When we talk about fate, our first thought is of some type of God or other superior power. The opposite of this is then to not have someone controlling it, to be able to make your own decisions and affect the outcome of things. I don't think these are the only two choices though. When I think of fate, I think it just means that everything will happen a certain way because of the way each molecule is positioned. I believe in this type of fate, not the type where someone else is controlling my actions. After all, who would control their actions then? Do they have a fate too? If not, why them? I think the scientific explanations with evidence make much more sense.
The French mathematician who publicized this idea, Laplace, used an hypothetical situation known as Laplace's demon, where a demon can process every atom in the universe and predict the future. An interesting twist on this that I thought about is if he can read every atom, and understand what all of his movements would cause, could he change the outcome of the future? If someone really could affect their destiny, it seems like this demon would be the one to do it. Yet even if he does seem to have the ability to affect the future and maybe decides to make himself rich, his decision to make himself rich was preset by all of the atoms in him. If we could go back to the big bang, and turn everything back into a few original atoms, and then run simulations from these, we would see a long string of events that leads exactly to where we are; no individual choices were made.
This is the opposite of the ideas seen in Oedipus. In Oedipus, the gods are able to control Oedipus's fate. No matter what he does to try to escape it, the gods can still ensure his fate happens how they want. Theoretically, if the gods knew ahead of time (through something like Laplace's demon) that Oedipus was going to kill his dad and sleep with his mom, it could be possible. Their telling Oedipus (through prophets) that it was his destiny to do so could have been part of what the Laplace's demon predicted and accounted for, so he would have known Oedipus would return to his birthplace. Although this is a viable possibility, the poem acts like the gods actually controlled the outcome instead of predicting it, so I still don't think the plot is completely viable.
These topics remind of three movies I've seen before: Final Destination, Run Lola Run, and The Butterfly Effect. Final Destination takes the stance of an invisible guiding hand. In it, fate is something that ensures everyone who is supposed to die does die, in the order they should. In Run Lola Run, the main character is able to control her own fate, by going through every possibility and changing her decisions to affect her fate until she reaches an ideal state. The Butterfly Effect has a similar idea where the main character can control his life by going back in time, but he has much less control. The time travel is simply used as a device to show how little he really can control. No matter how many times he goes back, he just continues to mess things up even more. He does not end up in an ideal state, but does settle on one where everyone is okay at least (sad ending still though). The Butterfly Effect and Run Lola Run mirrors my beliefs best because it shows how everything is just a long chain of events that cause each other.