In der vorliegenden Arbeit soll eine Lösung der zenonischen Paradoxie des ruhenden Pfeils vorgestellt werden, die auf möglichen Implikationen des Kontiguumbegriffs beruht, wie ihn Leibniz in mehreren Arbeiten zu den Grundlagen der Dynamik entwickelt hat. Wesentlich sind dabei wechselseitige thematische Bezüge seiner Theoria Motus Abstracti und seines Dialogs Pacidius Philalethi. Aus der von Leibniz durchgeführten Analyse des Kontiguums als einer Voraussetzung der Möglichkeit von Bewegung ergibt sich, daß das (scheinbar zwischen Kontinuum und Diskretheit angesiedelte) Kontiguum - in heutiger Terminologie - (...) nicht durch solche Merkmale wie Mächtigkeit oder Dichte bestimmt werden kann, sondern vielmehr eine besondere (topologische) Zusammenhangsstruktur aufweisen muß. In der Arbeit wird gezeigt, daß die dynamisch begründeten Anforderungen an eine solche Zusammenhangsstruktur von geeigneten topologischen Modellen einer Kette erfüllt werden. (shrink)

"This 'paper' is meant to be an introduction to three other papers of mine, namely: 'The "Emergence" of Existence' (cf. http://www.academia.edu/4310644/The_Emergence_of_Existence_-_from_Pregeometry_to_Prephysics), 'Names and Objects' (cf. http://www.academia.edu/4310705/Names_and_Objects_-_Outlines_of_an_Essentialist_Nominalism), and 'Information Monism' (cf. http://www.academia.edu/4310969/Information_Monism_-_and_its_Concepts_of_Substance_Attributes_and_Em ergent_Modes). In this introduction also some light shall be shed on the mutual dependence and interrelatedness of these mentioned papers. It also includes a hefty attack on Russell's 'On Denotation' with respect to his alleged refutation of Meinong's Gegenstandstheorie (objectology aka theory of objects).".

In this paper I try to fortify the nominalistic objectology (cf. Meinong's 'Gegenstandstheorie') with essentialist means. This also is intended as a preparation for introducing Information Monism.

This sketch of a perhaps future 'Elementary Theory of the Category of Mereological Sums (including Mereological Wholes and Parts)' relates to my previous papers "The Topos of Emergence" and "Intelligible Gunk". I assert that for successfully categorizing Mereology one has to start with a specific setting of gunk. In this paper we will give a sketch of a categorically version of particular mereological structures. I.e. we will follow the example of F.W.Lawvere’s “An elementary theory of the category of sets” -/- (...) where he introduced a categorised version of set theory. We refer to sirenians mainly for the reason that they are the closest living relatives of elephants. -/- But they are also rather underestimated creatures - at the first moment rather dull and clumsy, but moving gracefully and elegant in their natural habitat.And some sailors already reckognized their bewitching attraction before we did.Yet we still think this sirenia is a modest creature compared with the elephant in the room. (shrink)

-/- Abstract . In an earlier paper ‘The Topos of Emergence’ (‘TheTopos of Emrgence’, in: Boundaries - The Scientifc Aspects of ANPA 24, (ed. Keith G. Bowden), London 2003, pp 236 –250; cf.also:http://www.academia.edu/1549400/The_Topos_of_Emergence) I introduced a mathematical structure called the topos PrePhys consisting of an ever propagating emergent hierarchy made of a strict n-categorical unfolding of automorphic objects obAM .Later I came to the conclusion that this topos PrePhys perfectly matchs the concept of Gunk introduced under this name by DavidLewis. (...) (cf. D.Lewis, Parts of Classes, Oxford, Cambridge (Mass.)1991, pp 19 –21. (shrink)

In this paper I try to combine the objectology of Meinong with a neutral substance monism of the kind originally proposed by Spinoza (deus sive natura). Yet Spinoza was still stuck in the Cartesian paradigm and therefore rather gave a dual monism (extensio et intellectus) than a proper neutral monism. I propose that there are only two attributes of the one substance: existence and non-existence. Everything else is/are mere modes of them.

In this paper I will combine ideas of Meinong's objectology with earlier ideas of ethereal or intelligible gunk. I will try to make that useful for a better understanding of 'emergence'. I also spend some remarks on mathematical theories.