Talking Past Each Other: Mach and Husserl on Thought Economy

Toader, Iulian D.

doi:10.1007/978-3-030-04378-0_16

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“…In a recent paper by Toader (Toader, 2019) the author compares the ideas of Edmund Husserl and Ernst Mach and talks about the principle of permanence of forms as: the principle of theoretical rationality (necessary for the authentic development of science), the principle of practical rationality (related to the principle of least effort in intellectual work), a metaphysical principle connected with mathematical intuition, and a semantic principle expressing relations between a formal theory and its interpretation.…”

Section: Reception and Critical Remarksmentioning

confidence: 99%

Remarks on the Principle of Permanence of Forms

Pogonowski¹

2020

AUPC

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Section: Reception and Critical Remarksmentioning

confidence: 99%

Remarks on the Principle of Permanence of Forms

Pogonowski¹

2020

AUPC

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“…For a discussion of Mach's conception of the principle of permanence as a thoughteconomical principle, and his dispute with Husserl on the matter, seeToader (2019).…”

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Permanence as a principle of practice

Toader

2021

Historia Mathematica

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Dedicated to the memory of Mic Detlefsen 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 adjusted by Hankel and adopted by many others. Typically regarded as a principle of theoretical rationality, permanence was understood by Peano, following Mach, and against Schubert, as a principle of practical rationality. The paper considers how permanence, thus understood, was used in justifying Burali-Forti and Marcolongo's notation for vectorial calculus, and in rejecting Frege's logical notation, and closes by considering Hahn's revival of Peano's argument against Pringsheim' reading of permanence as a logically necessary principle. Der Beitrag diskutiert Peanos Argument für die Bewahrung vertrauter Notationen. Es geht um das Prinzip der Permanenz, das im frühen 19. Jahrhundert von Peacock artikuliert, dann von Hankel angepasst und von vielen anderenübernommen wurde. Während es im allgemeinen als ein Prinzip der theoretischen Rationalität betrachtet wurde, interpretierte Peano es anknüpfend an Mach und gerichtet gegen Schubert als ein Prinzip der praktischen Rationalität. Der Beitrag untersucht, wie Permanenz, so verstanden, von Burali-Forti und Marcolongo zur Rechtfertigung von Bezeichnungen in der Vektorrechnung verwendet wurde und zur Zurückweisung der logischen Notation Freges führte. Die Arbeit schließt mit einer Erörterung der Wiederbelebung des Peanoschen Arguments in Hahns Kritik von Pringsheims Interpretation der Permanenz als ein logisch notwendiges Prinzip.

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Talking Past Each Other: Mach and Husserl on Thought Economy

Cited by 2 publications

References 0 publications

Remarks on the Principle of Permanence of Forms

Remarks on the Principle of Permanence of Forms

Permanence as a principle of practice

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