conclusions
What is truth preservation?
In a logically valid argument true premises always lead to conclusions
Truth preservation rule
In a logically valid argument, true premises always lead to true conclusions
If not all premises are true, we don’t know whether the conclusion will be true or not
For example: all rabbits are mortal & Socrates is a rabbit => Socrates is mortal
What is an invalid argument?
An invalid argument is a mistake in logic
What is logic?
Logic is about the form of the argument, not the exact context of the premises
What is modus tollens ?
Is A is true then B is true
B is untrue
Therefore A is untrue
For example
If Socrates is god, he is immortal
Socrates is not immortal
Therefore: Socrates is not a god
Or
If it is a car it has wheels
It doesn’t have wheels
Therefore it is not a car
This is a CORRECT argument
What is modus ponens?
If A is true, then B is true
A is true
Therefore B is true
If it is a car then it has wheels
It has wheels
Therefore it is a car
All men are mortal
Socrates is a men
=> Socrates is mortal
This is a CORRECT argument
Affirming the consequent examples
If you drank too much yesterday, you have a headache
You have a headache
Therefore, you drank too much yesterday
(Incorrect logic, maybe you have a headache today because you are sick)
IF A is true, then B is true
B is true
Therefore A is true
This is INCORRECT argument
Denying the antecedent
If you work hard on this course, you will get a good grade
You don’t work hard on this course
Therefore you won’t get a good grade
The logic is wrong. You can still get a good grade
If A is true, then B is true
A is not true
Therefore B is not true
This is INCORRECT argument
What are the 4 forms of argument, which are correct and which aren’t?
CORRECT:
Modus Polens
Modus Tollens
INCORRECT:
Denying the antecedent
Affirming the consequent
Example with the car: Modus Ponens, Modus Tollens, Affirming the consequent, denying the antecedent
MODUS PONENS
If it is a car, then it has wheels.
It is a car.
Therefore, it has wheels.”
If A is true, then B is true. A is true. Therefore B
MODUS TOLLENS
“If it is a car, then it has wheels.
It does not have wheels.
Therefore, it is not a car.”
If A is true, then B is true. B is not true. Therefore A is not true
AFFIRMING THE CONSEQUENT
“If it is a car, then it has wheels.
It has wheels.
Therefore, it is a car.”
If A is true, then B is true. B Is true. Therefore, A is true
DENYING THE ANTEDECENT
“If it is a car, then it has wheels.
It is not a car.
Therefore, it does not have wheels.”
If A is true, then B is true. A is not true. Therefore, B is not true