Related papers: Was There a Beginning?

A short proof to a recent theorem of Giambruno and Mishchenko is given in this note.

In this introductory note, I describe my particular view of the notion of ontological commitments as honest and pragmatic working hypotheses that assume the existence (out there) of certain entities represented by the symbols in our theory.…

I respond to the Bernard et al. comment on my letter ``Chiral anomalies and rooted staggered fermions.''

In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.

A reply on the comment of Bertin, Chate, Ginelli, Gregoire, Leonard and Peshkov, arxiv:1404.3950v1, in this special issue.

Can we infer whether all of physical reality began to exist? Several novel results are offered suggesting a negative verdict. First, a common strategy for defending a cosmic beginning involves showing that individual beginningless…

Response to Comment by A. Bussmann-Holder (arXiv:0909.3603)

The "Millennium Prize Problems" have a place in the history of mathematics. Here we tell some little-known anecdotes from the perspective of the planner of that project. These stories are far from their end; more likely they are just at…

This is a comment on two recent arXiv postings.

Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.

This note is the written version of conversations with young colleagues on unofficial history, general ideas, unexpected facts and open problems concerning tilting theory.

I expound here in a more detailed way a proof of an important Serini's theorem, which I have already sketched in a previous Note. Two related questions are briefly discussed.

We answer a question of Zadrozny.

The note complements topological aspects of the theory of chiral algebras.

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

Did time begin at a Big Bang? Will the present expansion of the universe last for a finite or infinite time? These questions sound philosophical but are becoming, now in the twenty-first century, central to the scientific study of…

The intensity of debate between the realists and antirealists shows no sign of abating. Here a new hypothesis is proposed to resolve the issue. The requirement of consistency and continuity are built-in in the methodology of this…

In our comment we show that some of the very difficult problems have been successfully solved. We have to focus on the resolved problems, since the authors claims: Our hope, however, is that the topics we have presented will provide…

In this note we rectify the proof of Theorem 3.11 in [arXiv:2403.02876]. We also present a set of examples at the end discussing various cases.

In this note, we establish the validity of a conjecture recently proposed in Mathematics Magazine and connect it to the existing interesting results