If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Metaphysics: The Grandfather Paradox

Agustín Rayo explains the grandfather paradox, one of the classic paradoxes of time travel.

Speaker: Dr. Agustín Rayo, Professor of Philosophy, MIT

.

Want to join the conversation?

  • male robot hal style avatar for user Corey Piper
    Has anyone seen the show Dragon Ball Z where Trunks travels to the past? This is like the multi-verse theory? The actions in the past have no direct effect on the time he came from other than he got stonger and was able to return to the future and save the day
    (5 votes)
    Default Khan Academy avatar avatar for user
  • aqualine ultimate style avatar for user Gyromancer
    This leads into another thing about time travel. So let's say time is like a book. Everything in the book is already written, but you can only read one singular moment at once. So everything that has, is, or will happen, is always happening. With this idea, Bruno has always gone back to kill his grandfather, but missed. So if we ever to discover time travel and go back in time to change something, we would have always gone back in time to change something, which is why that outcome happened. So time travel could be possible, but changing time wouldn't be, as you'd have already gone back in time to change that thing. An illustration of this is Interstellar, which if you've seen, you'll understand what I'm talking about.
    (7 votes)
    Default Khan Academy avatar avatar for user
  • piceratops sapling style avatar for user thecampingtroller
    This video does not make sense, if Marty (from universe #1) goes into the other universe, what about the Marty in the other universe (universe #2)? Also, why would the time machine take Marty to the alternate universe at first, but then later not take him back to the original universe?
    (6 votes)
    Default Khan Academy avatar avatar for user
    • blobby green style avatar for user thingevery
      If one accepts the idea of jumping to a different timeline, then it seems to me that every decision anyone (or maybe only me, in a solipsistic view of the universe) makes causes a new timeline to branch off. The alternate timelines don't exist before you create them.
      This means that your time machine can never take you back to a previous timeline. So going "back in time" just means that you are following a new branch in which things are similar to the way they were at an earlier point in your time tree.
      (1 vote)
  • male robot johnny style avatar for user Larry Stukes
    How do you post a question
    (3 votes)
    Default Khan Academy avatar avatar for user
  • piceratops seed style avatar for user sam
    What if time is not linear?
    (1 vote)
    Default Khan Academy avatar avatar for user
  • blobby green style avatar for user Rafee Saba
    I see no reason to belive that option 1 does not have to be accepted. After all it seems the most appropriate reason. As I see no reason to accept a 'B' theory of time, as all the evidence points to an 'A' theory. Due to brevity lets just ask, why do we not see any time travellers? The only answer would be technically impossible, which then says why is it technically impossible? Maybe because its impossible?
    (2 votes)
    Default Khan Academy avatar avatar for user
    • leaf grey style avatar for user Austin Jäger
      The problems of philosophy dissolve once we learn to ask the question in the right way. You'll notice, that the paradox of time traveling always deals with the personal perspective of time. A person's perception of the present, moving back into the past and so forth. Time is always a relational kind of thing. We see the problem disappear pretty fast once we look at the problem with a different definition of time. If time is instead a dimension, where we can take a fourth-dimensional solid and depending on the angel of a "slice" our analysis presents a given states-of-affairs with a corresponding space-time event, then time-travel is nothing more than space-travel.
      (1 vote)
  • piceratops ultimate style avatar for user sans
    pretty much we can say if bruno whould've succseded in killing his granfathier he whould never existed so he never whould've killed his grandgfathier so he whould've existed cosic a paradox
    (3 votes)
    Default Khan Academy avatar avatar for user
  • duskpin ultimate style avatar for user MAKYAH HOLLISON
    I noticed something about time traveling to the past. If you go back in time but don't do anything, your past self will eventually travel to the same spot you originally traveled to, and since you didn't do anything he first, unless you (Your future self) do something, your past self could go in an endless loop. Although it is multiple you's, your still in a loop. (sorry if this confusing.)
    (2 votes)
    Default Khan Academy avatar avatar for user
  • aqualine ultimate style avatar for user ZBellacero
    (Forenote: For some reason I can't access the comments from the browser I'm using, so I don't know if this is already covered.)

    Doesn't this present a bit of a false dichotomy?

    After all, this presumes that the mechanics of time are such that the only explanations are either that Marty travels back in time and thus cannot effectively change it without introducing a paradox or that he just travels to another dimension. However, if he traveled to another dimension and his present-day parents recognize him, it stands to reason that there's another Marty McFly blissfully unaware of this time-travel nonsense, so where is he?

    I submit that time acts as a force, not unlike a stream or current. Marty moves backwards through the current and introduces the equivalent of a pebble: a change that time merely diverts around and continues until it meets on the other side of the obstruction. It explains why Hill Valley is really the only place that changes, and even then it's only the lives of Biff, George, and Lorraine that are DRAMATICALLY altered. Because the change Marty introduces focuses primarily on them and Doc, whose life is saved from Marty's intervention.

    Everything else endeavors to continue on the preordained path of history as soon as possible. In maybe 200 years, the changes Marty introduces probably leave no noticeable effect on the outcome of events, as everything is compelled to do or become whatever it would have if George McFly remained a weedy, spineless pushover and Biff remained a somewhat rapey bully.

    Looping back to the Penguin's story: perhaps, in the event of a dramatic change, the current rearranges events just so that something genetically equivalent to the Penguin can still exist, alter history, and not be directly linked to the Grandfather he shot. Or perhaps he was misled, and Grandfather was never HIS grandfather in the first place.

    Or... anyone ever see Futurama?
    (2 votes)
    Default Khan Academy avatar avatar for user
  • winston default style avatar for user Benjamin Cornia
    The narrator talks about how he wouldn't be able to kill grandfather because some unknown force would intervene. The narrator admits that he doesn't know what force would stop him, but a more logical thing to do would be to reconsider the original assumptions. If Bruno traveled back in time he would be able to kill his grandfather, because there would be nothing stopping him from doing so. There would not be some anti-paradox force that stops him, because such a thing does not exist, nor is there any reason to believe in its existence. The past has already happened. Travelling back in time does not change the past: it creates a new future. Bruno would still exist, and his grandfather would have been killed at his hand. Bruno would come back to his time, and things would be mostly as they were when he left.
    (2 votes)
    Default Khan Academy avatar avatar for user

Video transcript

I'm boosting Rio I'm a philosophy professor at MIT and today I want to tell you about the grandfather paradox which is a famous paradox of time travel imagine Bruno Bruno has a grudge against his grandfather and rightly so his grandfather was a horrible man amongst many other things he perpetrated this fraud that left millions of people in poverty so there's nothing Bruno would want more than to kill grandfather unfortunately grandfather's already dead grandfather died many years before Bruno was born but that needn't stop Bruno because Bruno has constructed a time machine and intends to travel to the past to kill grandfather when he was still a young man in fact he wants to travel back enough in time that he can kill grandfather before grandfather had any children so picture Bruno he's traveled back in time he's brought a sniper's rifle with him and he's trained himself to use it he's been tracking grandfather's movements it knows exactly where he goes for his morning walk he's found a perfect spot in a nearby building and he has a clear shot grandfather is walking he stops to tie his shoelaces Bruno caresses the trigger and what happens we know that Bruno will not succeed in killing grandfather why well I already told you the grandfather is runo's grandfather and from that it follows that grandfather must have lived long enough to have children but on this story Bruno has traveled to a time before the time when grandfather had children so if Bruno were to succeed grandfather would never have any children which would contradict what I already told you about maybe you think that the story could be interpreted differently maybe you think that we can imagine a situation in which Bruno kills grandfather as a result the fraud never takes place so Bruno travels back to the present and finds that everyone is much happier I claim that that doesn't make any sense but I think it's easy to think otherwise because there are lots of movies that tell stories which are kind of like that one one good example of this is one of my favorite films Back to the Future now I don't know if you've seen Back to the Future but it's very easy to give you a quick summary so according to the film there's this guy Marty McFly who has a father George and nobody respects George but Marty gains access to a time machine which is especially modified DeLorean he gets into the DeLorean reaches a certain speed there's a flash of bright light and that allows him to travel to the past to a time when his father was a young man he interacts with his father he changes his father's character and when Marty comes back to the future he finds his father a changed man he finds that now everybody respects his father and his father is very very happy my colleague Brad scow once taught me a wonderful way of seeing just why this story is inconsistent because look at the beginning of the film were told that at a certain time 1985 George is respected by nobody and at the end of the film were told fed at that very time in 1985 everyone respects George but look it doesn't matter whether we're told one thing at the beginning of the film in a different thing at the end of the film it's still inconsistent one way to see this is to imagine that you're sitting on a the witness takes the stand and at the beginning of her testimony she says that at the crucial time she was by cigarettes of the store and towards the end of her testimony she says that at that very same time she was instead at home watching TV you can tell right there that not everything in the witness's story is true and that's because her story is inconsistent and it doesn't help fit part of the story was told at the beginning of her testimony in the other part was told at the end of her testimony the story is still inconsistent I think the same thing happens with Back to the Future just because we're told one thing at the beginning of the story in a different thing at the end of the story that doesn't mean that the story is consistent there is a different way of interpreting back to the future where it is a consistent story it's just that I'm this different interpretation it's not primarily a time travel story it's really a story about travel between universes and this interpretation what happens is that when Marty McFly boards the DeLorean what happens is not that he goes to the path of his own universe what happens is that he travels to a different universe in this different universe he meets copies of his parents interacts with them and then he goes to the future of that universe and finds the older copies of his parents to be very happy and respected by all notice however that that's not the interpretation that is suggested by the movie yes on that interpretation the movie is a tragedy think of Marty's poor original father stuck in our universe it's not only the case that nobody respects him he was also abandoned by his son Marty in summary I think that insofar as we interpret Back to the Future as an ordinary bonafide time travel story we have to conceive it even though it's a great movie it's logically inconsistent similarly when we interpret the story of Bruno and his grandfather as an ordinary bonafide time travel story we cannot say consistently that grandfather is his grandfather and the Bruno succeeds in killing him at a time before he have children this leaves us with a very tricky question we know that Bruno will not succeed in killing grandfather but what stops him here's some different options for answering this question one thing you could say is what stops him is that time travel is impossible so he could have never been in that position another thing you could say is that the universe contains a special anti paradox force and that if Bruno was about to succeed in killing grandfather somehow this force would come down and intervened I think there is no need to go in for either of these options if you ask me what stops Bruno from killing grandfather I say I don't know because you haven't finished telling the story but probably what stops in' is something quite mundane in some ways of developing the story it'll turn out that Bruno was pointing the rifle but lost his nerve at the very last minute and other ways of spelling out the story he got distracted maybe there was a barking dog in the background and other ways of telling the story he shoots but misses we know that there is some inconsistent time-travel stories but that doesn't mean that every time travel story is inconsistent there are perfectly consistent ways of telling the story Bruno and his grandfather and on some of these there are perfectly mundane reasons for explaining why Bruno failed it could be the time travel is technologically impossible so it could be that it will remain forever beyond our reach but that doesn't mean the time travel itself logically inconsistent in fact I think the concept of time travel is perfectly consistent