applications of mathematical logic?

Answer 1

1+1=2

Answer 2

One form is called "analysis".

The rules are quite strict. Once learned, they can be applied to other fields where you can arrive at logical conclusions.

It can be used to solve very difficult problems.

One (very simple) example:
You need to know if the equation has a real root (i.e., is there a value of x in real numbers that will make f(x)=0 ).

f(x) = x^2 - 4x + 8

You could rewrite as:
f(x) = x^2 -4x + 4 + 4
f(x) = (x^2 -4x +4) + 4
f(x) = (x-2)^2 + 4

The first term is a square; in real numbers, a square can never be negative. The lowest value a square can have is 0.
The second term is +4.

This means that the lowest value f(x) can have is +4.
Therefore, we conclude, f(x)=0 is impossible,
meaning f(x) has no roots.

Answer 3

Once you define an entity, the in many cases it is possible to represent it in math language, as a formula.

This may be loosely called "mathematical logic".

Few examples are listed below.

Example E= iR (DC electric theory).

Density = Mass/ volume.

Answer 4

Truth Tables

Answer 5

see first of all maths is just an language of physics as mother tunge is the lanuage for us.......im maths we have a sub-subject called.....STATS.....ya man..thts the thg that is used in each and every application in todays world.......this is the subject that is connected to lots of subjects......

it is used to analysie.....form table...averages......etc.......

so nt maths i hope but a part of maths.......is applicable..
for ex:-if u know cricket......when rain falls they apply DUCKWORTH LEWIS method to found the winner of the match.......so tht method has backbone as stats...k

Answer 6

Best Example in FUNCTIONING OF COMPUTERS (binary numbers ).......................