On the concept of finitism

DOI10.1007/s11229-014-0639-3zbMath1369.03050OpenAlexW2068287963MaRDI QIDQ510710

Luca Incurvati

Publication date: 14 February 2017

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11229-014-0639-3

zbMATH Keywords

Hilbertintuitionfinitisminfinite totality

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05)

Cites Work

• Hilbert's program. An essay on mathematical instrumentalism
• Untersuchungen über das logische Schliessen. I
• On interpretations of arithmetic and set theory
• Die Widerspruchsfreiheit der allgemeinen Mengenlehre
• The Adventure of Reason
• ON ONTOLOGY AND REALISM IN MATHEMATICS
• ÜBER EINE BISHER NOCH NICHT BENÜTZTE ERWEITERUNG DES FINITEN STANDPUNKTES
• TWO (OR THREE) NOTIONS OF FINITISM
• Partial realizations of Hilbert's program
• Hilbert's program and the omega-rule
• Primitive Recursive Arithmetic and Its Role in the Foundations of Arithmetic: Historical and Philosophical Reflections
• Existence and feasibility in arithmetic
• A Formalization of Recursive Arithmetic
• Function Theory in an Axiom-Free Equation Calculus
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