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Arithmetices Principia Nova Methodo Exposita by PEANO, GUISEPPE

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$16,500.00

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Seller: The Manhattan Rare Book Company

Title: Arithmetices Principia Nova Methodo Exposita
Author: PEANO, GUISEPPE
Seller: The Manhattan Rare Book Company (United States)
Condition: Fine
Description: Turin: Bocca Brothers, 1889. First edition. original wrappers. Fine. EXTREMELY RARE FIRST EDITION IN ORIGINAL WRAPPERS OF PEANO'S MOST IMPORTANT WORK, CONTAINING THE "PEANO AXIOMS" FOR THE NATURAL NUMBERS; OF SEMINAL IMPORTANCE IN MATHEMATICS AND MATHEMATICAL LOGIC. "Peano's most important contribution to the development of the theory and practice of the axiomatic method was his system of axioms for the arithmetic of the natural numbers... On the basis of his axiomatization, Peano constructed the entire theory of natural numbers. In particular, he showed how the elementary theorems of arithmetic can be obtained from his axioms" (Styazhkin, History of Mathematical Logic from Leibniz to Peano, 1969, pp. 278-9). With "the publication of Arithmetices principia, nova methodo exposita, Peano not only improved his logical symbolism but also used his new method to achieve important new results in mathematics; this short booklet contains Peano's first statement of his famous postulates for the natural numbers, perhaps the best known of all his creations. His research was done independently of the work of Dedekind, who the previous year had published an analysis of the natural numbers, which was essentially that of Peano but without the clarity of Peano... Arithmetices principia made important innovations in logical notation, such as Î for set membership and a new notation for universal quantification. Indeed, much of Peano's notation found its way, either directly or in a somewhat modified form, into mid-twentieth-century logic" (DSB). "Written in Latin, this small book was Peano's first attempt at an axiomatization of mathematics in a symbolic language ... after having introduced logical notations and formulas, Peano undertakes to rewrite arithmetic in symbolic notation. But he aspires to more than just the provision of a correct logical foundation for arithmetic: the book deals also with fractions, real numbers, and even the notion of limit and definitions in point-set theory... The initial arithmetic notions are 'number,' 'one,' 'successor' and 'is equal to,' and nine axioms are stated concerning these notions. Today we would consider that Axioms 2, 3, 4 and 5, which deal with identity, belong to the underlying logic. That leaves the five axioms that have become universally known as 'the Peano axioms'... The ease with which we read Peano's booklet today shows how much of his notation has found its way, either directly or in a somewhat modified form, into contemporary logic" (van Heijenoort, pp. 83-4). Peano's axioms were subsequently modified and republished by their creator in the five successive versions of his Formulaire and finally perfected in Whitehead and Russell's Principia Mathematica. "Peano's Arithmetices principia not only deals with the natural numbers. Having presented all of the basic arithmetical operations, Peano goes on to discuss several topics in order to 'better show the power of this [new] method'. First he offers a selection of number-theoretical results (without proof, art. 7) and then he introduces the rational and the real numbers. The rationals are rendered as ratios of two natural numbers (art. 8), the reals as formal 'limits' of sets of rationals, essentially following Dedekind's definition by means of cuts (art. 9) ... Finally, art. 10 discusses basic results in the topology of the real numbers, belonging to the theory of 'what Cantor calls Punktmenge (ensemble de points)', on the basis of the concepts of interior, exterior and limit point. Some of these results were new" (Landmark Writings in Western Mathematics, 1640-1940, pp. 622-3). Peano exerted a profound influence on Bertrand Russell and his work on the foundations of mathematics. "Principia Mathematica had its origins in Russell's discovery of the work of Peano at the International Congress of Philosophy held in Paris in the summer of 1900, which Peano and his supporters attended in force. To that time Russell had been working for several years attempting to develop a satisfactory philosophy of mathematics. Despite some philosophical successes ... a satisfactory outcome had always eluded him. At the conference, however, he very quickly realized that the Peano school had a set of techniques of which he could make use, and on his return from the conference he immediately set about applying them. As a result, he quickly rewrote The Principles of Mathematics, which he had started in 1899, finishing the new version by the end of the year. It was published, after some delay and substantial revisions of Part I, in 1903, billed as the first of two volumes. It was intended as a philosophical introduction to, and defence of, the logicist program that all mathematical concepts could be defined in terms of logic and that all mathematical theorems could be derived from purely logical axioms. It was to be followed by a second volume, done in Peano's notation, in which the logicist program would actually be carried out by providing the requisite definitions and proofs. At about the same time that Russell was finishing The Principles of Mathematics, he began the collaboration with his former teacher, Whitehead, that produced, many years later, Principia Mathematica" (The Palgrave Centenary Companion to Principia Mathematica, p. xvi). That this pamphlet was written Latin reveals a concern of Peano's: international accessibility. It was so important to him that he later devoted much of his time to the cause of the auxiliary international language, Interlingua. "In his mathematical writing, addressed to mathematicians at large, Peano changed over early on from his own language of Italian to French, which is more widely known; but even French is not fully international, and he looked back with regret to the time, not so very distant, when Latin had been the universal language of scholars" (Kneebone, Mathematical Logic and the Foundations of Mathematics, 1963, p. 149). Kennedy (Life and Works of Giuseppe Peano, p. 41), however, suggests that both the title and the language of composition were acts "of sheer romanticism, perhaps the unique romantic act of his scientific career". The Greek Arithmetices was perhaps meant to evoke Euclid, while Principia may have been a tribute to Newton. And writing in French, with which Peano was certainly familiar, would have made the book even more accessible to an international audience. DSB X: 442; Jean van Heijenoort: From Frege to Gödel. A Source Book in Mathematical Logic, 1879-1931 (this work contains an English translation, with introduction, of the Arithmetices Principia - the second work in the collection, after Frege's Begriffsschrift). Turin: Bocca Brothers, 1889. Octavo (240 x 159 mm), pp. [xvi], 20. Original printed wrappers, mostly unopened. Exlibris bookplate to inside of front wrapper. Manuscript lettering to spine strip. A fine copy.

Zebra Noise with a flatted 7th by Wagener, Richard

4 to 14 days for delivery

Standard Shipping: $20.00

Details

$4,900.00

( US$)

Seller: Michael R. Thompson, Booksellers, ABAA/ILAB

Title: Zebra Noise with a flatted 7th
Author: Wagener, Richard
Seller: Michael R. Thompson, Booksellers, ABAA/ILAB (United States)
Description: Berkeley: Peter Koch, 1998 One of seventy numbered copies, signed by Wagener. Designed and printed on Zerkall paper by Peter Koch and Richard Wagnener. Folio. 8 1/2 x 14 1/2." . Twenty-six full-page wood-engravings, one for each letter of the alphabet, with short prose statements on facing pages. Twenty-six smaller woodcut section titles in red. Fine in brown board chemise and red silk slipcase with printed paper label. This beautiful letterpress production is an alpha-bestiary, with woodcuts of animals to accompany each of the twenty-six letters. The subjects range from Armadillo

A Passage to India by Forster, E. M.

4 to 7 days for delivery

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$1,250.00

( US$)

Seller: Whitmore Rare Books

Title: A Passage to India
Author: Forster, E. M.
Seller: Whitmore Rare Books (United States)
Condition: Near Fine
Description: London: Edward Arnold & Co, 1924. First edition. Near Fine. A Near Fine copy in the original publisher's red cloth with black stamping on the spine and front board. A previous owner's bookplate on the front paste-down (Edward J Roleson). Slight separation to the text block at the title page and very minor foxing to the preliminary and terminal leaves. But a handsome, fresh copy overall. Three pages of ads at the end. Based on Forster's own experiences in India during the 1910s and 1920s, the novel examines the political and personal tensions between Indian and British inhabitants of the country during the British Raj (1858-1947) and the ensuing battle for Indian independence. The novel won the 1924 James Tait Black Memorial Prize and was adapted for the stage and for the screen multiple times, with the 1984 film adaptation (based on Santha Rama Rau's 1948 stageplay) winning two Oscars. Near Fine.

UNDER THE GREENWOOD TREE. A Rural Painting of the Dutch School by Hardy, Thomas

7 to 14 days for delivery

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$295.00

( US$)

Seller: Sumner & Stillman

Title: UNDER THE GREENWOOD TREE. A Rural Painting of the Dutch School
Author: Hardy, Thomas
Seller: Sumner & Stillman (United States)
Description: 1873. New York: Holt & Williams, 1873. Endpaper ads dated May 10, 1873. Original cream cloth decorated in black. First American Edition, first issue, of Thomas Hardy's first book appearance in North America. This was his second novel, initially published in two volumes in London in June 1872; however, Hardy's first novel, DESPERATE REMEDIES, was not published in America until 1874. The first issue, as here, has both the title page and binding listing the publisher as Holt & Williams, and has endpaper ads dated in 1873; by the following year, the publisher's name was Henry Holt & Co. This is a good-plus copy, with a darkened spine, moderate cover soil, and wear at the spine ends. The initial owner, of Washington PA, put his signature and the date "6-21-73" not only on the front flyleaf but also on the front cover; while this writing on the front cover would be regarded by most as a flaw, such pride of ownership of a first published book, just six weeks after publication, would be regarded as a plus by some. Not a great-looking copy, but the initial Holt & Williams edition of this book is scarce. See Purdy p. 8.

Original photograph of William Wyler, Margaret Tallichet, and their children, circa 1949 by William Wyler, Margaret Tallichet (subjects)

7 to 14 days for delivery

Standard Shipping: $10.00

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$150.00

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Seller: Royal Books

Title: Original photograph of William Wyler, Margaret Tallichet, and their children, circa 1949
Author: William Wyler, Margaret Tallichet (subjects)
Seller: Royal Books (United States)
Description: N.p.: N.p., 1949. Vintage borderless photograph of director William Wyler, his wife Margaret Tallichet, and their first two daughters Cathy and Judy. Date stamp on the verso reading SEP 13 1949. Wyler and Tallichet met in 1939 through mutual acquaintances at Goldwyn Pictures. Three weeks after meeting they married, on October 23, 1938, and remained married until Wyler's death in 1981. Approximately 9 x 7.25 inches, trimmed irregularly. Very Good plus, with brief wear and creasing at the corners.

The Flock of Sheep; or Familiar Explanations of Simple Facts

2 to 8 days for delivery

Standard Shipping: $10.00

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$65.00

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Seller: Sandra L Hoekstra Bookseller, ABAA, ILAB, IOBA

Title: The Flock of Sheep; or Familiar Explanations of Simple Facts
Seller: Sandra L Hoekstra Bookseller, ABAA, ILAB, IOBA (United States)
Condition: Very good
Description: New Haven: Printed and Published by S. [Sidney] Babcock`, 1840. Wraps. Very good. [JUVENILE] [CHAPBOOK]. 32mo (4 3/8" x 2 ¾"); 16pp; pale pink or light tan wrapper, decorative borders and wood-engraved vignette of a mother and child on front, rear wrapper publisher's ad for "Toy Books, Beautifully Embellished with Superior Engravings for the Mind and the Eye;" full page illustration on wrapper pp 2 and 3; vignette and decorative borders on title page; ownership and inscription on wrapper pp2; small wood engraved vignettes in text; separation at spine fold ¼" at head and 1 ½" at foot, light hand soiling; very good minus. Seventeen small wood engraved vignettes illustrate the text with decorative borders on each page. The text reads as a conversation between a mother and daughter about animals and their use to man, a discussion about textiles and their source, and ends with a religious reminder they are all provided by God. Beautifully printed by Sidney Babcock from the New Haven family of printers.

Bust-length photograph of the American actress, signed in full by WOOD, Peggy 1892-1978

7 to 14 days for delivery

Standard Shipping: $12.50

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$52.00

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Seller: J & J Lubrano Music Antiquarians LLC

Title: Bust-length photograph of the American actress, signed in full
Author: WOOD, Peggy 1892-1978
Seller: J & J Lubrano Music Antiquarians LLC (United States)
Condition: Very Good
Description: No binding. Very Good. Image within oval frame size 270 x 172 mm., sheet size 254 x 203 mm. Signed at blank upper left corner, with photographer's embossed stamp to blank lower right corner "Campbell Studio 538 Fifth Ave. New York." With handstamp stamp "Stage Woman's War Relief 366 Fifth Avenue" to lower right corner of verso. Very slightly worn; remnants of adhesive to verso. Wood was an American actress of stage, film, and television. She had lead roles in musicals staged in both London and New York, played Portia in a 1928 productiion of The Merchant of Venice, and starred in the New York premiere of Blithe Spirit as Ruth Condomine. Wood is perhaps best remembered for her final screen appearance as Mother Abbess in The Sound of Music (1965), for which she was nominated for an Academy Award and a Golden Globe Award." Wikipedia.

U.S. ARMY TRAINING CENTER, FORT LEONARD WOOD, MISSOURI

7 to 14 days for delivery

Standard Shipping: $7.00

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$37.50

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Seller: Second Story Books, ABAA

Title: U.S. ARMY TRAINING CENTER, FORT LEONARD WOOD, MISSOURI
Seller: Second Story Books, ABAA (United States)
Description: Doraville: Albert Love Enterprises Publishers, [1969?]. Hardcover. Quarto, unnumbered pages. In Good condition. Spine is blue without print. Boards in blue cloth with gold print; light wear to spine caps and corners. Text block has spotting to top edge. Illustrated: chiefly b&w photographs, some color. “Company D, First Battalion, Third Brigade, 21 February 1969”— cover. [Oversized book(s). Additional postage necessary for expedited/international orders. Economy International shipping unavailable due to size/weight restrictions. For international/expedited customers, please inquire for rates]. NOTE: Shelved in Locked Annex Area, Quarto and Folio Case. 1397430. FP New Rockville Stock.

REPRESENTATIVE ART AND ARTISTS OF NEW MEXICO

7 to 14 days for delivery

Standard Shipping: $10.00

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$25.00

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Seller: Alcuin Books, ABAA-ILAB

Title: REPRESENTATIVE ART AND ARTISTS OF NEW MEXICO
Seller: Alcuin Books, ABAA-ILAB (United States)
Condition: Near Fine
Description: Santa Fe: Museum of New Mexico, 1976. Soft Cover. Near Fine. 4to - over 9¾" - 12" tall. Light blue pictorial wraps, short history of Santa Fe art. Examples of art, photos of artists. 41pp.

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