Let $H$ and $F$ be hypergraphs. We say {\em contains as a trace} if there exists some set $S \subseteq V(H)$ such that $H|_S:=\{E\cap S: E \in E(H)\}$ subhypergraph isomorphic to $F$. In this paper we give an upper bound on the number of edges in $3$-uniform hypergraph does not contain $K_{2,t}$ trace when $t$ is large. particular, show that
 $$\lim_{t\to \infty}\lim_{n\to \infty} \frac{\m...

Miracles and the problem of evil are two prominent areas of research within philosophy of religion. On occasion these areas converge, with God’s goodness being brought into question by the claim that either there is a lack of miracles, or there are immoral miracles. In this paper I shall highlight a second manner in which miracles and the problem of evil relate. Namely, I shall give reason as t...

For example, all the Fermat primes are evil while all the Mersenne primes > 3 are odious. Using direct calculations up to 10 we noticed that among the primes not exceeding n the evil primes are never in majority except for the cases n = 5 and n = 6. Moreover, in the considered limits the excess of the odious primes is not monotone but increases on the whole with records on primes 2, 13, 41, 67,...

In this paper, I aim at relating passions to evil in Kant’s philosophy. I begin by explaining the difference between affects and passions in the text Anthropology from a Pragmatic Point of View. Kant claims that both affects and passions are illnesses of the mind, because both affect and passion hinder the sovereignty of reason. I show that passions are worse than affects for the purpose of pur...