PPT week 36 Flashcards
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