discontinuity ends

[AntonioLao]

Discontinuity ends when the axiom of choice becomes the fundamental axiom of all mathematical analyses. Without it the universe appears rational and integers and fractional math are only things capable of being manipulated. With it the universe appears continuous and irrational.

[Guille]

Discontinuity ends when the axiom of choice becomes the fundamental axiom of all mathematical analyses. Without it the universe appears rational and integers and fractional math are only things capable of being manipulated. With it the universe appears continuous and irrational.

What about pi, e, and other irrational numbers? They are part of the universe, you say they wouldn't exist?

[AntonioLao]

Rational numbers exist in a rational universe. Irrational numbers exist in an irrational universe. We have one foot in each of these universes, which is called the quantum universe. According to quantum mechanics, these cannot both be real. If one is real the other is imaginary, vice versa.

[Guille]

Rational numbers exist in a rational universe. Irrational numbers exist in an irrational universe. We have one foot in each of these universes, which is called the quantum universe. According to quantum mechanics, these cannot both be real. If one is real the other is imaginary, vice versa.

But then, TOE is trying to unify the un-unifyable?

[AntonioLao]

But then, TOE is trying to unify the un-unifyable?

We are just using both in all our mathematical equations. Numbers by themselves do not possess a physical existence until they are associated with the external physical reality. 1 is a real number but not physically real until it is the adjective of 1 apple.

[Guille]

We are just using both in all our mathematical equations. Numbers by themselves do not possess a physical existence until they are associated with the external physical reality. 1 is a real number but not physically real until it is the adjective of 1 apple.

I know numbers exist, but are not physical. Well, if you think about it, if you make a number 1 sculpture out of stone, then it physically exists, although it doesn't exist as number but as sculpture with the shape of a number which we call 1.

[AntonioLao]

sculpture with the shape of a number which we call 1

Using binary system, there are only two symbols of numbers and all the followings will do just fine: 1 and 0, yes and no, up and down, left and right, forward and backward, + and -, this and that, you and me.

[mkirkpatrick]

Antonio why not do away with all numbers,instead look at thoughts and symbols instead.
forget maths,forget numbers,tune into your higher self,awaken your inner monitor,the
soul,tune into that inner intuition that you posess,then the answers will come to you about
all sorts of universal phenomena,the answers will come in thoughts flashed into your brain
via your mind,and higher self.then you will understand discontinuity,not by maths though,
but by thoughts highlighting the answers for you,go on Antonio,give it a bash!What have you to loose!

warm regards michael.

[Eric]

Discontinuity ends when the axiom of choice becomes the fundamental axiom of all mathematical analyses. Without it the universe appears rational and integers and fractional math are only things capable of being manipulated. With it the universe appears continuous and irrational.

No matter the axiom that is fundamental, it is still an axiom. As such, it is an "assumption" that all "proofs" are based on. Rigorously speaking, therefore, all proofs only "appear" to be proof and our observation of them as anything more, is false.

Only a non-axiomatic methodology is capable of PROOF.

[baudrunner]

Discontinuity ends with the continuation of a thread, or begins anew when I respond to the original thread starter, as I am doing now, perhaps to be continuously discontinuous, so long as the thread is active.