5 papers · 1 filter
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…
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…
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…