Bird Flies Between Two Trains Crashing at 60m/s

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The discussion revolves around a thought experiment involving two trains moving towards each other at 60 m/s and a hypothetical bird flying between them at 120 m/s. Participants explore the implications of the bird's infinite number of trips before the trains collide, referencing Zeno's paradox to illustrate the concept of infinite intervals summing to a finite time. They conclude that while the bird could theoretically make infinite trips in an idealized scenario, real-world physics, such as mass and acceleration, would limit the number of trips. Ultimately, the conversation highlights the distinction between mathematical abstraction and physical reality, questioning the existence of infinity in practical terms. The thought experiment serves as a fascinating exploration of motion, time, and the nature of infinity.
  • #31
neutrino' said:
so it isn't conclusive proof that infinity exists? I mean the trains crash but how come the particle (the bird with ~0 mass) make inifintely many stops? THE TRAINS CRASH, RIGHT??

Once we add in assumptions that the particle has no dimensions, nor mass - so that the train don't both contact the particle until the trains are also touching each other - and the particle ca also change from velocity in one direction to velocity in the other direction [ie have infinite acceleration] it is not surprising that the number of trips the particle makes in infinite - but then only the first half of the infinite trips took any real time - the rest of them were done in an infinitely small time interval, perhaps?
 
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  • #32
neutrino' said:
so it isn't conclusive proof that infinity exists?

What does one man by "exist"? Is it a useful tool in mathematics? Absolutely. We just used it in one.

Does it exist in some physical way? This experiment gets us no closer to an answer, since this is so clearly an unphysical thought experiment (zero mass, point-sized birds and such).
 

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