‎Matemáticas‎

‎"NEUMANN, JOHN von.‎

‎Einige Bemerkungen zur Diracschen Theorie des relativistischen Drehelektrons.‎

‎Berlin, Julius Springer, 1927. 8vo. Contemp. hcloth. Gilt lettering to spine. In: ""Zeitschrift für Physik"" Vol. 48. VIII,891 pp. (Entire volume offered). Neumann's paper: pp. 868-881. A stamp to titlepage. Clean.‎

‎First printing of a famous paper in which Neumann extends the relativistic wave equation of the electron set forth by Dirac earlier the same year and Neumann here gives the five fundamental covariants of the Dirac theory.""Von Neumann’s most famous work in theoretical physics is his axiomatization of quantum mechanics. When he began work in that field in 1927, the methods used by its founders were hard to formulate in precise mathematical terms"" ""operator"" on ""functions"" were handled without much consideration of their domain or definition to their topological properties: and it was blithely assumed that such ""operators,"" when self-adjoint, could always be ""diagonalized"" (as in th finite dimensional case), at the expense of introducing ""Dirac functions"" as ""eigenvectors."" Von Neumann showed that mathematical rigor could be restored by taking as basic axioms the assumptions that the states of a physical system were poinds of a Hilbert space and that the measurable quantities were Hermitian (generally unbounded) operators densely efined in that space.""(DSB).‎

Referência livreiro : 48882

‎HAUGSTED, FRIDERICUS CHRISTIANUS.‎

‎Thymi in homine ac per seriem animalium descriptio anatomica-physiologicae‎

‎Hauniae [Copenhagen], 1831. 8vo. In the original printed boards. A few occassional brown spots, otherwise a fine copy. (6), 135, (1) pp + 3 folded plates.‎

‎First printing of Haugsted's early work on the thymus.‎

Referência livreiro : 48887

‎"KARHUNEN, KARI.‎

‎Über die Struktur stationärer zufälliger Funktionen.‎

‎Stockholm, Almqvist & Wiksells Boktryckeri AB, 1949. 8vo. In the original printed wrappers. Offprint from: ""Arkiv för matemativ, Utgivet av Kungl. Svenska Vetenskapsakademien"", Band 1, Nr 13. Previous owner's name to top of front wrapper. Pp. 141-160.‎

‎Scace offprint of Karhunen's paper on the structure of stationary random functions. Karhunen is famous for the Karhunen-Loève theorem and Karhunen-Loève transform.‎

Referência livreiro : 48891

‎"HOEM, JAN.‎

‎On the Optimality of Modified Minimum Chi-Square Analytical Graduation.‎

‎(Copenhagen), 1976. 8vo. Without wrappers (as issued). Offprint from ""Scand. J. Statist 3"", 1977: 1-20. A very fine and clean copy. 20 pp.‎

‎Offprint of Hoem's paper on Chi-Square analytical graduation. Hoem is best known for his work on event-history analysis - contributions that have helped shape demographic methodology.‎

Referência livreiro : 48893

‎"KRUSKAL, WILLIAM.‎

‎Helmert's Distribution.‎

‎[No place, no printer], 1946. 8vo. In the original printed wrappers. Offprint from: ""American Mathematical Monthly"", Vol. LIII, No. 8, 1946. A very fine and clean copy. Pp. 435-38.‎

‎Offprint of William Henry Kruskal first published paper. Kruskal, American mathematician and statistician, is famous for having formulated the Kruskal-Wallis one-way analysis of variance (together with W. Allen Wallis), a widely-used nonparametric statistical method.‎

Referência livreiro : 48895

‎"HUMBERT, MARIE-GEORGES.‎

‎Sur les courbes algébriques planes rectifiables (+) Sur quelques propriétés des aires sphériques (+) Sur le théorème d'Abel et quelques-unes de ses applications a la geometrie (+) Sur une classe de courbes planes, et sur une surface remarquable du qua...‎

‎Paris, Gauthier-Villars, 1888-1890 4to. Bound with the front wrappers in contemporary half cloth. In ""Journal de Mathématiques pures et appliquées"". With two paper labels to spine and with the author's name to top of each wrapper. A stamp to front free end paper and first wrapper. Otherwise fine.‎

‎First appearance of this collection of important papers which, amongst others, contains the questions to whether the involutes are algebraic.""Besides his two pedagogical works, it was through numerous memoirs (approximately 150, which have been collected) that Humbert held a major place in the mathematical discovery and production of his time. His writings were inspired by his interest in the study of algebraic curves and surfaces and were marked by the lucidity with which he related the problems biography in encountered in this area to questions of analysis and number theory.He thus enriched analysis and gave the complete solution of the two great questions of the transformation of hyperelliptic functions and of their complex multiplication. He also pointed out the resulting consequence: the existence of a group of transformations of certain surfaces into themselves constitutes an essential difference between the geometry of surfaces and that of curves. But, most important, he completed the work of Hermite by pursuing the applications to number theory throughout his life.""The present volume also contain contribution by Caspary and Hilbert.‎

Referência livreiro : 49018

‎"JACOBI, C. G. J.‎

‎Ueber die integration der partiellen differentialgleichungen erster ordnung.‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 317-329 [Entire extract: Pp. 307-346 ].‎

‎First appearance of Jacobi's paper on the integration of partial differential equations of first order.""Most of Jacobi's fundamental research articles in the theory of elliptic functions, mathematical analysis, number theory, geometry, and me-chanics were published in Crelle's Journal fue die reine and angewandte Mathematik. With an average of three articles per volume, Jacobi was one of its most active contributors and quickly helped to establish its international fame. Yet his tireless occupation with research did not impair his teaching. On the contrary- never satisfied to lecture along trodden paths, Jacobi presented the substance of his own investigations to his students. He would lecture up to eight or ten hours a week on his favorite subject, the theory of elliptic functions, thus demanding the utmost from his listeners. He also inaugurated what was then a complete novelty in mathematics-research seminars-assembling the more advanced students and attracting his nearest colleagues."" (DSB).‎

Referência livreiro : 49049

‎"LIOUVILLE, JOSEPH. - THE EXISTANCE OF TRANSCENDENTAL NUMBERS PROVED.‎

‎Remarques... à des classes très-étendues de quantités dont la valeur n'est ni rationelle ni méme réductible à des irratonnelles algébriques... à un passage du livre des principes ou Newton... (Séance du Lundi 13 mai 1844). (+) Nouvelle démonstratio...‎

‎(Paris, Bachelier), 1844 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 18, No 20 a. 21. Pp. (883-) 898 a. pp. (899-) 960. (Entire issues offered). Liouville's papers: pp. 883-885 a. 910-911.‎

‎First printing of the papers in which Liouville proved the existence of transcendental numbers. ""J. Liouville..... invented a method (1844) for constructing any one of an extensive class of transcendental numbers. His numbers were the first to be proved transcendental" Hermite's proof of the transcendence of e ... followed in 1873" F. Lindemnn's for pi in 1882.""(Bell ""Development of Mathematics"", p. 275).Liouville showed that not only are these numbers irrational, they are always transcendental. Thus he was the first to prove the existence of transcendental numbers and also that there were an infinite number of them. Liouville suggested that e was transcendental, and provided the first example of a provably transcendental number, now known as Liouville’s constant.Parkinson ""Breakthroughs"", 1844 M.‎

Referência livreiro : 49077

‎"GUDERMANN, CHRISTOPH.‎

‎Potential oder zyklisch-hyperbolische Funktionen I - II.‎

‎(Berlin, G. Reimer, 1832) 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 8. Band, 1832"", without backstrip. Fine and clean. pp. 64-116"" Pp. 194-212.‎

‎First printing of Gudermann extensive and important papers on hyperbolic functions. During 1830ies Gudermann focused his work on these functions and published extensive on the subject. It was later coined the Gudermannian function.The function was introduced by Johann Heinrich Lambert in the 1760s at the same time as the hyperbolic functions. He called it the ""transcendent angle,"" and it went by various names until 1862 when Cayley suggested it be given its current name as a tribute to Gudermann's work in the 1830ies on the theory of special functions. The present paper together with two later published papers were collected in Theorie der potenzial- oder cyklisch-hyperbolischen functionen (1833), a book which expounded sinh and cosh to a wide audience.The issue also contain a paper by the famous Norwegian mathematician Niels Henrik Abel.""Gudermann devoted much more attention to the theory of special functions. After the earlier works of Leonhard Euler, John Landen, and A. M. Legendre (Gauss's results were still in manuscript), Niels Abel's studies on elliptical functions, published mostly in A. L. Crelle's Journal für reine und angewandte Mathematik, represented an important divide in treating this area. In 1829 Carl Jacobi's book Fundamenta nova theoriae functionum ellipticarum was published. At the time Gudermann was one of the first mathematicians to expand on these results. Beginning with volume 6 (1830) of Crelle's Journal, he published a series of papers which he later summarized in two books: Theorie der Potenzialoder cyklisch-hyperbolischen Functionen (1833) and Theorie der Modular-Functionen und der Modular-Integrale (1844), which were to have had a sequel which was never written."" (DSB). Gudermann is known today for being the teacher of Karl Weierstrass, who took Gudermann's course in elliptic functions in 1839, the first to be taught in any institute. Weierstrass was greatly influenced by this course, which marked the direction of his own research.‎

Referência livreiro : 49082

‎"CHURCH, ALONZO.‎

‎Norwood Russell Hanson. A note on the Gödel theorem (+) David Perlman. A milestone in math - professor's new concept (+) Benson Mates. Stoic Logic.‎

‎[No place], The Journal of Symbolic Logic, 1967. 8vo. In the original printed wrappers. In ""Journal of Symbolic Logic"", Vol. 28, Number 4. December, 1963. Entire issue offered. A very fine and clean copy. Pp. 295 [Entire issue: Pp. 273-346, VI. ].‎

‎First printing of three short reviews by Alonzo Church.‎

Referência livreiro : 49084

‎"EULER, LEONHARD.‎

‎Exposition de quelques paradoxes dans le Calcul Intégral. (Explanation of certain paradoxes in integral calculus).‎

‎(Berlin, Haude et Spener, 1758). 4to. No wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"" Tome 12 (1756), pp. 300-321 a. 1 folded engraved plate.‎

‎First edition. Euler looks at singular integrals of differential equations (derivation through differentiation"" proof that these integrals are not included in the general solution.) Enestroem: 236. - Also with Euler le Fils: ""Des Cerfs - Volans"", pp. 322-364 a. 1 plate.‎

Referência livreiro : 49129

‎"HUSSERL, EDMUND.‎

‎Formale und transzendentale Logik. Versuch einer Kritik der logischen Vernunft. Sonderabdruck aus: ""Jahrbuch für Philosophie und phänomenologische Forschung"", Bd. X. Herausgegeben von E. Husserl, Freiburg I. Br. - [THE FINAL CONCEPTION OF LOGIC]‎

‎Halle, Niemeyer, 1929. 4to. A bit later blue full fabrikoid binding. Gilt lettering to spine. Clean and fresh copy. Old owner's signature to title-page. XI, (1), 298 pp.‎

‎First edition of Husserl's seminal work, which contains his philosophy of logic and mathematics. This important work entitled ""Formal and Transcendental Logic"" with the sub-title ""An Attempted Critique of the Logic Reason"" provides us with Husserl's final conception of logic. Though now famous as the father of phenomenology, Husserl was initially a student of mathematics, and in his two first works ""Über den Begriff der Zahl"" and ""Philosophie der Aritmetik"", his early philosophy is developed on the basis of mathematics with the aim to provide a sound foundation for mathematics by combining it with philosophy and psychology. His main work from 1900-1901, Logische Untersuchungen"", probably one of the two most important and influential philosophical works of the 20th century, Husserl establishes a philosophy that asks the question of the essence of the matter of perception as opposed to the form of perception, as well as the meaning of the difference between formal or pure and material laws, truths and determinations, -all based on his strong interest in the relationship between the formalities of arithmetic and of logic.However, it is in his ""Formal and Transcendental Logic"" that Husserl most thoroughly introduces us to the formal character of logic and formulates his final conception of it. According to Husserl, logic is formal, because it is nothing more than the development of pure reason, and pure reason is a formal concept. As such, logic for Husserl becomes the self-interpretation of pure reason (die Selbstauslegung der reinen Vernunft) which is, again, a formal activity. Husserl also determines that there are two formal ways of conceiving logic, one being a tool for judging sentences true or false, and another, which includes knowledge.And so, this work not only provides us with a genetic-phenomenological investigation of philosophy and of the basis of logic, but it also provides us with an insight into the entire inner systematic structure of late Husserlian thought.‎

Referência livreiro : 49150

‎[NOVA ACTA ERUDITORUM]‎

‎Nova Acta Eruditorum MDCCLX [1760].‎

‎Leipzig, Gleditschii & Lanckisii, 1760. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. Occassional brownspots throughout, otherwise fine. (4), 622, (28) pp + 2 plates.‎

‎First edition of Acta Eruditorum 1760 containing many reviews by influential contemporary mathematicians, philosophers and historians.‎

Referência livreiro : 49307

‎[ACTA ERUDITORUM]‎

‎Indices generales autorum et rerum sexti Actorum Eruditorum.‎

‎Leipzig, Lanckisii, Gleditschii & Blochbergerum, 1745. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. Occassional brownspots throughout, otherwise fine.‎

‎First printing of this index volume of Acta Eruditorum 1745.‎

Referência livreiro : 49311

‎[ACTA ERUDITORUM]‎

‎Indices generales autorum et rerum sexti Actorum Eruditorum.‎

‎Leipzig, Grossii, Gleditschii & Fritschium, 1714. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. Occassional brownspots throughout, otherwise fine.‎

‎First printing of this index volume of Acta Eruditorum 1714.‎

Referência livreiro : 49313

‎"DIRICHLET, LEJEUNE (+) DEDEKIND.‎

‎Untersuchungen über ein Problem der Hydrodynamik [Dirichlet] (+) Zusatz zu der vorstehenden Abhandlung [Dedekind].‎

‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1861, band 58. Without backstrip. Fine and clean. Pp. 181-228.‎

‎First printing of these two important papers on gravitational interaction from bodies, such pseudo-rigid bodies, thereby ""opened a new direction"", a direction which later inspired Riemann to turn his attention to the problem""Without the gravitational interaction from another body, such pseudo-rigid bodies havereceived attention in many references. The interest was initiated by Newton in Principia, where he showed that a spinning axi-symmetric self-gravitating body of ?uid that is rotating slowly about the symmetry axis will be oblate. Jacobi in 1834 extended the work of Newton, but also work of Maclaurin, to show that a self-gravitating ?uid also can take on ellipsoidal shapes. The solutions of Jacobi, Maclaurin and Newton were, however, still all rigid. In a frame rotating with the body the ?uid is stationary. Dirichlet and Dedekin, [in the present two papers], respectively, opened a new direction when they found a symmetry that applied to Jacobi's solution generated a new solution in which the body isstationary in shape but the ?uid particles follow elliptical paths in planes orthogonal to a principle axis of the ellipsoid. Dirichlet's paper inspired Riemann to turn his attention to the problem. He gave a classi?cation of the solutions of Dirichlet's equations for which the ellipsoidal shape of the body remains constant. At the heart of this classi?cation lies what is now known as Riemann's theorem: the angular velocity and circulation (i) lie in the same principle plane and (ii) if the angular velocity is parallel to a principle axis then the circulation vector must also lie along that same principle axis."" (Kristiansen, The two-body problem of a pseudo-rigid body and a rigid sphere)‎

Referência livreiro : 49315

‎"LUSIN, N. [LUZIN].‎

‎Sur le probléme de M. J. Hadamard d'uniformisation des ensembles.‎

‎[Paris, Gauthier-Villars, 1930.] 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 190, No 6, Entire issue offered. No backstrip, stamp to first leaf. Pp. 349-51. [Entire issue: Pp. 337-408].‎

‎First printing of Lusin's important paper on uniformization in set theory. ""The more fundamental uniformization property was introduced in [the present paper]. Lusin established there some difficult uniformization theorems"". (Moschovakis, Descriptive Set Theory)‎

Referência livreiro : 49340

‎[ACTA ERUDITORUM]‎

‎Indices generales autorum et rerum Quniti Actorum Eruditorum.‎

‎Leipzig, Grossii, Gleditschii & Martini, 1733. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. Occassional brownspots throughout, otherwise fine.‎

‎First printing of this index volume of Acta Eruditorum 1733.‎

Referência livreiro : 49344

‎"CAYLEY, A.‎

‎Note sur la transformation de Tschirnhausen (+) Deuxième sur la transformation de Tschirnhausen.‎

‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1861, band 58. Without backstrip. Fine and clean. Pp. 259-69.‎

‎First apperance of these two papers in which Cayley obtained the transformed equations for the cubic and quartic equations.‎

Referência livreiro : 49346

‎[NOVA ACTA ERUDITORUM].‎

‎Nova Acta Eruditorum. Supplementa. Tomus IV. 1742.‎

‎Leipzig, Grossiim, Gleditschii & Weidemannum, 1742. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. Occassional brownspots throughout, otherwise fine. (2), 552, (32) pp.‎

‎First edition containing many reviews by influential contemporary mathematicians, philosophers and historians.‎

Referência livreiro : 49349

‎[NOVA ACTA ERUDITORUM].‎

‎Nova Acta Eruditorum MDCCXLI [1741].‎

‎Leipzig, Grossii, Gleditschii & Weidemannum, 1741. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. Occassional brownspots throughout, otherwise fine. (6), 720, (42) pp.‎

‎First edition containing many papers and reviews by influential contemporary mathematicians, philosophers and historians.‎

Referência livreiro : 49352

‎NIELSEN, NIELS.‎

‎Recherches dur quelque généralisations d'une Identité intégral D'Abel.‎

‎K., 1907. 4to. 36 pp.‎

Referência livreiro : 3622

‎BRIOT, CHARLES AUGUSTE. & BOUQUET, JEAN-CLAUDE.‎

‎Théorie des fonctions doublement périodiques et, en particulier, des fonctions elliptiques.‎

‎Paris, Mallet-Bachelier, 1859. 8vo. Contemporary half calf. XXIV,342 pp.‎

‎First edition of this important textbook on function theory. Charles Auguste Briot (1817-1882) was one of the most eminent teachers of his time. Already during his time in elementary school Briot had decided that he wanted to be a mathematics teacher. He entered the École Normale Supériure in 1838 were he was ranked second. Just three years later he received agrégation in mathematics with the highest rank. In March 1842 he received his doctorate of science, having presented his thesis on the movement of a solid body round a fixed point. Despite his marked academic success in research, Briot still wanted to follow his chosen career as a teacher. He first obtained a professorship at the Orléans Lycée and afterward at University of Lyons, where he re-encountered his school friend Jean-Claude Bouquet, with whom he collaborated throughout his career.During the years 1814-1831 Agustin Cauchy created the basic framework of complex function theory. The results obtained by Cauchy were, however, still only to be found throughout his numerous journal papers, and although Cauchy is known for having stimulated the development of mathematical rigor throughout the field, his own research papers often used intuitive, not rigorous, methods. The joint scientific work of Briot and Bouquet was a profound study and clarification of the analytic work of Cauchy. In a memoire that has remained famous since its publication in 1853, they proposed to establish precisely the conditions that a function must fulfill in order to be developable into an entire series. They also perfected the analysis by which Cauchy had, for the first time, established the existence of the integral of a differential equation. They opened the way to research on singular points and showed their importance for knowledge of the integral. All this work culminated in their extremely influential text book 'Théorie des fonctions doublement périodiques et, en particulier, des fonctions elliptiques'. This work played a decisive role in spreading Cauchy's methods and results to European mathematicians, and for a long time it remained the standard text of the French School. It was translated into German in 1862, and went through several editions. For his outstanding contributions to mathematics the Académie des Sciences in Paris awarded Briot their Poncelet Prize in 1882 shortly before he died.‎

Referência livreiro : 36355

‎"HINTIKKA, JAAKKO.‎

‎Knowledge and Belief. An Introduction to the Logic of the two Notions. - [FOUNDING CONTEMPORARY EPISTEMIC LOGIC]‎

‎Ithaca, New York, Cornell University Press, (1962). 8vo. Orig. full blue cloth w. blue lettering to spine and front board. A bit of bumping to capitals. Original blue dust-jacket w. red lettering. Spine faded and some minor wear to capitals. A tear to front of dust-jacket, no loss. Not price-clipped. Old owner's name to front free end-paper. Internally very nice and clean. A very good copy. X, 179 pp.‎

‎The uncommon first edition, first issue of Hintikka's seminal main work, which also constitutes the main work of contemporary epistemic logic.The Finnish born philosopher and logician, Jaakko Hintikka (born 1929), Professor of Philosophy at the University of Boston, is generally accepted as the founder of formal epistemic logic and of game semantics for logic. He has contributed seminally to the fields of philosophical and mathematical logic, philosophy of mathematics and science, language theory and epistemology. Independently of Evert Willem Beth he discovered the semantic tableau, and he is famous for his work on game semantics and logical quantifiers. In 2005 Hintakka was awarded the Schock Prize in logic and philosophy, the philosophical equivalent to the Nobel prize, ""for his pioneering contributions to the logical analysis of modal concepts, IN PARTICULAR THE CONCEPTS OF KNOWLEDGE AND BELIEF "". The first edition of this seminal work, which has founded contemporary epistemic logic, is very difficult to find. The work was reprinted three times between 1962 and 1969, but after that the work was only printed again in 2005.""In 1962 Jaakko Hintikka published ""Knowledge and Belief: An Introduction to the Logic of the Two Notions"" with Cornell University Press. Almost every paper or a book on epistemic and doxastic logic that has appeared since then has referred to this seminal work. Although many philosophers working in logic, epistemology, game-theory, economics, computer science and linguistics mention the book, it is very likely that most have never literally had their hands on it, much less owned a copy. After a fourth printing in 1969, Knowledge and Belief went out of print and as many of us have found to our dismay, it has become increasingly difficult to find used copies at our local shops or online. It is our pleasure to provide the interdisciplinary community with this reprint edition of Knowledge and Belief."" (Abstract of the re-issue edition, Prepared by Vincent F. Hendricks & John Symons, King's College Publications, 2005).In this breakthrough work, Hintikka sets out to understand and explain the logical behavior of the two fundamental epistemological notions, Knowledge and belief. ""The word ""logic"" which occurs in the subtitle of this work is to be taken seriously. My first aim is to formulate and to defend explicit criteria of consistency for certain sets of statements - criteria which, it is hoped, will be comparable with the criteria of consistency studied in the established branches of logic. What the statements in question are like is also indicated in the title [...]"" (Chapter One, Prolegomena, p.3).""Knowledge and Belief"" has been extremely influential from the time of its appearance and continues to be so to this day, also due to the fact that epistemic logic has greatly influenced the fields of game theory, artificial intelligence and distributed computing.‎

Referência livreiro : 36631

‎"HINTIKKA, JAAKKO.‎

‎Knowledge and Belief. An Introduction to the Logic of the two Notions.‎

‎Ithaca, New York, Cornell University Press, (1967). 8vo. Orig. full blue cloth w. blue lettering to spine and front board. Original blue dust-jacket w. red lettering. Dust-jacket w. a long tear to lower back hinge, crossing spine. A few tears and general wear. Price-clipped. Internally very nice and clean. X, 179 pp.‎

‎First edition, third printing of Hintikka's seminal main work, which also constitutes the main work of contemporary epistemic logic.The Finnish born philosopher and logician, Jaakko Hintikka (born 1929), Professor of Philosophy at the University of Boston, is generally accepted as the founder of formal epistemic logic and of game semantics for logic. He has contributed seminally to the fields of philosophical and mathematical logic, philosophy of mathematics and science, language theory and epistemology. Independently of Evert Willem Beth he discovered the semantic tableau, and he is famous for his work on game semantics and logical quantifiers. In 2005 Hintakka was awarded the Schock Prize in logic and philosophy, the philosophical equivalent to the Nobel prize, ""for his pioneering contributions to the logical analysis of modal concepts, IN PARTICULAR THE CONCEPTS OF KNOWLEDGE AND BELIEF "". The first edition of this seminal work, which has founded contemporary epistemic logic, appeared in 1962 and is very difficult to find. The work was reprinted three times between 1962 and 1969, but after that the work was only printed again in 2005. The second issue appeared in 1964 and the third in 1967.""In 1962 Jaakko Hintikka published ""Knowledge and Belief: An Introduction to the Logic of the Two Notions"" with Cornell University Press. Almost every paper or a book on epistemic and doxastic logic that has appeared since then has referred to this seminal work. Although many philosophers working in logic, epistemology, game-theory, economics, computer science and linguistics mention the book, it is very likely that most have never literally had their hands on it, much less owned a copy. After a fourth printing in 1969, Knowledge and Belief went out of print and as many of us have found to our dismay, it has become increasingly difficult to find used copies at our local shops or online. It is our pleasure to provide the interdisciplinary community with this reprint edition of Knowledge and Belief."" (Abstract of the re-issue edition, Prepared by Vincent F. Hendricks & John Symons, King's College Publications, 2005).In this breakthrough work, Hintikka sets out to understand and explain the logical behavior of the two fundamental epistemological notions, Knowledge and belief. ""The word ""logic"" which occurs in the subtitle of this work is to be taken seriously. My first aim is to formulate and to defend explicit criteria of consistency for certain sets of statements - criteria which, it is hoped, will be comparable with the criteria of consistency studied in the established branches of logic. What the statements in question are like is also indicated in the title [...]"" (Chapter One, Prolegomena, p.3).""Knowledge and Belief"" has been extremely influential from the time of its appearance and continues to be so to this day, also due to the fact that epistemic logic has greatly influenced the fields of game theory, artificial intelligence and distributed computing.‎

Referência livreiro : 36633