A priori/posteriori
Definitions
Find X
Final Jeopardy
100
if you lube the chain on your bicycle, it runs better
a priori
100
infinite regress
An endless chain of regress. Examples are acceptable
100
If the sum of two consecutive integers is 125, what is x and what are the integers?
x = 62 62;63
100
Watch Video
What is this example of? Why? Are you Sure? Positive? Hmmmm idk looks like you got it wrong are you sure you don't want to change your answer? K have it your way.
200
George W. Bush was president from 2001 to 2009
A posteriori
200
formal system
Axioms Deductive Reasoning Theorems
200
If the sum of two consecutive even integers is 66, what is x and what are the integers?
x = 32 32;34
300
Smoking causes lung disease in humans.
a posteriori
300
Analytic/Synthetic Propostions
analytic = true by definition synthetic = not analytic
300
If the sum of three consecutive odd integers is 94, what is x what are the integers?
x = 30 30,31,33
400
If Barack Obama was president for 2 years, then he was president for more than 1 year.
A priori
400
Goldbach's Conjecture
A famous mathematical conjecture according to which every even number is the sum of two primes.
400
If the sum of three consecutive even integers is 69, what is x and what are the integers?
x = 21 21,23,25
500
All fathers have a child
A priori
500
Godel's Incompleteness Theorem
It is impossible to prove that a formal mathematical system is free from contradiction.
500
If the sum of 5 consecutive even integers is 100, what is x and what are the integers?
x = 16 16,18,20,22,24