Gino Loria

From THE LOGIC OF DISCOVERY, 1930 by Robert Daniel Carmichael

In his Mathematical Philosophy, as we have seen, Professor Cassius J. Keyser has brought to crystal clearness one of the most fundamental notions arising in connection with the modern critical scrutiny of the foundation of mathematics, and has given to it a suggestive name so aptly chosen as to be assured of a permanent place in the literature of mathematics. This is the notion of the doctrinal function. It is abstract in character and somewhat difficult to grasp ; but it is so important in the analysis of exact thought that no one interested in a precise understanding of the nature of logical expositions of truth can afford to remain ignorant of it. The notion itself has been long in the process of formation and must have been present with greater or less clarity to the minds of many thinkers. It is implicit in every abstract postulational treatment of a body of truth. An important impulse towards its development was already present in the geometry of Euclid. But the more immediate source of the notion is in the modern critical analysis of the postulational foundations of the several branches or divisions of mathematics. Professor Keyser's contribution consists in his having seized upon a notion which was more or less clear in the minds of many people and in his having brought it out explicitly by a clear definition and having given to it a name so aptly chosen as to seem perfectly fitted to the thing so named. Indeed, my judgment accords fully with that expressed by the eminent Italian mathematician, Professor Gino Loria : "It is my opinion that the notion of Doctrinal Function deserves to be henceforth incorporated in every philosophic exposition of the foundations of mathematics."

Chicago-London : Open Court 1930, pages 147-8.

Loria, Gino. Title Le scienze esatte nell' antica Grecia / Gino Loria. Publisher Milano : Istituto editoriale cisalpino-goliardica, c1987. Description xxiv, 969 p. : ill. ; 16 cm. Series Cisalpino-Goliardica ;109 ISBN 8820505606 Language Italian Note Reprint. Originally published: Milano : U. Hoepli, 1914. Includes a reproduction of the t.p. of the 1914 ed. Includes index.

Loria, Gino. Title Galileo Galilei / Gino Loria. Publisher Milano : Cisalpino-Goliardica, 1977. Description x, 145 p., 24 leaves of plates : ill., facsim., ports. ; 17 cm. Series Collezione Hoepli Language Italian Note Reprint of the 1938 edition published by U. Hoepli, Milano. Includes index. Note Bibliography: p. 139. Subject Galilei, Galileo, 1564-1642.

Loria, Gino. Title Storia delle matematiche dall'alba della civilt� al secolo xix. Publisher Milano, U. Hoepli, 1950. Description xxxv, 975 p. diagrs. 25 cm. Language Italian Note Includes bibliographies.

Roever, William Henry, 1874-1951. Title The axonometric method of descriptive geometry. Publisher St. Louis, 1949. Description v, 75 p. diagrs. 28 cm. Language English Note The first part, Representations and solutions in orthographie axonometric descriptive geometry, is a free translation from Loria's Vorlesungen �ber darstellende Geometrie.

Loria, Gino. Title Guida allo studio della storia delle matematiche; generalit� didattica, bibliografia. Appendice: Questioni storiche concernenti le scienze esatte. Publisher Milano, U. Hoepli, 1946. Description xix,385p. 21cm. Language Italian

Roever, William Henry, 1874-1951. Title Fundamental theorems of orthographic axonometry and their value in picturization. Publisher St. Louis, Washington University, 1941. Description 47 p. 24 cm. Series Washington University. Washington University studies. New series. Science and technology ;no. 12 Language English

Roever, William Henry, b. 1874. Title The weight field of force of the earth. Publisher St. Louis, 1940. Description 84 p. diagrs. 24 cm. Series Washington University studies. New series. Science and technology. no. 11 Language English Note Bibliographical footnotes.

Loria, Gino. Title Scritti, conferenze, discorsi sulla storia delle matematiche, raccolti per iniziativa e pubblicati sotto gli auspici della Sezione ligure della societ� "Mathesis". Publisher Padova, Milani, 1937. Description xv, 589 p. incl. front. (port.) 26 cm. Language Italian Note "Elenco delle pubblicazioni del prof. G. Loria": p. [581]-589. Note Bibliographical foot-notes. Contents Per la storia e l'insegnamento dell matematiche.--Articoli storici.--Biografie.--Discorsi e conferenze.

Loria, Gino. Title Metodi matematici, essenza--tecnica--applicazioni. Con 51 figure nel testo. Publisher Milano, U. Hoepli, 1935. Description xv, 276 p. diagrs. 16 cm. Series Manuali Hoepli Language Italian Note Bibliographical foot-notes. Contents Metodi di carattere generale.--Metodi speciali alla geometria.--metodi particolari alle scienze del numero.

Roever, William Henry, b. 1874. Title The Mongean method of descriptive geometry, according to the procedure of Gino Loria ... adapted to American needs by William Henry Roever ... Publisher New York : The Macmillan Company, 1933. Description xiv p., 1 L., 151 p. diagrs. 21 cm. Series A series of mathematical texts Language English Note A revision of that portion of Professor Loria's work on the Mongean method in his Vorlesungen über darstellende geometrie, published by Teubner in 1907. cf. Pref. Subject Monge, Gaspard, 1746-1818.

Loria, Gino. Title Il passato e il presente delle principali teorie geometriche, storia e bibliografia. Publisher Padova, A. Milani, 1931. Description 2 p. l., [vii]-xxiii, 467 p. 25 cm. Language Italian Note Contains bibliographies. Subject Geometry -- History. Geometry -- Bibliography. Format Book Library UCB 10 Details/Locations Author Loria, Gino. Title Curve piane speciali algebriche e trascendenti; teoria e storia / Gino Loria. Publisher Milano, U. Hoepli, 1930. Description 2 v. diagrs. 8vo. Language Italian Note Bibliographical footnotes. Format Book Library UCB NRLF 11 Details/Locations Author Loria, Gino. Title Storia delle matematiche ... Con numerose figure nel testo. Publisher Torino, Sten, Societ� tipografico-editrice nazionale, 1929-33. Description 3 v. illus., diagrs. 19 cm. Series Storia delle scienze.6-8 Language Italian Note Bibliography at end of each chapter. Contents I. Antichit�. Medio evo. Rinascimento. 1929.--II. I secoli XVI e XVII. 1931.--III. Dall'alba del secolo XVIII al tramonto del secolo XIX. 1933. Subject Mathematics -- History. Format Book Library UCB NRLF UCLA 12 Details/Locations Author Loria, Gino. Title Histoire des sciences math�matiques dans l'antiquit� hell�nique, par Gino Loria. Publisher Paris, Gauthier-Villars, 1929. Description iii, 215 p. front. 19 cm. Series Science et civilisation Language French Note "Bibliographie": p. [207]-215. Subject Mathematics, Greek. Mathematics -- History. Format Book Library NRLF SRLF 13 Details/Locations Author Loria, Gino. Title Archimede, la scienza che domin� Roma. Publisher Milano, 1928. Description 70 [2] p. 4 plates. 18 cm. Series I curiosi della natura.Ser. 1.3 Language Italian Subject Archimedes. Format Book Library NRLF 14 Details/Locations Author Loria, Gino. Title Curve sghembe speciali ; algebriche e trascendenti. Publisher Bologna : N. Zanichelli [1925] Description 2 v. : diagrs. ; 24 cm. Language Italian Note Preface dated 1921. At end: Finito di stampare in Firenze nella tipografia "Enrico Ariani"...MCMXXV. Note Bibliographical foot-notes. Subject Curves, Algebraic. Curves, Transcendental. Format Book Library UCB NRLF SRLF 15 Details/Locations Author Loria, Gino. Title Pagine di storia della scienza / Gino Loria. Publisher Torino : G.B. Paravia, [1924] Description xv, 151 p. ; 20 cm. Series Biblioteca Paravia "Storia e pensiero" ;n. 4 Language Italian Note Preface dated 1924. Note Includes bibliographical references. Subject Science -- History. Science -- Philosophy. Format Book Library NRLF 16 Details/Locations Author Loria, Gino. Title Storia della geometria descrittiva : dalle origini sino ai giorni nostri / Gino Loria. Publisher Milano : U. Hoepli, 1921. Description xxiv, 584 p. : ill. ; 16 cm. Series Manuali Hoepli Language Italian Note Includes bibliographical references and index. Subject Geometry, Descriptive -- History. Format Book Library UCLA NRLF 17 Details/Locations Author Loria, Gino. Title Newton. Publisher Roma, 1920. Description 69 p. front. 17 cm. Series Profili,52 Language Italian Note "Bibliografia": p. [65]-69. Subject Newton, Isaac, Sir, 1642-1727. Format Book Library NRLF 18 Details/Locations Author Torricelli, Evangelista, 1608-1647. Title Opere di Evangelista Torricelli, edite in occasione del III centenario della nascita col concorso del Comune di Faenza da Gino Loria e Giuseppe Vassura. Publisher Faenza, G. Montanari, 1919-1944. Description 4 v. in 5. illus. 25 cm. Language Italian Contents I. Geometria, pte. 1-2. 2 v.--II. Lezioni accademiche. Mecconica. Scritti vari.--III. Racconto d'alcuni problemi. Carteggio scientifico.--IV. Documenti alla vita-Documenti alle opere appendice. Subject Science. Mathematics. Format Book Library UCB NRLF 19 Details/Locations Title Scritti matematici offerti ad Enrico d'Ovidio in occasione del suo LXXV genetliaco, 11 agosto 1918, dai E. Almansi, G. Bernardi, M. Bottasso...[and others] e pubblicati per cura di Francesco Gerbaldi e Gino Loria. Publisher Milano, Bocca, 1918. Description xv. 386 p. front. (port.) 25 cm. Language Italian Note "Elenco delle pubblicazioni di Enrico d'Ovidio": p. [ix]-xv. Subject Mathematics. Format Book Library NRLF 20 Details/Locations Author Loria, Gino. Title ... Guida studio della storia delle matematiche di Gino Loria... Publisher Milano, U. Hoepli, 1916. Description 2 p. l., [vii]-xvi, 228 p. 15 cm. Series Manuall Hoepli Language Italian Loria, Gino. Title Le scienze esatte nell'antica Grecia. Publisher Milano, Hoepli, 1914. Description 969 p. illus. 16 cm. Series Manuali Hoepli Language Italian Subject Mathematics, Greek. Format Book Library NRLF 22 Details/Locations Author Loria, Gino. Title Cultura classica e scienza moderna; discorso pronunziato il giorno 4 Noviembre 1912 per la solenne inaugurazione dell' anno accademico 1912-13 nell' aula magna della R. universita di Genova da Gino Loria. Publisher Genova, E. Oliveri, 1912. Description 33 p. 32 cm. Language Italian Format Book Library NRLF 23 Details/Locations Author Loria, Gino. Title Spezielle algebraische und transzendente Ebene Kurven; Theorie und Geschichte. Autorisierte, nach dem italienischen Manuskript bearbeitete deutsche Ausgabe, von Fritz Schütte. Publisher Leipzig, Berlin : Teubner, 1911. Description v. vi fold. pl. 23 cm. Series B.G. Teubners Sammlung von Lehrbüchern auf dem Gebiete der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen,Bd. 5, 2 Language German Subject Curves, Plane. Curves, Transcendental. Format Book Library SRLF NRLF 24 Details/Locations Author Loria, Gino. Title Spezielle algebraische und transzendente ebene Kurven; Theorie und Geschichte. Autorisierte, nach dem italienischen Manuskript bearbeitete deutsche Ausgabe, von Prof. Fritz Sch�tte ... Publisher Leipzig, Berlin, B.G. Teubner, 1910-11. Description 2 v. VI fold. pl. 23 cm. Series B.G. Teubners Sammlung von Lehrb�chern auf dem Gebiete der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen.Bd. 5, 2 Language German Subject Curves, Plane. Curves, Transcendental. Format Book Library UCB NRLF 25 Details/Locations Author Loria, Gino. Title Vorlesungen �ber darstellende Geometrie. Autorisierte, nach dem italienischen manuskript bearb. deutsche ausg. von Fritz Sch�tte. Publisher Leipzig, B. G. Teubner, 1907- Description v. diagrs. 23 cm. Series B. G. Teubners Sammlung von Lehrb�chern auf dem Gebiete der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen,Bd. 25 Language German Contents T. 1. Die Darstellungsmethoden.--T. 2. Anwendungen auf Ebenfl�chige Gebilde, Kurven und Fl�chen. Subject Geometry, Descriptive. Format Book Library UCB NRLF 26 Details/Locations Author Loria, Gino. Title Il passato ed il presente delle principali teorie geometriche. Publisher Torina, Carlo Clauson Hans Rinck, 1907. Description 475 p. Language Italian Note Includes bibl. Subject Geometry -- History. Geometry -- Bibliography. Format Book Library NRLF 27 Details/Locations Author Loria, Gino. Title Spezielle algebraische und transscendente ebene Kurven. Theorie und Geschichte. Autorisierte, nach dem italienischen Manuskript bearbeitete deutsche Ausgabe, von Fritz Sch�tte ... Mit 174 Figuren auf 17 lithographierten Tafeln. Publisher Leipzig, B.G. Teubner, 1902. Description xxi, 774 p. diagrs on XVII fold. pl. 23 cm. Series B.G. Teubner's Sammlung von Lehrb�chern auf dem Gebiete der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen.Bd. V Language German Note Bibliographic foot-notes. Subject Curves, Plane. Curves, Transcendental. Format Book Library NRLF 28 Details/Locations Author Loria, Gino. Title Le scienze esatte nell'antica Grecia. Publisher Modena : Società tipografica, 1893-1902. Description 5 v. diagrs. 33 cm. Language Italian Note Extracts from the Memorie della R. Accademia di scienze, lettere ed arti di Modena, sezione di scienze, serie II, v. X-XII. Contents 1. I geometri greci precursori d'Euclide.--2. Il periodo aureo della geometria greca.--3. Il substrato matematico della filosofia naturale dei Greci.--4. Il periodo argenteo della geometria greca.--5. L'aritmetica dei Greci. Subject Mathematics, Greek. Mathematics -- History. Format Book Library UCLA 29 Details/Locations Author Loria, Gino. Title Die hauptsachlichsten theorien der geometrie in ihrer fr�heren und heutigen entwickelung. Historische monographie von dr. Gino Loria. Unter benutzung zahlreicher zusatze und verbesserungen seitens des verfassers ins deutsche �bertragen von Fritz Sch�tte. Mit einem vorworte von professor R. Sturm. Publisher Leipzig, G.B. Teubner, 1888. Description 1 p. �., iv p., 1 �., 131, [1] p. 23 cm. Language German