Project of paper – science.maelbathfield.net

Classical Mechanics and States of Motion

Maël — Sun, 18 Sep 2022 10:52:00 +0000

The philosophical (even metaphysical) consequences of the position defended in my first article, thus the philosophical problems posed by the notion of ‘instantaneous velocity’ in the framework of classical physics will be examined, and a solution will be proposed.

A first version of this article, entitled “In Defense of the Unavoidable Existence of States of Motion”, has already been submitted to the editors of the journal Philosophy of Science: it was refused for fairly well justified reasons, and also the reviewers did constructive criticism. As a result, the argumentative structure of this second version has been profoundly modified.

The second version (entitled “Why Classical Mechanics Needs the Existence of States of Motion in Order to Be Fully Consistent”) was then submitted to the journal Synthese: the reviewers again gave rather constructive criticism, but the main objection was that it was not a ‘hot topic’ to be published in this journal. The substance of my statement was only criticized on a few points of detail. A third version (again with a change of title) is therefore in preparation…

Source of illustration image: http://res-nlp.univ-lemans.fr/NLP_C_M01_G01/co/Contenu%2031.html

The Arrow argument and Zeno’s dialectic

Maël — Wed, 06 Jan 2021 12:00:26 +0000

A new interpretation, closer to the original Greek text, of the ‘Flying Arrow’ argument will be proposed.

The complex dialectic formed by the 4 arguments concerning motion will be exposed.

Source of illustration image: https://fr.wikipedia.org/wiki/Z%C3%A9non_d%27%C3%89l%C3%A9e#/media/Fichier:Zeno_of_Elea_Tibaldi_or_Carducci_Escorial.jpg

History of mathematics and Zeno’s paradoxes

Maël — Mon, 30 Mar 2020 11:04:10 +0000

Draft article in response to the article “When Science Confronts Philosophy: Three Case Studies” by Eric Dietrich: https://link.springer.com/article/10.1007/s10516-019-09472-9. It seems to me that including the case of the paradoxes of Zeno is not really wise compared to my own work (which E. Dietrich does not seem to have read)

Connections between mathematics and the paradoxes of Zeno’s movement will then be examined in great detail.

Source of illustration image: https://www.futura-sciences.com/sciences/actualites/mecanique-quantique-effet-zenon-nouvelle-preuve-cette-etrangete-quantique-60252/