Raggie Jessy Rithaudeen
Supposing I held a gun 50 metres away from you. I then pull the trigger, and the bullet rushes towards you. Because the distance is small, I’ll go ahead and assume that the bullet maintains a barrel velocity of 500 m/s, travels in a straight line and experiences no gravity, no air friction. You’d probably be injured in 0.1 seconds, or one tenth of a second.
It’s called mathematics.
I made the assumption that the bullet does reach you, penetrates you and instantaneously injures you. But does the bullet actually reach you? Let’s check…
Let’s calculate the time it takes the bullet to reach half the distance between you and the tip of the barrel of the gun. To get there, it would take the bullet exactly 0.05 seconds, or half the time it would take to injure you.
Let’s call the half-distance point the mid-point. Let’s now proceed to calculate the time it would take for the bullet to get halfway between you and the mid-point. Mathematics tells me it would take exactly 0.025 seconds. And when it does get there, the bullet would have travelled for 0.075 seconds, meaning, you have exactly 0.025 seconds left before the bullet hits you.
See where I’m going with this?
Let’s go ahead and call the point between you and the mid-point, the quarter point. Let’s now calculate the time it would take for the bullet to get halfway between you and the quarter-point. Punch punch punch punch…and the calculator says it would take exactly 0.0125 seconds. The bullet has now ‘travelled’ for 0.05 + 0.025 + 0.0125 = 0.0875 seconds, meaning, you have exactly 0.0125 seconds left before the bullet hits you.
This goes on and on each time you halve the distance between you and the last position of the bullet. Mathematically, there will always be two halves between you and the bullet, and the time taken for the bullet to travel from its last position to you will always get halved. Continue with this calculation until you’re 90 years of age, or until it dawns upon you – whichever comes first, of course – that you can never prove that the bullet will reach you!
Interesting, is it not?
Read on…
At this point, some will say, “Hey, Raggie baggie, come on lah… all you have to do is take 50 and divide it by 500 to know how long it takes for the bullet to reach you.”
True. But is that not what I did right at the beginning?
I took 50, divided it by 500, and told that you’d probably be injured in 0.1 seconds, or a tenth of a second. Notice I used the word “probably,” and notice that I “assumed” the bullet would reach you. But when I calculated the exact same problem in a tedious way – which isn’t to say that I’m wrong, or that it is a wrong way to approach the problem – I could not prove that the bullet would reach you.
I can, of course, introduce zero as a limit for the distance between me and the bullet, with the express understanding that the distance is always approaching zero. But that’s just my understanding and has nothing to do with Mathematics. Mathematics prevents me from saying that the distance between me and the bullet will reach zero. I may be able to say it in logical terms, but I can never prove it.
See the problem?
When you break a simple problem up into smaller parts, you tend to find limitations. When I took 50 and divided it by 500, I could easily tell you how long it would take for the bullet to reach you. But I already assumed that the bullet would reach you. When I avoided doing that and instead, calculated the time it would take for the bullet to reach a series of mid-points, I found that I could not prove anything. I found that the sum of all the time intervals I calculated could never equal 0.1.
See the problem now?
You lived your entire life calculating stuff without knowing that you made assumptions. The books stop short of calling it a flaw, and instead, introduce concepts such as “infinitesimal points” or “limits” to work around the flaw. All it takes is for a well-nurtured mathematician with a high-enough IQ to come out and say, “hey guys, guess what, the world of mathematics has a serious flaw which the professors don’t seem to know about.”
And if you dig deeper – which I will, in parts – you’ll begin to see why one plus one isn’t necessarily two. In mathematics, whenever you calculate something, you’re already making tons and tons of assumptions. But unless you have the right thinking-cap on and are confident enough to go against the flow, you will either fail to realise that you made these assumptions or continue to make them and be afraid to talk about them.
You will, because you have been indoctrinated to ‘think’ mainstream. But that’s only because the average human being possesses a herd mentality. Thanks to this mentality, the media is able to manipulate you. As long as you cling on to this mentality, the slimy, stinky politician whose sole purpose is to make a fast buck while clinging on to power will always have a magic bullet that he will use to knock you stupid…
To be continued…
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