This paper deals with a ratio-dependent functional response predator-prey model with a fractional order derivative. The ratio-dependent models are very interesting, since they expose neither the paradox of enrichment nor the biological control paradox. We study the local stability of equilibria of the original system and its discretized counterpart. We show that the discretized system, which is...

In 1922, Thoralf Skolem published a paper entitled “Some Remarks on Axiomatized Set Theory.” The paper presents a new proof of a model-theoretic result originally due to Leopold Löwenheim and then discusses some philosophical implications of this result. In the course of this latter discussion, the paper introduces a model-theoretic puzzle that has come to be known as “Skolem’s Paradox.” Over t...

secret is one of the key notions in studying the content of ibn 'arabi's mysticism. secret is a divine bounty which conferred upon the creatures by god and indicates a path stretching byond the reason. as an extension of secret god can be experienced by the mystic. of course undestanding god is a matter of faith and intuition and does not fit the medium of reason. the limits of langua...

What if the paradoxical nature of quantum theory could find its source in some undecidability analog to that G\"odel's incompleteness theorem ? This essay aims at arguing for such G\"odelian hunch via two case studies. Firstly, using a narrative based on Newcomb problem, theological motivational origin contextuality is introduced order show how this result might be related Liar-like undecidabil...

Ordinary computing machines prohibit self-reference because it leads to logical inconsistencies and undecidability. In contrast, the human mind can understand self-referential statements without necessitating physically impossible brain states. Why make sense of self-reference? Here, we address this question by defining Strange Loop Model, which features causal feedback between two modules, cir...

objective: this study assessed the effect of paradox in family therapy.paradox, as a therapeutic tool, has been developed by a number of therapists,especially mara selvini palazzoli. metho d: this study benefited from the milan systems approach to family. two clients (both females) were selected for this study. these two girls were the symptomatic members of their families. the families partici...

Nowadays, chaos theory and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence, 2. rough dependence on initial data, 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of plankton.

Nowadays, chaos theory, turbulence and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence (chaos and turbulence engineering), 2. rough dependence on initial data – short term unpredictability (turbulence physics), 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of p...