PETER PAUL FEKETE

The picture to the left is not a self-portrait - it is a portrait of a model called Geza.

I am an artist and philosopher.

I took down my website and moved most of my philosophical material to another place, but I am informed that there mentions of my name in recent academic articles, and as there appears to be some interest in what I formerly wrote, I have decided for the time being to reinstate my former website:

PETER FEKETE - AN ESSAY ON PHILOSOPHY, ART, LOVE AND MATHEMATICS.

I cannot guarantee that all the links are still working.  Regardless, if you are interested, whoever you are, please feel free to get in touch. (CONTACT FORM BELOW.)  Firstly, my academic publications are very few. 

1. I collaborated in an essay on the so-called Yablo's paradox with a friend, Ferenc Andras.  This may be downloaded from academica.edu. 

2. I am cited by Koen Leverer in his PhD dissertation, Using Logical Interpretation and Definitional Equivalence to compare Classical Kinematics and Special Relativity Theory.

3. Dr. Gabor Etesi of the Budapest Technical University told me he cited me in a paper written in Hungarian on the problem of the continuum.  However, I have not seen this paper.

The first two citations reflect my willingness to help my friends in their work, even in first-order logic, in which I claim expertise, although have no personal research interest in it.  The third paper, if correct, would come very close to my primary concerns, among which is the investigation of mathematical inferences that demonstrate the transcendence of the human mind over any mechanism.  I claim to have solved the continuum problem and to be able to demonstrate in second-order logic and natural language the validity of the continuum hypothesis, subject to certain conditions.  That paper is not an easy read (by all accounts) but the central point is that analysis (the mathematics of the continuum) requires not one but two primitives - points and extensions - and hence that set theory is not a possible candidate for a complete language of the continuum.

I have many research interests and the published and cited works under my own name are only a fragment of all that I have studied and written upon.  If you want to know more, then contact me.

I am not accepting anonymous comments.  If you wish to contact me, send me your name and email address, and I'll get back to you.