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)

I examine the views of Thomas Reid with respect to a certain version of the problem of induction: Why are inductions using natural kinds successful, and what justifies them? I argue that while both Reid holds a kind of conventionalist view about natural kinds, this conventionalism has a realistic component which allows him to answer both questions.

This paper argues that a debate between Toland and Clarke is the intellectual context to help understand the motive behind the critic and the significance of Berkeley's response to the critic in PHK 60-66. These, in turn, are responding to Boyle's adaptation of a neglected design argument by Cicero. The paper shows that there is an intimate connection between these claims of natural science and a once famous design argument. In particular, that in the early modern period the connection between (...) the scientific revolution and a certain commitment to final causes, and god's design, is more than merely contingent. The details of PHK 60-66 support the idea that the critic is responding to concerns that by echoing features of Toland's argument Berkeley undermines the Newtonian edifice Clarke has constructed. (shrink)

In this article, we discuss the development of the concept of a ‘law’ (of nature) in the work of the Dutch natural philosopher and experimenter Petrus van Musschenbroek (1692–1761). Since Van Musschenbroek is commonly described as one of the first ‘Newtonians’ on the Continent in the secondary literature, we focus more specifically on its relation to Newton’s views on this issue. Although he was certainly indebted to Newton for his thinking on laws (of nature), Van Musschenbroek’s views can be seen (...) to diverge from Newton’s on crucial points. We show, moreover, how his thinking on laws of nature was shaped by both international and local factors. We start with a brief discussion of Newton’s concept of ‘laws of nature’ in order to set the stage for Van Musschenbroek’s. We then document the development of Van Musschenbroek’s views on laws of nature in chronological order. We demonstrate how his thinking on laws of nature was tied to institutional, theological and scientific factors. We conclude by pointing to the broader significance of this case study for our understanding of the development of the concept ‘law of nature’ during the eighteenth century. (shrink)

We argue that there is no tension between Reid's description of science and his claim that science is based on the principles of common sense. For Reid, science is rooted in common sense since it is based on the idea that fixed laws govern nature. This, however, does not contradict his view that the scientific notions of causation and explanation are fundamentally different from their common sense counterparts. After discussing these points, we dispute with Cobb's and Benbaji's interpretations of Reid's (...) views on causation and explanation. Finally, we present Reid's views from the perspective of the contemporary debate on scientific explanation. (shrink)

I identify a set of interlocking views that became (and still are) very influential within philosophy in the wake of Newton’s success. These views use the authority of natural philosophy/mechanics to settle debates within philosophy. I label these “Newton’s Challenge.”.

Thomas Reid thinks of natural philosophy as a purely nomothetic enterprise but he maintains that it is proper for natural philosophers to employ causal terminology in formulating their explanatory claims. In this paper, I analyze this puzzle in light of Reid's distinction between efficient and physical causation – a distinction he grounds in his strict understanding of active powers. I consider several possible reasons that Reid may have for maintaining that natural philosophers ought to employ causal terminology and suggest that (...) the underlying rationale for his views is his understanding of the aims of explanation and their connection to the interests of human agents. The ultimate aim of knowing the causes of phenomena is to mollify the natural intellectual curiosity of human inquirers and provide guidance that insures successful action. The discovery of laws governing phenomena fulfills this aim and, as such, it is appropriate for natural philosophers to employ causal terminology. (shrink)

The paper covers the discussion of three aspects of Thomas Reid’s political thought. Initially, it presents and discusses Reid’s understanding of Politics. Secondly, it is argued that, unlike the first principles of other branches of knowledge, such as Mathematics, Philosophy of Mind and Morals, the first principles of Politics are not the first principles of common sense. Politics is founded on a form of empirical knowledge that cannot be identified with common sense, with the judgments and beliefs due to the (...) original constitution of mind that are shared by most humans. Finally, it is argued, from a parallel with the philosophy of nature, that common sense has only a methodological role in Politics. (shrink)

I begin with a diagnosis. Present-day scholarly work on the Scottish Enlightenment is bifurcated: it is either focused on the areas of moral philosophy or of natural philosophy, broadly construed in both cases. The aspiration to combine these inquiries is rare and unsystematic. This paper makes a case for the need and possibility of a perspective that conceives moral and natural inquiry as integrated enterprises in the period. It also suggests that potentially useful interpretive devices can be adopted from the (...) historiography of science and philosophy, as well as science studies. (shrink)