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Mathematics 17 Online
OpenStudy (anonymous):

is there difference between formulas and proofs?

OpenStudy (amistre64):

yes

OpenStudy (amistre64):

formulas have to be proven; and once proven can be used to establish other proofs

OpenStudy (amistre64):

the more general a formula is; the more useful it becomes overall. And if we can prove the generality of a formula we can use it for many things to make life simpler

OpenStudy (anonymous):

Formula : A mathematical relationship or rule expressed in symbols. Proof: Evidence or argument establishing or helping to establish a fact or the truth of a statement.

OpenStudy (anonymous):

A conjecture when proven becomes formula ...

OpenStudy (anonymous):

what is a axiom?

OpenStudy (amistre64):

an axiom is a simple statement that is regarded as true.

OpenStudy (amistre64):

God exists, is an axiom.

OpenStudy (anonymous):

A statement or proposition that is regarded as true. You don't need to prove an axiom. However, you can't just call anything as axiom.

OpenStudy (amistre64):

it depends on the nature of the system which you are trying to create :)

OpenStudy (anonymous):

"axiom," "postulate", and "assumption" may be used interchangeably.

OpenStudy (amistre64):

Pascal stated that there are somethings which cannot be broken down into simpler stuff. When we get down to that level, they are axioms

OpenStudy (anonymous):

God exists, is an *NOT* axiom, for many.

OpenStudy (amistre64):

Fool, it is an axiom for the system in which God is believed in.

OpenStudy (amistre64):

There is no proof for God, and those systems which adhere to such a being use "God exists" as an axiom

OpenStudy (anonymous):

Well axiom is something which is considered as a starting point and no logical deduction precede it else it would be called as theorem.

OpenStudy (amistre64):

right

OpenStudy (anonymous):

wait what is a theorem?

OpenStudy (amistre64):

A thrm is a conjecture that has been proven consistent according to the axioms that have been agreed upon

OpenStudy (anonymous):

Tell me a mathematical system which adhere to the 'axiom' : ""God exists" ? ;)

OpenStudy (amistre64):

Pythagorus maybe? lol

OpenStudy (anonymous):

how? :D

OpenStudy (amistre64):

God created the integers .... or so ive been led to believe

OpenStudy (amistre64):

The argument tho is not if "God exists" is a mathematical axiom; but rather it demonstrates what an axiom is.

OpenStudy (anonymous):

Any conjecture which is established on the basis of previously established statements,and previously accepted statements, such as axioms is theorem.

OpenStudy (anonymous):

How do you know that God created the integers?

OpenStudy (anonymous):

I sense amistre64's conjecture :D

OpenStudy (amistre64):

lol ... who am I to argue with the smartest people? Kronecker and Hawkings ;)

OpenStudy (anonymous):

what can you guys tell me about laws of syllogism ??

OpenStudy (anonymous):

in relation to math

OpenStudy (anonymous):

there are practically 5 laws to detect the flaws in Aristotelian syllogisms..

OpenStudy (amistre64):

syllos? i got nothing :)

OpenStudy (anonymous):

Unless they can prove and publish it .. all are just plain conjectures..

OpenStudy (anonymous):

I studied syllogisms in my logic class..

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

lol so what are syllogisms

OpenStudy (anonymous):

http://en.wikipedia.org/wiki/Syllogism

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