We examine the Dual Ramsey Theorem and two related combinatorial principles VW(k, l) and OVW(k, l) from the perspectives of reverse mathematics and effective mathematics. We give a...
We examine the conditions under which we can keep simplicity or categoricity after adding a Skolem function to the theory. AMS classification: 03C45 , 03C50
Abstract. Product logic is an important t-norm based fuzzy logic with conjunction interpreted as multiplication on the real unit interval [0, 1], while Cancellative hoop logic CHL ...
We show that there exists a single minimal (Turing) degree b < 0 s.t. for all c.e. degrees 0 < a < 0 , 0 = a b. Since b is minimal this means that b complements all c.e....
We point out a connection between reflection principles and generic large cardinals. One principle of pure reflection is introduced that is as strong as generic supercompactness of...
We introduce a deductive system Bal which models the logic of balance of opposing forces or of balance between conflicting evidence or influences. "Truth values" are int...