Theorem vs Postulate

in this video we're gonna suss the

difference between a theorem and a

postulant so what is the difference

between a theorem and a pasta well a

theorem is something that we can prove

to be true a statement that can be

proven to be true and usually it's in an

if-then form i postulate again is you

can put them in if-then form and

postulate is something that we accept

which was a statement that we just

originally accept to be true and so

what's really the difference between

them okay is not much except that we

have postulates are basically the

building blocks of theorems now again

both these terms are something that

people use to maybe like you can you can

sound very smart by actually saying

things like oh by this postulate by this

theorem and it's used a lot when it's

not really something that initially

proven true or accept to be true etc but

again we can write think of Possible's

as the building blocks where the axioms

both true terms are used interchangeably

versus a theorem so a lot of times these

are the building blocks for our theorems

and once we've proven something to be

true we don't reprove it every time so

there's certain theorems I'm going to

come about that we will prove to be true

and once we've proven them to be true we

can just use them as a just use them in

everyday life without actually like

reproving and every single time that'd

be a waste of time

so again passports are a little building

blocks is it you know we use that for

buildings things that we accept to be

true there's certain things mathematics

that we we have to just accept to be

true we can't we can't just start with

them to be like our a as a proof because

there's some the building blocks we just

have to have the basics like hey we

accept these things to be true let me

know them to be true and a lot of times

they're impossible depending on a lot of

times like you'll see in your math books

if you're the high school level versus

the college level there's some things at

the high school level that are

considered postures because to prove

them uses a lot of upper level math that

a high school student wouldn't be able

to do and then you find out to go to

college and study more mathematics and

it'll be called a theorem later on

that's just a myth picky thing so anyway

a lot of these are used in what we call

an if-then

form okay we're saying if then forms so

like if something happens then something

else what happened we call those a

conditional statement a conditional

statement so a lot of times you'll see

it as if P then Q is lowercase so if P

then Q these are just our statement here

so if such-and-such happens then someone

so will happen so for example we can use

a conditional saying that's a true

statement like if an angle is a right

angle okay then then what would what do

we know about then it's measure is 90

degrees okay this is just an if-then

statement and so most theorems

postulates will be written in this

if-then form that if an angle is a right

angle event its measured in degrees I'm

not saying that this is if you're no

more a postulate I'm just gonna be the

form of usually these are written out

those videos informative and thank you

for watching