KILLING THE FATHERS: A BIOLOGY-FRAMED SKEPTICISM

Arturo Tozzi (corresponding Author),
Center for Nonlinear Science, University of North Texas
1155 Union Circle, #311427 Denton, TX 76203-5017 USA
tozziarturo@libero.it
 
James F. Peters
Department of Electrical and Computer Engineering, University of Manitoba
75A Chancellor’s Circle Winnipeg, MB R3T 5V6 CANADA and
Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey
James.Peters3@umanitoba.ca
 
 
Starting from the tenets of human imagination, i.e., the concepts of lines, points and infinity, we provide a biological
demonstration that the skeptical claim “human beings cannot attain knowledge of the world” holds true. We show
that the Euclidean account of the point as “that of which there is no part” is just a conceptual device, untenable in our
physical/biological realm: terms like “lines, surfaces and volumes” label non-existent, arbitrary properties. We also
elucidate the psychological and neuroscientific features hardwired in our brain that lead us humans to think to points
and lines as truly occurring in our environment. Therefore, our current scientific descriptions of objects’ shapes,
graphs and biological trajectories in phase spaces need to be revisited, leading to a proper portrayal of the real world’s events. In order to provide also a positive account, we view miniscule bounded physical surface regions as the basic objects in a biological context in a traversal of spacetime instead of the usual Euclidean points. Our account makes it possible to erase a painstaking problem that causes many theories to break down and/or being incapable of describing extreme events: the unwanted occurrence of infinite values in equations, such as singularity in the description of black holes. We propose a novel approach, based on point-free geometrical standpoints, that banishes infinitesimals and leads to a tenable physical/biological geometry. We conclude that points, lines, volumes and infinity do not describe the world, rather they are fictions introduced by ancient surveyors of land surfaces.

 

Tozzi, A.; Peters, J.F.. Killing the Fathers: A Biology-Framed Skepticism. Preprints 2018, 2018090027 (doi: 10.20944/preprints201809.0027.v1).

 
 
THthe world, rather they are fictions introduced by ancient surveyors of land surfaces.Arturo Tozzi (corresponding Author),
Center for Nonlinear Science, University of North Texas
1155 Union Circle, #311427 Denton, TX 76203-5017 USA
tozziarturo@libero.it
James F. Peters
Department of Electrical and Computer Engineering, University of Manitoba
75A Chancellor’s Circle Winnipeg, MB R3T 5V6 CANADA and
Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey
James.Peters3@umanitoba.ca
Starting from the tenets of human imagination, i.e., the concepts of lines, points and infinity, we provide a biological
demonstration that the skeptical claim “human beings cannot attain knowledge of the world” holds true. We show
that the Euclidean account of the point as “that of which there is no part” is just a conceptual device, untenable in our
physical/biological realm: terms like “lines, surfaces and volumes” label non-existent, arbitrary properties. We also
elucidate the psychological and neuroscientific features hardwired in our brain that lead us humans to think to points
and lines as truly occurring in our environment. Therefore, our current scientific descriptions of objects’ shapes,
graphs and biological trajectories in phase spaces need to be revisited, leading to a proper portrayal of the real world’s
events. In order to provide also a positive account, we view miniscule bounded physical surface regions as the basic
objects in a biological context in a traversal of spacetime instead of the usual Euclidean points. Our account makes it
possible to erase a painstaking problem that causes many theories to break down and/or being incapable of describing
extreme events: the unwanted occurrence of infinite values in equations, such as singularity in the description of black
holes. We propose a novel approach, based on point-free geometrical standpoints, that banishes infinitesimals and
leads to a tenable physical/biological geometry. We conclude that points, lines, volumes and infinity do not describe
the world, rather they are fictions introduced by ancient surveyors of land surfaces.