8 citations · 23 across the 15 of their papers we have counts for
16 papers
Hankel's principle as an anti-Kantian program
Iulian D. Toader
Hankel used his principle of the permanence of formal laws (PFL) as a guide for the extension of number systems and as a necessary condition for the legitimacy of their formal theo…
Peacock's Principle as a Conservative Strategy
Iulian D. Toader
The view that Peacock's principle of permanence has been invalidated by Hamilton's introduction of non-commutative algebras has always seemed rather odd, in light of Peacock's favo…
Bivalent Quantum Indeterminacy
Claudio Calosi, Iulian D. Toader
This paper provides a novel metametaphysical approach to quantum indeterminacy. More specifically, it argues that bivalent quantum logic can successfully account for this kind of i…
Distribution can be Dropped: Reply to Rumfitt
Iulian D. Toader
Most believe that there are no empirical grounds that make the adoption of quantum logic necessary. Ian Rumfitt has further argued that this adoption is not possible, either, for t…
Why Did Weyl Think that Emmy Noether Made Algebra the Eldorado of Axiomatics?
Iulian D. Toader
The paper attempts to clarify Weyl's metaphorical description of Emmy Noether's algebra as the Eldorado of axiomatics. It discusses Weyl's early view on axiomatics, which is part o…
Permanence as a Principle of Practice
Iulian D. Toader
The paper discusses Peano's argument for preserving familiar notations. The argument reinforces the principle of permanence, articulated in the early 19th century by Peacock, then…
Weyl's Quantifiers
Iulian D. Toader
I argue against the predominant view of Weyl's interpretation of the logical signs. Drawing on his correctness-first account of mathematical knowledge, I point out that, according…
Quantum Mechanics as a Carnapian Language
Iulian D. Toader
The paper discusses Carnap's claim that a proper philosophical analysis of quantum mechanics, including a determination of whether its logic has to be revised, requires a rational…
Is Bohr's Correspondence Principle just Hankel's Principle of Permanence?
Iulian D. Toader
No, but the paper argues that Bohr understood his correspondence principle, or at least an aspect of that principle expressed by the notion of rational generalization, as grounded…
Rules and Meaning in Quantum Mechanics
Iulian D. Toader
This book concerns the metasemantics of quantum mechanics (QM). Roughly, it pursues an investigation at the intersection of philosophy of physics and philosophy of language, and it…
On the Categoricity of Quantum Mechanics
Iulian D. Toader
The paper offers an argument against an intuitive reading of the Stone-von Neumann theorem as a categoricity result, thereby pointing out that, against what is usually taken to be…
Spacetime Singularities and Invariance
O. Cristi Stoica, Iulian D. Toader
This paper explains why spacetime singularities do not constitute a breakdown of physical laws, and points out that the difference between the metrics at singularities and those ou…
Einstein Completeness as Categoricity
Iulian D. Toader
This paper provides an algebraic reconstruction of Einstein's own argument for the incompleteness of quantum mechanics -- the one that he thought did not make it into the EPR paper…
Carnap on Quantum Mechanics
Sebastian Horvat, Iulian D. Toader
This entry reviews Rudolf Carnap's philosophical views on the quantum mechanics of his time. It also offers some thoughts on how Carnap might have reacted to some recent developmen…
An Alleged Tension between Non-classical Logics and Applied Classical Mathematics
Sebastian Horvat, Iulian D. Toader
Timothy Williamson has recently argued that the applicability of classical mathematics in the natural and social sciences raises a problem for the endorsement, in non-mathematical…
Quantum Logic and Meaning
Sebastian Horvat, Iulian D. Toader
This paper gives a formulation of quantum logic in the abstract algebraic setting laid out by Dunn and Hardegree (2001). On this basis, it provides a comparative analysis of viable…