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Metemphysics is a new discipline defined by this paper. A single axiom is provided, along with a method for reaching qualified metem-physical statements using the axiom.
Boletim da Sociedade Paranaense de Matemática, 2009
Our main purpose here is to make some considerations about the definability of physical concepts like mass, force, time, space, spacetime, and so on. Our starting motivation is a collection of supposed definitions of closed system in the literature of physics and philosophy of physics. So, we discuss the problem of definitions in theoretical physics from the point of view of modern theories of definition. One of our main conclusions is that there are different kinds of definitions in physics that demand different approaches. Within this context, we strongly advocate the use of the axiomatic method in order to discuss some issues concerning definitions.
Phaenomenologica, 2007
The notions of "construction principles" is proposed as a complementary notion w.r. to the familiar "proof principles" of Proof Theory. The aim is to develop a parallel analysis of these principles in Mathematics and Physics : common construction principles, in spite of different proof principles, justify the effectiveness of Mathematics in Physics. The very "objects" of these disciplines are grounded on commun genealogies of concepts : there is no trascendence of concepts nor of objects without their contingent and shared constitution. A comparative analysis of Husserl's and Gödel's philosophy is hinted, with many references to H. Weyl's reflections on Mathematics and Physics.
Making it Formally Explicit, 2017
A physical theory is a partially interpreted axiomatic formal system (L, S), where L is a formal language with some logical, mathematical and physical axioms, and with some derivation rules, and the semantics S is a relationship between the formulas of L and some states of affairs in the physical world. In our ordinary discourse, the formal system L is regarded as an abstract object or structure, the semantics S as something which involves the mental/conceptual realm. This view is of course incompatible with physicalism. How can physical theory be accommodated in a purely physical ontology? The aim of this paper is to outline an account for meaning and truth of physical theory, within the philosophical framework spanned by three doctrines: physicalism, empiricism, and the formalist philosophy of mathematics.
preprints, 2019
Mereology stands for the philosophical concept of parthood and is based on a sound set 10 of fundamental axioms and relations. One of these axioms relates to the 11 existence of a universe as a thing having part all other things. 12 The present article formulates this logical expression first as an algebraic inequality and eventually 13 as an algebraic equation reading in words: 14 The universe equals the sum of all things. 15 "All things" here are quantified by a "number of things". Eventually this algebraic equation is 16 normalized leading to an expression 17 The whole equals the sum of all fractions. 18 This introduces "1" or "100%" as a quantitative-numerical-value describing the "whole". The 19 resulting "basic equation" can then be subjected to a number of algebraic operations. Especially 20 squaring this equation leads to correlation terms between the things implying that the whole is 21 more than just the sum of its parts. Multiplying the basic equation (or its square) by a scalar allows 22 for the derivation of physics equations like the entropy equation, the ideal gas equation, an 23 equation for the Lorentz-Factor, conservation laws for mass and energy, the energy-mass 24 equivalence, the Boltzmann statistics, and the energy levels in a Hydrogen atom. It further allows 25 deriving a "contrast equation" which may form the basis for the definition of a length and a time 26 scale. Multiplying the basic equation with vectors, pseudovectors, pseudoscalars and eventually 27 hypercomplex numbers opens up the realm of possibilities to generate many further equations. 28
Logic and Logical Philosophy, 2005
We present a conceptual analysis of the notions of actual physical property and potential physical property as used by theoretical physicists/mathematicians working in the domain of operational quantum logic. We investigate how these notions are being used today and what role they play in the specified field of research. In order to do so, we will give a brief introduction to this area of research and explain it as a part of the discipline known as "mathematical metascience". An in depth analysis of Aristotle's use of the notions of "actuality" and "potentiality" is presented in order to point out exactly how much of the Aristotelian connotations are embedded in the contemporary use of the concepts under investigation. Although we will not focus in depth on all the drawbacks in the early historical development of physics due to the overwhelming influence of Aristotle's writings, our analysis does touch upon some aspects of the Aristotelian theory of movement that are often overthrown nowadays.
2018
The fundamental question of metaphysics is what exists, not in any particular structure, but in general. To answer this question requires determination of the nature of existence, or more concretely, what it means for something to exist. Thus a worthwhile metaphysics should provide an explicit criterion for existence. A wide variety of such criteria have been proposed, and these can be divided into broad categories based on how they handle abstracta, in particular mathematical objects. Platonistic metaphysical accounts incorporate physical objects and mathematical objects as disjoint categories, but require an account of how these two categories of objects interact, which is a vexing philosophical question [6]. One way to handle this issue is to eliminate one of these two categories, and this is precisely what is done in nominalistic accounts, which admit the existence of physical objects but not of mathematical objects.
PHYSICS ESSAYS 33, 4 (2020), 2020
Mereology stands for the philosophical concept of parthood and is based on a sound set of fundamental axioms and relations. One of these axioms relates to the “existence of a universe as a thing having part all other things.” The present article formulates this logical expression first as an algebraic inequality and eventually as an algebraic equation reading in words: “The universe equals the sum of all things.” “All things” here are quantified by a “number of things.” Eventually, this algebraic equation is normalized leading to an expression: “The whole equals the sum of all fractions.” This introduces “1” or “100%” as a quantitative—numerical—value describing the “whole.” The resulting “basic equation” can then be subjected to a number of algebraic operations. Especially squaring this equation leads to correlation terms between the things implying that the whole is more than just the sum of its parts. Multiplying the basic equation (or its square) by a scalar allows for the comparison to and aligning with physics equations like the entropy equation, the ideal gas equation, an equation for the Lorentz-factor, conservation laws for mass and energy, the energy-mass equivalence, the Boltzmann statistics, and the energy levels in a Hydrogen atom. It further leads to a “contrast equation,” which may form the basis for the definition of a length and a time scale. Multiplying the basic equation with vectors, pseudovectors, pseudoscalars, and eventually hypercomplex numbers opens up the realm of possibilities to generate many further equations.
A short essay to demonstrate that (contrary to orthodoxy and modern educational practices) physics has always been constructed on a metaphysical basis; particularly in the foundational area of ontology. A plea is made to restore this vital foundation to kick-start the stalled area of theoretical physics.
This is the editors' introduction to a new anthology of commissioned articles covering the various branches of philosophy of physics. We introduce the articles in terms of the three pillars of modern physics: relativity theory, quantum theory and thermal physics. We end by discussing the present state, and future prospects, of fundamental physics.
The invariance of the speed of light is taken as the fundamental of modern physics. But, in recent, the faster-than-light was observed. It requires that the fundamental of the whole physics be reassessed. In this paper, in the mathematics, the definitions in Euclidean Elements are stressed. It is pointed out that these definitions are only the concepts. They are not related to a certain real object or body. In physics, the Newtonian framework is stressed. It is pointed out that, in Newtonian theory, the abstract concepts are used as the definitions in Euclidean Elements. For example, the Sun is treated just as a point particle. And the initial law only is an abstracted concept which cannot be checked with experiment while it can be understood by our brain. According to the Euclidean Elements and Newtonian theory, some of the mathematical and physical concepts in modern physics are discussed. For example, it is pointed out that the extra dimension in modern physics is not a mathematical concept of Euclidean geometry as it is related to a real pillar. It is stressed that high and fractional coordinate systems are used to describe the object that can be described with the Cartesian one. And, the equations of physics in different coordinate systems and the transformation of the equations among different coordinate systems are discussed.
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