A Are these results possibly the outcome of a probabilistic calculation?

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The discussion centers on evaluating the validity of a forecast from hazcard.com based on a univariate time series with no probabilistic calculations or learning involved. Participants question whether the results can be deemed possible, impossible, or potentially manipulated, given the limited data set of only 10 values. Concerns are raised about the reliability of such forecasts, especially in the context of volatile assets like bitcoin. The consensus leans towards skepticism regarding the credibility of the results. Overall, the discussion highlights the importance of statistical rigor in forecasting methods.
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An experiment about hazard and randomness applied to the fluctuation of the price of Bitcoin, without any use of math, A.I. and using very few data, gives very good results, Is it possible ? Give your annlyse.
Hello, I am seeking the opinion of specialists in statistics and probabilities to evaluate the results of a forecast on a univariate time series derived from an experiment at hazcard.com. They are presented as obtained from a logic that includes no probability calculation, no learning, no use of strategies, and only utilizes a limited history of 10 values as a working basis.

Can these results be considered possible, impossible, manipulated...

Thank you for your assistance.
 
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I wouldn't believe them. Given the obvious ups and downs of the value of bitcoin, they would have a lot to prove.
 

Thread 'Formal derivation of statement from Peano Arithmetic system'

I was reading a Bachelor thesis on Peano Arithmetic (PA). PA has the following axioms (not including the induction schema): $$\begin{align} & (A1) ~~~~ \forall x \neg (x + 1 = 0) \nonumber \\ & (A2) ~~~~ \forall xy (x + 1 =y + 1 \to x = y) \nonumber \\ & (A3) ~~~~ \forall x (x + 0 = x) \nonumber \\ & (A4) ~~~~ \forall xy (x + (y +1) = (x + y ) + 1) \nonumber \\ & (A5) ~~~~ \forall x (x \cdot 0 = 0) \nonumber \\ & (A6) ~~~~ \forall xy (x \cdot (y + 1) = (x \cdot y) + x) \nonumber...
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