[FOM] Some questions regarding irrational numbers

Daniel Méhkeri dmehkeri at yahoo.ca
Mon Mar 2 12:58:24 EST 2009

> By the way, perhaps a suitable definition of 
> "artificial example" here would be something like this.  
> For an example to avoid the charge of artificiality, the 
> standard way of stating the conjecture has to have the 
> form "x is an integer" or "x = 17" or something like that.  

Ideally, but is it really necessary? For instance if instead I had been able to say (totally making this up): "tanh^-1(gamma(sinh(42))) = 42 if and only if the Goldbach conjecture is true" - then although the Goldbach conjecture isn't usually stated that way at all, it really looks like a simple and natural computable number doesn't it?


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