Sunday, November 08, 2009

Ignorance vs. Stupidity

There is a difference in being ignorant and being stupid. You are ignorant and that is why you come to university. You are not stupid because you actually got into university
This is the key difference between ignorance and stupidity: Ignorance is saying "I don't know". Stupidity is saying "I don't care".

Dr. Robert Mann
Physics Lecturer

(words not exact)

author's note: this encouraged me quite a bit.

Wednesday, November 04, 2009

A Bit of Math

CLAIM: If "a divides b" (a|b) and "b divides c" (b|c), then "a divides c" (a|c)

Example:
2 divides 4 (4/2) and 4 divides 8 (8/4) . So, 2 divides 8 (8/2).

You might go "duh" but can you prove it to me that it is true ALWAYS? XD

PROOF
If a|b, there exists an integer q such that b=qa. [Eq 1](from the Division Algorithm)

If b|c, there exists an integer r such that c=br [Eq 2](from the Division Algorithm)
Substituting b from Eq 1 into Eq 2, we obtain

c=rqa

We notice that 'rq' are integers and can be represented as Q (a result of multiplying two integers together is an integer)

Therefore, c=Qa

From the Division Algorithm, a|c. [Proven]

Note: Division Algorithm states that if 'a' and 'b' are integers and 'a' divides 'b', there exists an integer 'q' such that b=qa.

Monday, November 02, 2009

I am a Friend of God? Part 2

Yeah..it is called part 2 because I wrote something about this quite some time back. I have been thinking about the phrase “I am a friend of God” for awhile now. As I recall the Scriptures I read, I can recall very few verses that relate to that theme that applies to us.

Wait, Ian. Isn’t there that verse in John where Jesus tells his disciples
“14You are my friends if you do what I command. 15I no longer call you servants, because a servant does not know his master's business. Instead, I have called you friends, for everything that I learned from my Father I have made known to you.” (John 15:14-15)?

Yes. I don’t deny that the verse does exist. However, look it in context. The disciples were with Jesus for 3 years into his ministry. They ate and drank together. Wherever Jesus went, they went. They witnessed his power. They had the privilege of Jesus explaining meaning of parables to them. Sometimes they vexed Jesus. They rejoiced together. After going through all that, surely they would form a bond beyond servant/disciple and master. They knew Jesus intimately. Therefore, it was appropriate for Jesus to call them his friends.

Though verse 14 could be used as an extrapolation, but simply plucking a verse out like this is not appropriate. In verse 14, Jesus was referring to his disciples, that if they do his commands, which are stated in the previous verses, they are really his friends.

Furthermore, instances in the Bible where individuals were labelled as friends of God, the pronouncement was made by God Himself. Take Moses for example. God himself said that Moses is his friend and with Moses God speaks face to face. Moses did not confer that title on himself. Coupled with the pronouncement of Jesus to his disciples as highlighted above, we can see that only God bestows the privilege of being called a friend of God.

In addition, by calling myself a friend of God, it would seem that I am placing myself on a nearer level to God than I ought. There is that tinge of pride, proud of wanting to be on a nearer level to God. It could be the same pride that Lucifer had when he met his downfall. For Lucifer said
13 You said in your heart,
"I will ascend to heaven;
I will raise my throne
above the stars of God;
I will sit enthroned on the mount of assembly,
on the utmost heights of the sacred mountain.
14 I will ascend above the tops of the clouds;
I will make myself like the Most High." (Isaiah 14:13-14)


However, it is good to note that we can call ourselves friends of God but by a different definition of ‘friend’. Jesus died on the cross for our sins and rose again as proof of his finished work. Those who believe in him are no longer condemned but made peace with God. In this sense, we are no longer God’s enemies. Thus, we become his friend in the sense that we are no longer his enemies.

You all might be think “Blasphemy!” However, let me say that God has conferred a title on us that implies a relationship that far surpasses any level of friendship. He urged us to call Him “Abba, Father”. By believing in Jesus, it is written that we are given the right to become children of God. We are God’s child! How cool is that?? Isn’t that a more intimate, more reassuring relationship? Yet, it still puts us in our place, we are the children and God is the Father. Children are called to obey their parents. Children are helpless but they depend on their parents to fend for them. Isn’t that wonderful?

Remember John 15:14? There is a verse that is very similar to it but implies something else to all believers. This is what Luke 8:19-21 says:
19Now Jesus' mother and brothers came to see him, but they were not able to get near him because of the crowd. 20Someone told him, "Your mother and brothers are standing outside, wanting to see you."
21He replied, "My mother and brothers are those who hear God's word and put it into practice."


Similar, right? Both issue a command to obey. But the latter is a better context for believers at large than the former.

After all I said above, for me, I would be careful of calling myself a 'buddy' friend of God. Look at Moses and his relationship with God. He spent so much time with God. Like i wrote in the previous post before, to call oneself a friend of God is a bold statement since Jesus said that we are friends, IF we do what he commands. Do we do his commands always? compared with the characters in the Bible, at least for me, i don't think i match up. though i will say that i am no longer an enemy of God because of what Christ has done.

Just my two cents of thoughts. Feel free to comment. :P Haven't done this in awhile. :P

Soli Deo Gloria!
Ian

Saturday, October 24, 2009

Quantum to Cosmos Physica Phatastica Exhibition

In Waterloo, the town in Canada I am currently in had an about a week long physics week. There were many talks, presentations, movies and an exhibition. And it is totally free. I went for a couple of events myself. One of those events was a physics exhibition dubbed the "Physica Phantastica Exhibition"


I went for this exhibition twice. On the first round, my camera had no battery so couldn't take pictures. On the second round, I was prepared. :P One of the highlights of the exhibition was a life-sized model of a rover that is going to be sent to Mars in 2011. Below are some pictures I took of it:













Another exhibit was on superconductivity. Basically, a piece of porcelien is cooled to a temperature less than 92 Kelvin which is about -182 degress celcius using liquid nitrogen. The 'supercooled' porceilien is then placed on a track made up of magnets. Due to the supercooling effect which I won't go in detail, it causes the normally non-magnetic porceilien to levitate (literally) over the magnetic field. I managed to get some pics of it. Not that clear but should be ok. :p Notice the gap.










The pic just above this is particularly interesting. By holding a magnet over the porcelien while it is being cooled in the liquid nitrogen causes the porcelien to bond magentically to the magnet and you get that effect. Cool, eh? :P

The following exhibit i was not sure what it was because i didn't really ask. >.< but by observation, the spinning thing looks something like a gyroscope but i could be wrong. Maybe it is used to give people an experience of apparent weightlessness? I not sure...will try and clarify. >.<





Other exhibits include: a booth explaining on polarization of light (same thing we learn in secondary school), a presentation on effects of liquid nitrogen and a stunt using Newton's First Law, an explanation about gravity, space and time, an origami booth, a short 3D movie on the Universe, a booth explaining and demonstrating the Doppler Effect, and a booth which featured a set-up used to detect cosmic rays, that is, radiation.

The explanation about gravity, space and time was particularly interesting. I won't bore with details but the basic thing i got out of it was that the space of the universe is curved and time can be bent. Furthermore, the earth we are standing on is actually accelerating outwards but due to the curve of space, it counters the outward expansion. Therefore, we are still intact. Neat, eh?:p at least to me, that is. >.<

Origami also was a real eye-opener. Apparently origami is used in creating models, especially models where there were parts folding and unfolding (example, the solar panels of satellites). They were used to simulate the actual folding-unfolding so that researchers could observe and make necessary modification.

Overall, it was a great exhibition. Really opened my eyes more in understanding the wonderful Universe that the LORD has created. Indeed, we mere human beings can't fully explain many things. Indeed, all throughout the exhibition, there were confessions saying that there was no complete understanding of it all. But the things we do know are so elegant and beautiful. This really inspires me more down the path I am taking. Praise God!

Soli Deo Gloria.

Ian

Thursday, October 22, 2009

How to Relax After a Maths Midterm

"If you don't understand any of this (stuff relating to prime numbers), and if you want to relax after your midterm today, take it (stuff on prime numbers) to your room of meditation tonight and contemplate the wonders of prime numbers."

MATH 135 Lecture by Prof. Steven Furino

Thursday, October 08, 2009

Of the Greatest Common Divisor and the Universe

"If this (proving a question relating to the Greatest Common Divisor of two numbers) gets over your head and you don't understand it, which many of you will, do not worry. Take it home to your room of meditation tonight and ponder upon the wonders of the definition of the Greatest Common Divisor.
And in the morning, when you wake up and after you have pondered upon the wonders of the Universe, ponder upon the wonders of the definition of the Greatest Common Divisor."

MATH 135 Lecture by Steven Furino.

Monday, October 05, 2009

Daniel 3:16-18

16 Shadrach, Meshach and Abednego replied to the king, "O Nebuchadnezzar, we do not need to defend ourselves before you in this matter. 17 If we are thrown into the blazing furnace, the God we serve is able to save us from it, and he will rescue us from your hand, O king. 18 But even if he does not, we want you to know, O king, that we will not serve your gods or worship the image of gold you have set up."

Daniel 3:16-18

****

Never denying the LORD till the very end. Fully entrusting themselves into the hands of Him who judges justly. If we are saved, we are saved. If we die, we die. They will serve no other God than the LORD. They will bow to no idol, be it made of gold or themselves, for they did not value their lives above the LORD.

Soli Deo Gloria!