Confutus schrieb:
>
> .... One is not a number, said the Greeks.
( said some Greeks) One is not a multitude, it's a singleton.
> Zero is not a number, said the abacists.
It's the empty set, nothing in a box, the inner ribbon, which connects
all logical contradictions ( f.e. ({ n | n natural number, n > 2 }
intersected with { n | n natural number, n < 2 } ) ).
> The fractions and
> the negatives are not numbers, said the early arithmeticians.
Fractions are quantitative relations between two numbers
The negatives exists only in relation to positives, they exist into the
opposite direction
> The reals are not numbers, said the old rationalists.
(When they are not fractions, then.. )They exists only in the relation
of incommensurable quantities.
> The imaginaries are not numbers, said the early algebraists.
They are locations at an right angle to a principle direction.
> And where is their mathematics now? It was either absorbed and
> surpassed by the newer methods, or discarded when it conflicted with
> them. Thus it has been, and thus it shall be again.
Amen. Or : thus it might be.
Truth is not a number, may be some logicians thought.
But if You look at pure structure, one can assign a number, the One, to
truth and also a Zero to Untrue, to False. And these numbers are stored
in the memory of the computer in front of You.
There are circuits in it, which state, that when f ( A ) = 0 and f ( B
) = 0,
then f ( A OR B ) = 0. So false is imposible too, it stays assigned to
zero. There are three other combinations of ones and zeroes possible,
and for each one is f( A OR B ) fixed.
galathaea wrote:
>> UNCERTAINTY IS NOT A TRUTH VALUE!
So now my question: If f ( A OR B ) = 1 , what can we say about f ( A )
and f ( B ) ?
Right, their are three possiblities. So the true answer is in between
the three possible ones. One is a singelton in a multitude. So we can
assign to every single possibility the value One, as a logical value of
possibilty, not as a truth value. And if there is only one One left
over, this now points to the truth. And if there is no One, everything
is impossible and false.
Galathaea wanted process, not static. Numbers developed with
operations, with counting, adding, subtracting, multiplying, dividing,
building infinte sums and ordering pairs. So let's talk about
calculations with logical values of the possible and the impossible.
Friendly greetings
Hero
