Question

Does anyone know the differences and similarities between theorems and conjectures?

Answer 1

The difference between a theorem and a conjecture :-

Theorem :- Something which is true and can be proved .

I am giving a very simple example here .

Angle sum theorem :- sum of all angles in a triangle will be equal to 180° .

This is a theorem because every interior angle of a triangle will add up to 180° . It cannot change .

So , something that is definitely true and can be proved is a theorem .

Conjecture :- Something that is supposed to be true , but still hasn't been proved to be true .

Example :-

1a = 10

2a = 20

3a = 30

With this you can guess that 4a must be equal to 40 , but it can't be proved without using algebra .

Therefore , something which is likely to be true is a conjecture ( in maths ) .