Both sides have cited numerous "facts", both sides have tried to scare the bejasus out of us and the vast majority of us are both confused and sick of the whole thing. However, there seem to be two "facts" that actually stack up.
1. Remaining as members will give us some continued influence within Europe
2. Exiting Europe will give us complete control over our own affairs
I would say even your number 2 fact is not correct. It's impossible in today's interconnected world to have complete control over one's own affairs. Even outside the EU, we would still be legally restricted by all sorts of international treaties that we have signed up to or will sign up to (NATO, climate change, all sorts of trade agreements, agreements on tax havens, on extraditing criminals, etc. etc.). And in practice, even without all those treaties we would also be heavily restricted by the realities of living in a World in which so many things take place on an international level. There are many things that we might notionally be free to do, but where in practice we would not really be free to act because doing those things would just cause businesses to move away from the UK, or prevent trade with the EU, etc. etc. This idea of taking back control that the Leave side keep peddling is to a large extent an illusion.
Anything else seems to me to be pure conjecture, based on opinion, vested interest and guesswork - on both sides.
That's not quite true. A lot of the other predictions - especially on the economy - are based on forecasting and modelling by people who are experts in that field, and are likely to be applying fairly rigorous methods. (But of course, the a problem can emerge when those impartial results get filtered through the mouths of politicians and campaigners who do have vested interests).
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Are you really expecting me to believe that the "millions of Britons" you make reference to will actually cast their "measly insignificant" single votes (to borrow your phrase) just because a newspaper tells them the way their vote should be cast? Have these voters no mind capacity of their own that will enable them to use their own judgements in matter such as this
It's more than that. If you own a newspaper, you can control what news that newspaper reports of an extended period of time. Over some years, you can have that newspaper selectively report facts or news, or even have it deliberately distort or mislead over certain events, in such a way as to reinforce your own opinions, with the result that many of your readers come to agree with you, when in all likelihood they would not have done so if they had been given a more impartial/accurate version of the news. In the case of the EU, this does seem to be what has happened: I would suggest that a number of newspapers have basically had it in for the EU for decades, and during that time have repeatedly pushed out myths and distortions that are not accurate, and are designed to discredit the EU in readers' eyes. That has a far greater impact on election and referendum results than casting one's own vote.