A 2012 review article for Metascience which explains Mach's realistic brand of empiricism, contrasting it with the common phenomenalist reading of Mach by John Blackmore in two recent books.

With the failure of the Soviet Union, Aleksandr Bogdanov has come under increasing scrutiny as the anti-authoritarian, left-wing opponent of Lenin among the Bolsheviks and the main inspiration behind the Proletk'ult movement, the movement which attempted to create a new, proletarian culture (Sochor, 1988). Bogdanov's efforts to create a new, universal science of organization, a precursor to systems theory and cybernetics, has also attracted considerable attention (Gorelik, 1980; Bello, 1985; Biggart et.al. 1998). And he has been recognized as an early (...) environmentalist and as a feminist (Graham, 1984; Gare, 1994; Gare, 1996, pp.249-52). But few people have paid much attention to Bogdanov as an historian, sociologist and philosopher of science. Yet Bogdanov developed highly original ideas on science, offering unique resolutions to the oppositions between instrumentalism and realism and between internalist and externalist accounts of scientific development, and following from these, proposed a radical transformation of science as the foundation for an equally radical transformation of society. (shrink)

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...) also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators on it. One can interpret special Minkowski space involved by special relativity and the qubit Hilbert space of quantum information as Fourier counterparts immediately noticing that general relativity means gravitation as the Fourier counterpart of non-Hermitian operators implying non-unitarity and the violation of energy conservation and thus destroying Pauli’s particle paradigm. Since the Standard model obeys it, this explains the impossibility of “quantum gravitation” in any framework conservatively generalizing the Standard model so that it would include gravitation along with electromagnetic, weak, and strong interactions. Einstein’s geometrization of gravitation can be continued into a purely mathematical theory of it following Euclid’s realization for geometry to be exhaustively built in a deductive and axiomatic way as well as Riemann’s parametrization of all the class of Euclidean and non-Euclidean geometries by “space curvature”, then being generalized to Minkowski space as the operators on pseudo-Riemannian space as the Einstein field equation means gravitation. The transition from mathematical gravitation to logical one can rely on the historical lesson of the pair of Lobachevski’s and Riemann’s approaches now “reversely”, i.e., from the latter to the former. Logical gravitation is linkable to Hegel’s dialectical logic and ontological dialectics abandoning their interpretations as a new zero logic substituting classical propionyl logic. The approach of ontomathematics generalizing that of ontology, traceable even to Aristotle’s reformation of Plato’s doctrine, needs Hegel’s doctrine to be formalized as a first-order logic naturally containing Boolean algebra, isomorphic to both classical propositional logic and set theory being the class of all first-order logics, as a sub-logic along with Peano arithmetic as another sub-logic. The first-order logic at issue is called Hilbert arithmetic and elaborated in detail in other papers. It allows for both self-foundation of mathematics to be internally proved as complete and furthermore, quantum mechanics reinterpreted as quantum information to be included by the qubit Hilbert space interpretable in turn as a dual and physical counterpart of Hilbert arithmetic in a narrow sense, that is, both counterparts constitute Hilbert arithmetic in a wide sense, being mathematical and physical simultaneously and thus overcoming the Cartesian dualism of “body” gapped from “mind” by an abyss. Then, the proper philosophical interpretation of gravitation to be the fundamental ontomathematical force or interaction overcomes the ridiculous belief of the Big Bang wrongly alleged to be a scientific theory. Ontomathematical gravitation suggests an omnipresent and omnitemporal medium of “God’s” creation “ex nihilo” following only the natural necessity of quantum-information conservation particularly and locally manifested as energy conservation. (shrink)

This paper has a twofold aim. On the one hand, it explores the extent to which Mach was inspired by Kant’s approach to philosophical inquiry and tried to further elaborate it through his historico-critical method for enlightening scientific knowledge claims. On the other hand, it argues that the focus on the situated character of these claims that is implied in Mach’s epistemology makes it possible to compare his view to recent attempts to defend a perspectival realist account of scientific knowledge, (...) thus revealing the relevance of Mach’s own approach as a methodology in the philosophy of science. (shrink)

Husserl’s phenomenology is what is used, and then the conception of “bracketing reality” is modelled to generalize Peano arithmetic in its relation to set theory in the foundation of mathematics. The obtained model is equivalent to the generalization of Peano arithmetic by means of replacing the axiom of induction with that of transfinite induction. A comparison to Mach’s doctrine is used to be revealed the fundamental and philosophical reductionism of Husserl’s phenomenology leading to a kind of Pythagoreanism in the final (...) analysis. (shrink)

The subject of this essay-based dissertation is Hume’s natural philosophy. The dissertation consists of four separate essays and an introduction. These essays do not only treat Hume’s views on the topic of natural philosophy, but his views are placed into a broader context of history of philosophy and science, physics in particular. The introductory section outlines the historical context, shows how the individual essays are connected, expounds what kind of research methodology has been used, and encapsulates the research contributions of (...) the essays. The first essay treats Newton’s experimentalist methodology in gravity research and its relation to Hume’s causal philosophy. It is argued that Hume does not see the relation of cause and effect as being founded on a priori reasoning, similar to the way in which Newton criticized non-empirical hypotheses about the causal properties of gravity. Contrary to Hume’s rules of causation, the universal law does not include a reference either to contiguity or succession, but Hume accepts it in interpreting the force and the law of gravity instrumentally. The second article considers Newtonian and non-Newtonian elements in Hume more broadly. He is sympathetic to many prominently Newtonian themes in natural philosophy, such as experimentalism, critique of hypotheses, inductive proof, and the critique of Leibnizian principles of sufficient reason and intelligibility. However, Hume is not a Newtonian philosopher in many respects: his conceptions regarding space and time, the vacuum, the specifics of causation, the status of mechanism, and the reality of forces differ markedly from Newton’s related conceptions. The third article focuses on Hume’s Fork and the proper epistemic status of propositions of mixed mathematics. It is shown that the epistemic status of propositions of mixed mathematics, such as those concerning laws of nature, is that of matters of fact. The reason for this is that the propositions of mixed mathematics are dependent on the Uniformity Principle. The fourth article analyzes Einstein’s acknowledgement of Hume regarding special relativity. The views of the scientist and the philosopher are juxtaposed, and it is argued that there are two common points to be found in their writings, namely an empiricist theory of ideas and concepts and a relationist ontology regarding space and time. (shrink)

Sensationalistic Phenomenalism and Economy of Thought. On Ernst Mach's Concept of Science. Ernst Mach, natural scientist and major precursor of the Vienna Circle, never wants to be a philosopher. Nevertheless his writings are full of valuable hints for a modern theory of human knowledge – with respect to economical, historical and evolutionary aspects. His kind of phenomenalism is sensationalistic, monistic and instrumentalistic. This article deals with some contributions of his approach to actual debates in the general philosophy of science.

In the end of the nineteenth century, there was a remarkable ‘empiricist attitude’ found among certain philosopher-scientists, an attitude which arguably emerged in the main as a reaction to the anti-scientific mood prevalent in the culture that time. Those philosopher-scientists, such as Mach and Hertz, were particularly anxious to emphasize and laud the privileged status of the empirical dimension ofour scientific knowledge, distinguishing it carefully from the theoretical constructions and hypothetical entities that are ordinarily posited by scientists. Yet, as I (...) exhibit in this article, there were certain crucial philosophical differences between these two thinkers with respect to their general conception of scientific theories and scientific norms guiding the activity. I suggest further that the most central difference in this context between Mach and Hertz can justifiably (and, perhaps, more fruitfully) be articulated and reckoned in traditional andcontemporary epistemological terms. (shrink)

Some popular views of Ernst Mach cast him as a philosopher-scientist averse to imaginative practices in science. The aim of this analysis is to address the question of whether or not imagination is compatible with Machian philosophy of science. I conclude that imagination is not only compatible but essential to realizing the aim of science in Mach’s biologico-economical view. I raise the possible objection that my conclusion is undermined by Mach’s criticism of Isaac Newton’s famous “bucket experiment.” I conclude that (...) Mach’s issue lies not with thought experimentation, tout court, but with the improper use of thought experimentation as it relates to the aim of the biologico-economical development of science. (shrink)

Some popular views of Ernst Mach cast him as a philosopher-scientist averse to imaginative practices in science. The aim of this analysis is to address the question of whether or not imagination is compatible with Machian philosophy of science. I conclude that imagination is not only compatible, but essential to realizing the aim of science in Mach’s biologico-economical view. I raise the possible objection that my conclusion is undermined by Mach’s criticism of Isaac Newton’s famous “bucket experiment.” I conclude that (...) Mach’s issue lies not with thought experimentation, tout court, but with the improper use of thought experimentation as it relates to the aim of the biologico-economical development of science. (shrink)

Continental philosophy of science has developed alongside mainstream analytic philosophy of science. But where continental approaches are inclusive, analytic philosophies of science are not–excluding not merely Nietzsche’s philosophy of science but Gödel’s philosophy of physics. As a radicalization of Kant, Nietzsche’s critical philosophy of science puts science in question and Nietzsche’s critique of the methodological foundations of classical philology bears on science, particularly evolution as well as style (in art and science). In addition to the critical (in Mach, Nietzsche, Heidegger (...) but also Husserl just to the extent that continental philosophy of science tends to depart from a reflection on the crisis of foundations), other continental philosophies of science include phenomenology (Husserl, Bachelard, Merleau‐Ponty, etc.) and hermeneutics (Heidegger, Gadamer, Heelan, etc.), especially incorporating history of science (Nietzsche, Mach, Duhem, Butterfield, Feyerabend, etc.). Examples are drawn from the philosophy of sciences (chemistry, geology, and biology) other than physics. (shrink)

The present paper studies Ernst Mach’s experimental work with “spark waves” and other types of shock waves, which brought him to the 1887–88 famous schlieren photographs of supersonic phenomena triggered by bullets shot at high speed. Against what it is traditionally argued, I show (1) that Ernst Mach’s visualization attempts do not depend on his commitment to any particular philosophical doctrine about the role of sensations as the foundation of empirical science, and (2) that his inclination toward experimental research may (...) have crucially contributed to the development of his epistemological and ontological views. (shrink)

Craig Callender claims that ‘time is the great informer’, meaning that the directions in which our ‘best’ physical theories inform are temporal. This is intended to be a metaphysical claim, and as such expresses a relationship between the physical world and information-gathering systems such as ourselves. This article gives two counterexamples to this claim, illustrating the fact that time and informative strength doubly dissociate, so the claim cannot be about physical theories in general. The first is a case where physical (...) theories inform in directions that we have no reason to regard as temporal. The second is a case where our best physical theories fail to inform in directions that we have independent (pre-theoretic) reasons to regard as temporal. Taking these two cases into account suggests that the connection Callender makes between time and informativeness is perspectival. The second case demonstrates that although scientists often seek information in temporal directions, the behaviour of the physical world can present serious difficulties for finding it. In response, this article proposes a perspectival reading of Callender’s claim, according to which the connection between time and informative strength has more to do with the aims and objectives of science than the workings of the physical world. (shrink)