is there difference between formulas and proofs?
yes
formulas have to be proven; and once proven can be used to establish other proofs
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
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.
A conjecture when proven becomes formula ...
what is a axiom?
an axiom is a simple statement that is regarded as true.
God exists, is an axiom.
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.
it depends on the nature of the system which you are trying to create :)
"axiom," "postulate", and "assumption" may be used interchangeably.
Pascal stated that there are somethings which cannot be broken down into simpler stuff. When we get down to that level, they are axioms
God exists, is an *NOT* axiom, for many.
Fool, it is an axiom for the system in which God is believed in.
There is no proof for God, and those systems which adhere to such a being use "God exists" as an axiom
Well axiom is something which is considered as a starting point and no logical deduction precede it else it would be called as theorem.
right
wait what is a theorem?
A thrm is a conjecture that has been proven consistent according to the axioms that have been agreed upon
Tell me a mathematical system which adhere to the 'axiom' : ""God exists" ? ;)
Pythagorus maybe? lol
how? :D
God created the integers .... or so ive been led to believe
The argument tho is not if "God exists" is a mathematical axiom; but rather it demonstrates what an axiom is.
Any conjecture which is established on the basis of previously established statements,and previously accepted statements, such as axioms is theorem.
How do you know that God created the integers?
I sense amistre64's conjecture :D
lol ... who am I to argue with the smartest people? Kronecker and Hawkings ;)
what can you guys tell me about laws of syllogism ??
in relation to math
there are practically 5 laws to detect the flaws in Aristotelian syllogisms..
syllos? i got nothing :)
Unless they can prove and publish it .. all are just plain conjectures..
I studied syllogisms in my logic class..
hmm
lol so what are syllogisms
Join our real-time social learning platform and learn together with your friends!