Incompletion

When we talk about mathematics, we talk about logic, conciseness, completeness and abstraction. So that means, everything in this world, can be described in terms of mathematics? Even religion? Atleast thats a common belief of a lot of atheists that if something cant be proven through logic or lacks empirical evidence, it shouldnt be believed. Have they tried proving mathematics to be correct? Hmmm…so thats where the problem starts because of Gödel’s incompleteness theorems.

In 1931, the Czech-born mathematician Kurt Gödel demonstrated that within any given branch of mathematics, there would always be some propositions that couldn’t be proven either true or false using the rules and axioms of that mathematical branch itself. You might be able to prove every conceivable statement about numbers within a system by going outside the system in order to come up with new rules and axioms, but by doing so you’ll only create a larger system with its own unprovable statements. The implication is that all logical system of any complexity are, by definition, incomplete; each of them contains, at any given time, more true statements than it can possibly prove according to its own defining set of rules. He proved it impossible to establish the internal logical consistency of a very large class of deductive systems – elementary arithmetic, for example – unless one adopts principles of reasoning so complex that their internal consistency is as open to doubt as that of the systems themselves.

The proof of Gödel’s Incompleteness Theorem is very simple, a lil confusing but surely makes it clear that even logic can be illogical. His basic procedure is as follows:

  1. For instance there is a machine, UTM, that is supposed to be a Universal Truth Machine, capable of correctly answering any question at all.
  2. Lets call the program P(UTM) for Program of the Universal Truth Machine.
  3. Gödel writes out the following sentence: “The machine constructed on the basis of the program P(UTM) will never say that this sentence is true.” Call this sentence G. Note that G is equivalent to: “UTM will never say G is true.”
  4. Now the UTM is asked whether G is true or not.
  5. If UTM says G is true, then “UTM will never say G is true” is false. If “UTM will never say G is true” is false, then G is false (remember G = “UTM will never say G is true”, point 3). So if UTM says G is true, then G is in fact false, and UTM has made a false statement. So UTM will never say that G is true, since UTM makes only true statements.
  6. We have established that UTM will never say G is true. So “UTM will never say G is true” is in fact a true statement. So G is true (since G = “UTM will never say G is true”).
  7. So we finally we know something that although G can be true, it cannot be universally true!

G is a specific mathematical problem that we know the answer to, even though UTM does not! So UTM does not, and cannot, embody a best and final theory of mathematics!

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18 Rules between Men and Women

Got this in email today from a friend at work…had to share this!

1. The Female always makes THE RULES.

2. THE RULES are subject to change without notice.

3. No Male can possibly know all THE RULES.

4. If the Female suspects the Male knows all THE RULES, she must immediately change some or all of THE RULES.

5. The Female is never wrong.

6. If it appears the Female is wrong, it is because of a flagrant misunderstanding caused by something the Male did or said wrong.

7. If Rule #6 applies, the Male must apologize immediately for causing the misunderstanding.

8. The Female can change her mind at any given time.

9. The Male must never change his mind without the express, written consent of The Female.

10. The Female has every right to be angry or upset at any time.

11. The Male must remain calm at all times, unless the Female wants him to be angry or upset.

12. The Female must, under no circumstances, let the Male know whether she wants him to be angry or upset.

13. The Male is expected to read the mind of the Female at all times.

14. At all times, what is important is what the Female meant, not what she said.

15. If the Male doesn’t abide by THE RULES, it is because he can’t take the heat, lacks ackbone, and is a wimp.

16. If the Female has PMS, all THE RULES are null and void and the Male must cater to her every whim.

17. Any attempt to document THE RULES could result in bodily harm.

18. If the Male, at any time, believes he is right, he must refer to Rule #5

Superstar?

Love him or hate him; you just cant ignore him. call him corrupt, an avarice, an opportunist or simply a hero, a visionary, a charismatic leader; his marks are visible wherever you may go in Karachi…from the newly built underpasses and overhead bridges to the constant digging of roads, his name is the first thing that comes to your mind. Yes, you have guessed it right. I am talking about the Mayor of Karachi, Mustafa Kamal.
He is the much talked about young leader of MQM who is very rapidly climbing up the stairs of success not only in MQM but also in the country’s political scene. He is seen by many as the future ‘star’ of the political arena and its no wonder that his on going visit to Washington is being put under scrutiny.
He has been getting some “special treatment” in the USA for this visit where he apparantly has gone to motivate the investors to invest in his city. Needless to say, he ended up being vocal on a lot of issues other than Karachi…making this a must read.

For Men to Read and Follow

Got this forwarding today in my inbox….couldnt help sharing it with everyone

1. Dress up for your wife, look clean and smell good. When was the last time us men went shopping for designer pyjamas? Just like the husband wants his wife to look nice for him, she also wants her husband to dress up for her too. Remember that Rasulullah -sal Allahu alayhi wa sallam – would always start with Miswak when returning home and always loved the sweetest smells.

2. Use the cutest names for your wife. Rasul Allah-sal Allahu alayhi wa sallam – had nicknames for his wives, ones that they loved. Call your wife by the most beloved names to her, and avoid using names that hurt their feelings.

3. Don’t treat her like a fly. We never think about a fly in our daily lives until it ‘bugs’ us. Similarly, a wife will do well all day – which brings no attention from the husband until she does something to ‘bug’ him. Don’t treat her like this; recognize all the good that she does and focus on that.

4. If you see wrong from your wife, try being silent and do not comment! This is one of the ways Rasul Allah – sal Allahu alayhi wa sallam – used when he would see something inappropriate from his wives – radi Allahu ‘anhunn. It’s a technique that few Muslim men have mastered. He would gently advise them to correct their ways.

5. Smile at your wife whenever you see her and embrace her often. Smiling is Sadaqah and your wife is not exempt from the Muslim Ummah. Imagine life with her constantly seeing you smiling. Remember also those Ahadith when Rasul Allah – sal Allahu alayhi wa sallam – would kiss his wife before leaving for Salah, even if he was fasting.

6. Thank her for all that she does for you. Then thank her again! Take for example a dinner at your house. She makes the food, cleans the home, and a dozen other tasks to prepare. And sometimes the only acknowledgement she receives is that there needed to be more salt in the soup. Don’t let that be; thank her!

7. Ask her to write down the last ten things you did for her that made her happy. Then go and do them again. It may be hard to recognize what gives your wife pleasure. You don’t have to play a guessing game, ask her and work on repeating those times in your life.

8. Don’t belittle her desires. Comfort her. Sometimes the men may look down upon the requests of their wives. Rasul Allah – sal Allahu alayhi wa sallam set the example for us in an incident when Safiyyah – radi Allahu ‘anha – was crying because, as she said, he had put her on a slow camel. He wiped her tears, comforted her, and brought her the camel.

9. Be humorous and Play games with your wife. Look at how Rasul Allah – sal Allahu alayhi wa sallam – would race his wife Aisha – radi Allahu ‘anha – in the desert. When was the last time we did something like that?

10. Always remember the words of Allah’s Messenger – sal Allahu alayhi wa sallam: ‘The best of you are those who treat their families the best. And I am the best amongst you to my family.’ Try to be the best! Never forget to make Dua to Allah azza wa jall to make your marriage successful. And Allah ta’ala knows best !!.

The Messenger of Allah, Muhammad (sallallahu alaihi wa-allehe wa-sallam) said ‘Pass on knowledge from me even if it is only one verse’.

Wow!

 

Water Bridge in Germany…. What a feat! Six years, 500 million euros, 918 meters long…….now this is engineering!
This is a channel-bridge over the River Elbe and joins the former East and West Germany , as part of the unification project. It is located in the city of Magdeburg, near Berlin. The photo was taken on the day of inauguration. To those who appreciate engineering projects, here’s a puzzle for you armchair engineers and physicists.
Did that bridge have to be designed to withstand the additional weight of ship and barge traffic, or just the weight of the water?

 

 

 

Scroll down to check if your answer is correct?

 

 

 

 

Answer:
It only needs to be designed to withstand the weight of the water!
Why? A ship always displaces an amount of water that weighs the same as the ship, regardless of how heavily a ship may be loaded. Remember your high school physics, and the fly in an enclosed bottle project??? Similarly, the super sensitive scale proved that it didn’t make any difference whether the fly was sitting on the bottom, walking up the side, or flying around. The bottle, air, and fly were a single unit of mass and always weighed the same.