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crypto5

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I highly doubt Google/Baidu will get into business of recognizing manufacturing defects in fidget spinners or analyzing sensory data

They will build platforms for:

- IoT - single robotic KIT/SDK, which allows you to easily install sensors and integrate data into rest of the platform

- Cloud ML - image recognition/models optimization - will allow to train model and detect defects from previous step by two mouse clicks

and take a lot of added value from small companies.

What about support at the driver level for Java and .NET applications or heterogeneous database schemas?

I guess MariaDB JDBC driver already has two phase commit logic, because MySql has it for decade. It is enough for distributed transactions in "heterogeneous database schemas".

Otherwise, Google owns any IP created while you're at the company.

Not necessary in California: Any provision in an employment agreement which provides that an employee shall assign, or offer to assign, any of his or her rights in an invention to his or her employer shall not apply to an invention that the employee developed entirely on his or her own time without using the employer s equipment, supplies, facilities, or trade secret information. http://law.justia.com/codes/california/2011/lab/division-3/2...

There are exceptions of course, major one: you have not compete with your employer.

How many Musk-like or Brin-like individuals have come through TCS or Wipro or Infosys on a H-1B so far?

You don't know, these people are forced to be in underpaid H1B slavery for decades and are not be able to use business opportunities.

If the supply of axioms and inference rules was infinite, with no finite alternate encoding, it would mean Godel numbering would fail because the process of assigning numbers to each axiom and rule would never complete.

I strongly disagree with that. There is no evidence of that.

And if L1 happens to be strong enough to encode Peano arithmetic, you can construct a statement a Godel statement G1 which refers to logic L1.

As I said before, Godel proved that your G1 is unprovable in specific framework of Principia Mathematics, which is first/second/higher theory/logic (consist on quantors, functions, predicate, variables, rules).

I don't see evidence that there can be no other framework even with Peano arithmetic inside which can't deliver consistent theory. You started speculating about framework with infinite set of axiom, and I disagreed with that, but there can be other type of infinite framework, say when you allow proofs of infinite length, then Godel numbering may be impossible, and it can be example of such framework.

Goedel's Incompleteness Theorem is parametric over formal systems, with first-order Peano Arithmetic being one of the weakest, most standardized systems in which it applies.

It is parametric over formal systems described in Principia Mathematics. That's it. It doesn't take into account other possible types of formal systems. At least I didn't notice this when reading actual proof.

That operator is called a Turing Oracle

I think it may be very different thing. I just gave you a quick example. That operator can be something very different. You can set measure on space of proofs, and derive concept of asymptotic proof, and say if proof is asymptotic, then it is proof. There can be many variations around possible formal systems.

and it's physically impossible

This is very strange argument. Turing machine contains infinite amount of memory, and likely is physically impossible.

Let me give you example. At first you have predicate calculus, and Godel completeness Theorem.

Now you add new tool: existence predicate, and you got first order logic, which allows you to prove Godel's incompleteness Theorem.

What is the guarantee exactly that more advanced systems can't exist? Say system with new 'quantum hack' operator. You can't prove formula from Godel's proof? 'Quantum hack' under some conditions covers missing gap in proof path by building continuum truth table and give you tool to check if formula from Godel's proof actually provable, or it is false.

Proof was made within specific framework, with very specific quantors and type of inference, I still don't understand how it prevents existence of more powerful frameworks with different quantors and inference where incompleteness theorems wouldn't work.

I always was wondering: Godel proved his theorem regarding formal systems described in Principia Mathematics. In my understanding this is some higher level logic with recursive functions.

But how this can be extended to the whole universe of all possible formal systems? Who guarantee that there will be no some new system with quantum-oracle-operator, which will not be affected by incompleteness theorem, and can self-proof self-consistency?

Even well known m-recursive functions (which are essentially Turing machines) are wider class than primitive recursive functions used in the proof..

Did you just say we need a $1.5 trillion dollar fighter to fight goat herders? ISIS doesn't have an air force.

ISIS potentially can have/get manpads, and MANPADS can have big advancements in foreseeable future. Also US can face contested environment in operations similar to Kosovo war, operations in Libya, Iraq, Panama, where local army had more advanced SAMs in possession with needs to suppress them.

We literally have zero need to protect power across the globe. Our presence in the middle east is extremely costly and counterproductive to our security.

This is question of policy, and is a mess for me. I am not going to speculate about this.

And the F-35 is guaranteed to be terrible at close air support. No F-35 pilot is going to slowly loiter their supersonic within visual range of their targets and without doing that they can't see exactly what they are shooting.

The main weapon for ground support planned to be SDB2. Also optics/targeting system is presumably much more advanced on F-35 comparing to A-10.