We’ve all heard the story about the rabbits that multiply by mitosis. So from one rabbit, you get two, then two from each, which is 4, and by the 30th generation, around one billion baby rabbits will run around eating carrots and doing other rabbity things.
So, that’s the numbah 2 multiplied by itself 30 times. It’s a low exponential growth since takes one unit and gives you two, the lowest possible next whole number. A bacteria that splits 3 ways at once would see its number trippled every time. By the 30th generation, the bacteria will outnumber the rabbits 200,000 to 1. It’s ok though, because the rabbits are made out of many trillions of cells each so the bacteria won’t mess with them.
Finally, we’re all familiar with powers of 10 since we have ten fingers, it’s convenient to see an extra 0 and know it’s 10 times more something :). Even so, we can’t really conceive of a Googol (1 followed by 100 zeros) rabbits even though it’s only 44 generations of good old slow mitosis-reproducing rabbits (the carrot plants are also thriving).
Exponential (and their inverse logarithmic cousin) curves keeps showing up anywhere you look:
-You’ll see if you study biology, physics, chemistry, math, music, ad. infinitum.
-We think in exponential ways about countless things. We grow exponentially from one cell and our lives depend on cell division every second.
The thing is, to have exponential growth, there must be a seed to start. Something other than 0 (void) and and with a rabbit production rate of at least 2 per seed rabbit. (Can’t have bloody rabbits halves out there making ladies faint!). Anyways, the curve keeps on climbing and cannot stop climbing or it gets kicked out of the the expoKurv club.
Is exponential growth, such a major foundation of our reality, just BS deep down? How can an exponential curve describe anything real if it cannot have a beginning for a seed and it cannot have an end since it grows all the time?
Let me clarify: The exponential curve seems to model the concept of “creating something from nothing”. Is believing in it the same as believing in God? MOVE OVER God’s particle and divine proportions! You just got served! 
note: I hope some of you will forgive me for making you cringe with ridiculous examples, bad metaphors and poor word choices. Corrections are welcome! I just ask that you try to keep it accessible for casual readers.
