All paths in R^2 are homotopic.

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All paths in R^2 are homotopic.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Proof by music video: https://www.youtube.com/watch?v=GF0cFOeyAJY
:)
well, the fact the fundamental group of \(\mathbb{R}^2\) is trivial is evidence of this -- there are no singularities to get in the way

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Other answers:

Q.E.D.
boring real numbers as usual
true dat
there are some fun topologies you can get if you take away stuff.
lolol
https://www.youtube.com/watch?v=BipvGD-LCjU
:P
https://www.youtube.com/watch?v=SyD4p8_y8Kw
I hate to say it, but I never thought I'd be agreeing with Hitler

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