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After some quick google searching, I can't find any evidence supporting #1. (So in the mean time while we figure this out, you should probably still wear helmets while cycling, folks).

http://bigthink.com/neurobonkers/the-bike-helmet-paradox

This article makes an important point: studies prove people in accidents have significantly reduced head damage. However, not many studies prove that it makes bicycling safer: instead, cyclers are perceived safer, and therefore it is unsafer.

Browse through the images in the search results for "helmet" in /r/bicycling and you will change your mind.

https://www.reddit.com/r/bicycling/search?q=helmet&restrict_...

Any chance your statistics come from the Netherlands?

proof for #1?

http://bigthink.com/neurobonkers/the-bike-helmet-paradox

that entire article is spent debunking your claim.