scientific community is deeply committed

Andrew Wiles had a proof of Fermat's Last Theorem that had a hole, but then he corrected the hole and got a legitimate proof. This would mean, according to Popper's "falsifiability" theory, that mathematics is a pseudo-science.

The scientific community is deeply committed to a view of its own destiny which is well articulated by theoretical physicists. Historically, science is a series of commitments to mathematical apparatuses which, once they are established, are endlessly elaborated, but never discarded. One builds on Newton, Maxwell, etc., by recycling them; one never repudiates them.

In pure mathematics, the equivalent to this stance is that nobody wants to change the decision for the infinity of primes or the irrationality of [root]2 which was made at the outset of rational mathematics. These tenets are held to be valid by the latest, "Left-wing" standards--and to be the source and guiding light for all that followed them in mathematical history. The profession does not want the Greeks--who adopted the elementary theorems on the basis of elementary proofs--to have taken any other course.

>>31

And who decides "logical validity"? Because mathematics is a social construction, it is driven a social consensus.

Mathematics is made by man. Logic is made by man. Who cares? The framework they provide allows constructions that model phenomenon as well as anything else. When something better comes along, we'll use it. No one decides logical validity or anything else, they're attached to the systems in which they were built. If anything is a "social construction", it's the basic principles from which we derive these systems. But really, what does it matter? If you have a systematic way of thinking that's better, present it. I don't understand what you're hoping to arrive at through all of this.

I cant claim, that found proof of Infinity's existence in a Calculus book, ether. Just as cant claim that after reading Bible or Quran.

I was making a joke.

These meanderings through amateur Philosophy of Science topics are starting to bore me.