Foundations of Science 24 (2):1-35 (2018)

Authors
Mario Natiello
Centre For Mathematical Sciences
Abstract
In the present essay we attempt to reconstruct Newtonian mechanics under the guidance of logical principles and of a constructive approach related to the genetic epistemology of Piaget and García. Instead of addressing Newton’s equations as a set of axioms, ultimately given by the revelation of a prodigious mind, we search for the fundamental knowledge, beliefs and provisional assumptions that can produce classical mechanics. We start by developing our main tool: the no arbitrariness principle, that we present in a form that is apt for a mathematical theory as classical mechanics. Subsequently, we introduce the presence of the observer, analysing then the relation objective–subjective and seeking objectivity going across subjectivity. We take special care of establishing the precedence among all contributions to mechanics, something that can be better appreciated by considering the consequences of removing them: the consequence of renouncing logic and the laws of understanding is not being able to understand the world, renouncing the early elaborations of primary concepts such as time and space leads to a dissociation between everyday life and physics, the latter becoming entirely pragmatic and justified a-posteriori, changing our temporary beliefs has no real cost other than effort. Finally, we exemplify the present approach by reconsidering the constancy of the velocity of light. It is shown that it is a result of Newtonian mechanics, rather than being in contradiction with it. We also indicate the hidden assumption that leads to the contradiction.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 2019
ISBN(s)
DOI 10.1007/s10699-018-9573-z
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 62,388
Through your library

References found in this work BETA

The Unreality of Time.John Ellis McTaggart - 1908 - Mind 17 (68):457-474.
On the Relations of Universals and Particulars.Bertrand Russell - 1912 - Proceedings of the Aristotelian Society 12:1-24.
Psychology in Physical Language.R. Carnap - 1959 - In A. J. Ayer (ed.), Logical Positivism. Free Press.

View all 15 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Euler, Newton, and Foundations for Mechanics.Marius Stan - 2017 - In Chris Smeenk & Eric Schliesser (eds.), The Oxford Handbook of Newton. Oxford University Press. pp. 1-22.
Randomness in Classical Mechanics and Quantum Mechanics.Igor V. Volovich - 2011 - Foundations of Physics 41 (3):516-528.
Newtonian Mechanics.Ryan Samaroo - 2021 - In Eleanor Knox & A. Wilson (eds.), The Routledge Companion to Philosophy of Physics. London, UK: Routledge.
Kant’s Third Law of Mechanics: The Long Shadow of Leibniz.Marius Stan - 2013 - Studies in History and Philosophy of Science Part A 44 (3):493-504.
The Frame of Fixed Stars in Relational Mechanics.Rafael Ferraro - 2017 - Foundations of Physics 47 (1):71-88.
On the Classical Limit of Quantum Mechanics.Valia Allori & Nino Zanghi - 2008 - Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.

Analytics

Added to PP index
2018-12-05

Total views
19 ( #558,535 of 2,445,546 )

Recent downloads (6 months)
1 ( #457,182 of 2,445,546 )

How can I increase my downloads?

Downloads

My notes