The links between philosophy, scientific freedom and democracy

 The links between philosophy, scientific freedom and democracy

The links between philosophy, scientific freedom and democracy.

Healthy democracies need critical minds. By extension, healthy human communities also need critical minds, that is, they need everyone's point of view and what will then be their goal to be a synthesis of views. And let us bear in mind that in any synthesis the components may not necessarily have equal weights. It is on the basis of this principle that the Socratic Principle (Socrates 470-399 BC, was one of the most important ancient Greek philosophers with a timeless global impact) on the weight of the opinion of the experts is introduced. 

If this is the case, let us consider in how many small or larger human communities (e.g., organized political or social groups at the local or supra-local level, etc.) that we know of, around us, there is acceptance and appreciation of critical minds. In other words, how many of the human communities we know are governed by freedom and democracy? 

Generating prime numbers

 Generating prime numbers

 
It is known that over the centuries, some people have been involved in discovering algorithms for generating prime numbers. One would not say that it is a difficult thing, as long as you evaluate such an algorithm mainly in terms of its usefulness.
 
An algorithm must be evaluated in terms of its application goals and also over time in terms of the applications for which it has proven itself suitable. Thus, the complexity of an algorithm cannot be a criterion for its evaluation.
 
For example, with regard to the generation of prime numbers, one could, first and foremost and rightly, refer to the Sieve of Eratosthenes or the model: y = 6 * x ± 1 where x = 1, 2, 3, 4, 5, 6, 7, ... and possibly some other algorithms.
 
But let's look at a new proposal of mine for a prime number generation algorithm, which is obviously easy to program, but also seems to have potential in practical applications of quantum mechanics and quantum computing, where, as we know, what we actually perceive (via classical physics) that is, with bits being counted as "0" or "1," and only one of the four possible states can exist at any time in space, in a quantum superposition state, all four of the possible states can co-exist in time and space simultaneously.
 
So, there is an algorithm that can generate prime numbers, essentially as the integer part of decimals resulting from an iterative inversion process, starting with the irrational decimal 0.43233208718590286890... and then all the products of this inversion process. See in the picture what I mean...