Last night I was watching a video on youtube about the existence of 11 dimensions, and it made me think about another way of showing how free will is contradictory.
Imagine that every time you make a choice by free will, you could enter one of 2 timelines. In one timeline you chose the fish sandwich, and in the other one you chose the chicken sandwich (just examples, using only 2 options for the sake of simplification). If you were to ask a determinist which timeline you would end up in, he/she would say either that which one that the person goes into is predetermined, or that which one you go into relies on random chance.
However, if you were to ask an indeterminist which timeline you would end up in, they would say that it depends on what the person decides to go in; that person's free will it was makes the decision. Let's say that the person chooses the fish sandwich, then you ask the indeterminist "could the person have chosen the chicken sandwich?" If they answer no (which an indeterminist wouldn't), then that simply means that only one timeline could have possibly been entered, and free will had nothing to do with it.
If they answer yes, then the followup question needs to be asked "If both sandwiches could have potentially been picked, then what made this person pick that sandwich?" The only thing which could make the difference (other than random chance, which is what a determinist might believe) is free will. Which begs the question, "what is it that can make free will pick one thing, and not the other." The only thing which can really influence free will, is that individual's thoughts. However, if the same thoughts are always "entering free will", then "free will" should always be producing the same results (or different results due to random chance), which means that it is not free at all.
So that's why the idea of free will is contradictory. The very act of "deviating from a certain timeline" by your own will must imply that the "input" of thoughts leading up to that decision must have been different. However, the difference of those thoughts can only be a result of random chance or free will, and again if it's an act of free will, that must mean that the thoughts leading up to that act of free will must have been different.
Sorry, this post sounds horrendously patronizing, which it isn't meant to be. It's the best way I can explain it (this is what I've been trying to form into words for 10 or so years, so I'm kinda in a good mood).