I'm so fed up with this site. I just wrote a long reply to you and as I submitted it, I was told I had been automatically logged out!
Hi, thanks for your question.
I'm afraid I can't help you anything like as much as i'd like to. There is a gulf between physicists and logicians...
Hi,
The Field Axioms prescribe the theory of fields which is a first-order theory. First-order theories don't need an axiom for closure although one is often shown. An axiom for closure for groups is not needed either, although one is almost always shown. The reason for one not being needed...
I think I can agree to this; I think.
When I say Physical Laws, I am not talking about the things we write down on paper; I am talking about those things in Nature that govern the physical processes. They might be a system of symmetries.
I can see I need to word my questions much more...
Yes, I think that gravitational singularities could involve logical discontinuity.
I guess you already saw this:
http://steviefaulkner.wordpress.com/2009/11/07/whos-afraid-of-a-big-black-hole-can-self-reference-help/
Foundations of The Quantum Logic
How the Universe works does not involve experiments nor our understanding it. It proceeds without us according to whatever symmetry rules are in it, as well as whatever rules of logic govern cause and effect. If physics concerns only experiments and people, then I am not talking about physics...
On the grounds of scientific open-mindedness should we not look at logic for answers in physics? Quantum Physics has logical problems. Issues have gone without answer for at least 83 years. So too does Chaos.
A recent line of enquiry:
Foundations of The Quantum Logic...
Russel's Paradox is not something to be brushed off lightly. It is related to The Liar Paradox: "This sentence is a lie." Kurt Gödel altered this slightly to "Is this sentence provable?" And from that question he proved his famous Incompleteness Theorems using self reference. Since that time...
Yes you can make arguments like this about many things. Your own statement about computers is a good example of self reference. Do you know of a computer/robot, that is genuinely turned off, with no power to it, that can switch itself on?
My question is whether a universe needs an outside...
If the Physical Laws are not part of the Universe, where are they? If science is concerned with understanding the Physical Laws; is it not inconsistent, to accept without understanding, Agencies causing the Physical Laws?
Self reference is a phrase used in logic. If I write a statement like: "The Universe includes the Physical Laws" and then write another: "The Physical Laws control the Universe", The two statements together imply that the Physical Laws control the Physical Laws. Which is self referent.
We keep searching for the Physical Laws but is anyone looking for the Laws that brought them about?
Is it not inconsistent to expect Physical Laws to have no cause?
Foundations of The Quantum Logic
I've been working on a project that discovers the source of the philosophical anomalies of Quantum Mechanics. There is a larger set of logical values in quantum mathematics than can be encapsulated by straight Applied Mathematics. Instead, we should be using first-order logic. [nothing to do...