It is proven Mathematics ends in contradiction an integer=a non-integer. Now science generally uses mathematics with mathematics ending in contradiction we have the consequence for science/mathematics that you can prove anything you want

that formal logic proves

All things are possible
Hi M,

I most appreciate this part of the linked paper:

"Thus We can now just treat all views/ philosophies esthetically that is for their logical and argumentative beauty rather than for any fortuitous scientific or truth value just like one treats poetry painting music for their esthetic beauty"

I have been playing around with that idea, as well.

I'm also interested in the notion of verisimilitude:

"Thus once we admit an inconsistency into our theory we have to admit everything. And no theory of verisimilitude would be acceptable that did not give the lowest degree of verisimilitude to a theory which contained each sentence of the theory's language and its negation."

If I'm reading this right, you're talking about the theory of explosion ("once we have to admit an inconsistency into our theory we have to admit everything"). I don't think I have any right understanding of verisimilitude, but for me, the concept of verisimilitude is related to how the stories (knowledge) generated by scientific method, etc, can be practically used to keep developing more and more sophisticated tools (technology).

I'm also interested in this quote from Newton-Smith:

"A theory ought to be internally consistent. The grounds for including this factor are a priori. For given a realist construal of theories, our concern is with verisimilitude, and if a theory is inconsistent it will contain every sentence of the language." I am scanning through the Newton-Smith book, nice that there's a free full-text avaible online.

Thanks again M. I wonder if you have any thoughts on paraconsistent logic as Graham Priest and others are developing it? Priest sees it as a challenge to the dominance of Aristotelian logic. I talk about it in a post here:

http://www.skeptiko-forum.com/threa...ts-potential-for-usefulness.4212/#post-126008