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Yes. All it takes is a comparison of two infinities.
Is this the first time you've heard of TV and MS paradoxes?
Check it out. There are many good examples:
SECEI G / PARADOXES IN PROBABILITY THEORY AND MATHEMATICAL STATISTICS
A typical logical fallacy. From the series: if you can't prove that black is red, then black is blue, because it's not red. You cannot make the claim that the market is predictable on the basis that we cannot prove or disprove the opposite claim. We need to prove or disprove at least one market condition reliably in order to draw conclusions about a second market condition.
When I started thinking about: "How to make the impossible possible" :) I drew a conclusion: anything that doesn't contradict mathematical logic can be done. From this I conclude: Until it is proven that the market is unpredictable it is predictable, regardless of whether we can or cannot do it.
And it is possible not to predict anything at all, but simply to trade and make a profit. It is possible to create a profitable model without predicting the future state of the market and without analysing the previous state.
Yes, that's right. It makes absolutely no difference what the market has done in the past. And since we generally don't know the future either - it makes absolutely no difference what it will do in the future.
So that's it --"independent thinking"... brain liquefaction... victim of the EGE...