wow, i'm very interested in such things and in mathematical questions generally.. it's sooo weird some things and i'm always curious about learning something new about mathematics and the most trivial things with which mathematicians cope with^^
hmm.. i would say that both statements are right(plus! you can put both statements equal), but no. 1 is a statement of higher quality(if you know what to do with it). It may be clear that numbers(like 2
) and operators(like + or -
) which are defined by somebody can be stated equal by the sign =
which means that something is equal to something and something is always equal to itself..
But you can only say that if you post a statement before, a so called axiom
, which says that 1+1
, calculations are true. And in the case of statement no. 2 you have to say that a(which is 2+2
) is equal a
itself). And this thinking of humanity is correct i think, because our experience says that something is something itself. You could also define it otherwise if you want, but it's the most appealing statement of us to say that something is something itself.^^
BUT! You can also say that this statement no. 2 also means a+a=a+a
. If you wouldn't know what this +
means in this equation, you would say that a+a
. But it is rational to say that a
here is 2+2 because it has no meaning what is left or what is right because the operators and the numbers on both sides are the same and that always means that it's an equation!
In statement no. 1 another number(the 4) appears, which may be irritating for somebody who can only count until 2(in statement no. 2). You don't have to count until 3 to understand statement no. 2, but if you post the decimal system(i don't know if the decimal system counts as an axiom) as something which IS, you can understand this equation with help of the knowledge of the meaning of the operator +
. With the number 4
in statement no. 1, you summarized and you shortened the form 2+2
in to one single number(4=2a
). You could say that it's a secret script which everybody can understand[if you know the code for it(the operators)^^].
In statement no. 2 it's the same, but you can also understand this statement(that the left side is equal the right side) without the meaning of the operator, but in statement no. 1 at the first sight, you don't know if the left side (2+2
really is the same as the right side 4
1. Snow is white or not white
#1 has the form p v ~p (v=or). This statement is always true in all possible worlds. So, any statement of the form p v ~p must always be true.
It's all about axioms. How do you know that this law exists in every world?
2. Snow is white and not whiteAnswer me:
#2 has the form p & ~p. This one is false in all possible worlds. So anything that takes this form must be false.
Is the following statement right?
1. Everything which is matter has got no matter at the same time!
This one would be p & ~p
as you said. Nobody ever would have believe that it could be two things(matter and
no matter) at the same time(like snow couldn't be white and
not white at the same time).
But for LIGHT
this statement is TRUE
It simply IS UNLOGICAL
, but it IS TRUE
(That means that we only use and calculate in logics because it's more easier for us and not because it is THE truth)
Therefore, when someone earns a PhD, they have studied their subject to the highest extent, philosophically . It is why philosophy has historically been the queen of the sciences along with theology
Philosophy is more concerned with the nature of God based on reason itself (logical argumentation & empiricism).
Yes, i admire philosophy! *sigh
*moans* Ah, if only humanity would return to the times where the arts subjects(music, philosophy, logic, rhetorics, etc.) were celebrated in school!
But instead of this, subjects like Business seem to be more and more important.
It is "also" honorable to learn an art subject to "its highest extend"(what the todays most skilled philosophers(mathematicians, physicians, etc.) problems are).
Yes, philosophy is a very good subject which deals about life and the world and the sense of living itself which is of course honorable, but philosophers also spread doubts, which can also destroy the beliefs of people of any religion. But philosophers can also inspire the French Revolution for example, which is very positive.^^
As i already said: Light is matter and has at the same time no mass. Discovers like this physical discover automatically is ALSO philosophy, because it shows that logic does not always exist always and everywhere.Physics
gives the laws. Mathematics
does the rest. Philosophy
combines the results with the experience of humanity. But this all is only a very very very little piece of the truth