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Curtis Franks

Biographic Data

ID5995701
NAMECurtis Franks
GIVEN NAMESCurtis
FAMILY NAMEFranks
SIGNATUREFRANKS C
AFFILIATIONSUniversity of Notre Dame
VERIFIEDNo
TOTAL WORKS2
TOTAL CITATIONS0
WORKS AS AUTHOR2
WORKS AS EDITOR0
FIRST PUBLICATION YEAR2021
LATEST PUBLICATION YEAR2025
H-INDEX0
  • Disjunctive syllogism

    Open Access•Curtis Franks•ARTICLE•Synthese•2025•References: 15

    The inference pattern known as disjunctive syllogism (DS) appears as a derived rule in Gentzen’s natural deduction calculi ni and nk . This is a paradoxical feature of Gentzen’s calculi in so far as DS is sometimes thought of as appearing intuitively more elementary than the rules $$\vee $$ E, $$\lnot $$ E, and EFQ that figure in its derivation. For this reason, many contemporary presentations of natural deduction depart from Gentzen and include …

  • The Deduction Theorem (Before and After Herbrand)

    Curtis Franks•ARTICLE•History and Philosophy of Logic•2021

    Attempts to articulate the real meaning or ultimate significance of a famous theorem comprise a major vein of philosophical writing about mathematics. The subfield of mathematical logic has supplie

No prominent works on this page.

  • The Deduction Theorem (Before and After Herbrand)

    Curtis Franks•ARTICLE•History and Philosophy of Logic•2021

    Attempts to articulate the real meaning or ultimate significance of a famous theorem comprise a major vein of philosophical writing about mathematics. The subfield of mathematical logic has supplie

  • Disjunctive syllogism

    Open Access•Curtis Franks•ARTICLE•Synthese•2025•References: 15

    The inference pattern known as disjunctive syllogism (DS) appears as a derived rule in Gentzen’s natural deduction calculi ni and nk . This is a paradoxical feature of Gentzen’s calculi in so far as DS is sometimes thought of as appearing intuitively more elementary than the rules $$\vee $$ E, $$\lnot $$ E, and EFQ that figure in its derivation. For this reason, many contemporary presentations of natural deduction depart from Gentzen and include …

Logic, programming, and type systems (2 works) · Mathematical economics (2 works) · Mathematics (2 works) · Advanced Algebra and Logic (1 work) · Algorithm (1 work) · Automated theorem proving (1 work) · Calculus (dental) (1 work) · Characterization (materials science) (1 work) · Discrete mathematics (1 work) · Epistemology (1 work)

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