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Academic Journal

Hilbert Mathematics Versus Gödel Mathematics. IV. The New Approach of Hilbert Mathematics Easily Resolving the Most Difficult Problems of Gödel Mathematics

Authors : Penchev, Vasil, D; Bulgaria Academy of Sciences = Académie des Sciences de Bulgarie (BAS)

Subjects: Fermat's last theorem (FLT) four-color theorem Gödel mathematics Hilbert arithmetic Hilbert mathematics Perelman's proof Poincaré's conjecture qubit Hilbert space quantum information Wiles's proof Yang-Mills existence and mass gap problem; Fermat's last theorem (FLT); four-color theorem

Source: EISSN: 1556-5068 ; SSRN Electronic Journal ; https://hal.science/hal-04237036 ; SSRN Electronic Journal, 2023, Philosophy of Science eJournal (Elsevier: SSRN), 16 (75), pp.1-52.

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Academic Journal

Hilbert Mathematics Versus Gödel Mathematics III ; Hilbert Mathematics Versus Gödel Mathematics III: Hilbert Mathematics by Itself, and Gödel Mathematics Versus the Physical World within It: both as Its Particular Cases

Authors : Penchev, Vasil; Bulgaria Academy of Sciences = Académie des Sciences de Bulgarie (BAS)

Subjects: energy conservation; Gödel mathematics; Hilbert mathematics

Source: EISSN: 1556-5068 ; SSRN Electronic Journal ; https://hal.science/hal-04090832 ; SSRN Electronic Journal, 2023, 16 (47), pp.1-46. ⟨10.2139/ssrn.4426040⟩

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Academic Journal

Identity, individuality and indistinguishability in physics and mathematics

Authors : Catren, Gabriel;

Subjects: quantum physics; gauge theories; homotopy type theory

Source: ISSN: 1364-503X ; EISSN: 1471-2962 ; Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

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Academic Journal

Mark Burgin's Contribution to the Foundation of Mathematics

Authors : Lev, Felix; Senior Scientist

Subjects: non-Diophantine arithmetic; foundation of mathematics; divergences

Source: ISSN: 2409-9287 ; Philosophies ; https://hal.science/hal-04399008 ; Philosophies, 2023, Special Issue in Memory of Professor Mark Burgin, 9 (8), Paper No. 8. ⟨10.3390/philosophies9010008⟩.

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Academic Journal

Identity, individuality and indistinguishability in physics and mathematics

Authors : Catren, Gabriel;

Subjects: quantum physics; gauge theories; homotopy type theory

Source: ISSN: 1364-503X ; EISSN: 1471-2962 ; Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

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Academic Journal

Students using programming for pure and applied mathematics investigations

Authors : Buteau, Chantal; Broley, Laura; Dreise, Kirstin ...

Subjects: Programming; Mathematics Investigation; Project-Based Learning

Source: Épijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur ; https://hal.science/hal-03601988 ; Épijournal de Didactique et Epistémologie des Mathématiques pour

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Academic Journal

Does Conceptual Transparency in Manipulatives Afford Place-Value Understanding in Children at Risk for Mathematics Learning Disabilities?

Authors : Lafay, Anne; Osana, Helena; Levin, Joel ...

Subjects: place value; manipulatives; affordance

Source: ISSN: 0731-9487 ; Learning Disability Quarterly ; https://hal.science/hal-03776432 ; Learning Disability Quarterly, 2023, 46 (2), pp.92-105. ⟨10.1177/07319487221124088⟩.

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