infinite The use of infinite n n In

infinite

The use of infinite n n In maths we call everything that has neither bounds nor limits infinite. Infinity is not a real number but the extended real number line. Infinity (+oo) is greater than all other extended real numbers. Minus infinity (-oo) is less than all other extended real numbers.

Zeno’s paradox n n n 1/2+1/4+1/8+…………… At the end, everyone thought that this sum couldn’t make a whole unit. Today it is proven that this sum does result in 1. So the first paradox of Zeno was shoot down.

Horror Infinite n n n 6+3=3+6 3+4+5=(3+4)+5=7+5=12 and 3+4+5=3+(4+5)=3+9=12

Horror Infinite n S=1 -1+1 -1+1. . . n i)S=(1 -1)+(1 -1). . . . =0+0+0=0 n ii)S=1 -(1 -1+1 -1+1 -1. . . ). n n n But the number inside the parenthesis is S itself Thus: S=1 -S and 2 S=1 and S=1/2 iii)S=1 -(1 -1)-(1 -1). . . =1 -0 -0 -0. . . . =1

Horror Infinite n The one and only reason we ended in a dead end is that we treated an infinite sum as a normal sum, thus treating infinite like a normal number.

Set theory n aleph-null

Sum up n n In general, infinite is something we can never reach. We can only gaze at it and work with it. We have reached a point in which we have made rules of how we can use it, so worrying about the popping of new paradoxes shouldn’t torment our mind.