I'd really appreciate it if someone could help me with the point below! It relates to a real philosophical problem but I'm baffled by the maths.(adsbygoogle = window.adsbygoogle || []).push({});

Assuming no other variables apply, if there is infinite space in which a substance *could* exist, let's call it x, and there are not limits to how big or small x is, or whether there is more than one, but there are infinite possibilities of what else could be in the space the x would take up instead of x, including nothing, what are the odds of x existing within the infinite space? By this I don't mean a specific space, I mean what are the odds that there will be x *somewhere* within the infinite space.

(By substance, I really mean thing that exists, not substance made up of atoms and molecules, so without getting into the debate of whether or not colours are substances, it might be helpful to think of x as a tiny spot of red, imagining that spots of red of any given size *could* exist in the space but there are infinite other things that could also exist, and the spaces could also be empty.)

I've tried to work it out different ways and I've come up with infinity to 1 against it being there, infinity to 1 in favour of it being there, it's both simaltaneously infinitely likely and infinitely unlikely, and various other answers... so I'm definitely doing something wrong!

Ask me to clarify if this reads like mush! Vastly appreciate any help!

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# Infinity and probability

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