not believing and denying are exactly the same thing.
definition of believe: to accept as true or real
therefor, the definition of not believing: to not accept as true or real
the definition of deny is: to refuse to believe. so yes, they are one and the same.
'For any proposition, it is either true or not true' - absolutely. but what if the propostion has not been made yet? before the proposition comes to light, true or not true is neither here nor there.
and i don't follow your stamp collecting analogy. you do not need to know of the concept of collecting stamps in order to not be a stamp collector, but you do need to be aware that people collect stamps in order to react with a 'no they don't' should you wish to deny it.
definition of believe: to accept as true or real
therefor, the definition of not believing: to not accept as true or real
the definition of deny is: to refuse to believe. so yes, they are one and the same.
'For any proposition, it is either true or not true' - absolutely. but what if the propostion has not been made yet? before the proposition comes to light, true or not true is neither here nor there.
and i don't follow your stamp collecting analogy. you do not need to know of the concept of collecting stamps in order to not be a stamp collector, but you do need to be aware that people collect stamps in order to react with a 'no they don't' should you wish to deny it.