How is a theorem different from a postulate
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
