### Saunders ~~Mac Lane~~ ~~(1909–2005):~~ ~~His mathematical life~~ ~~and philosophical works~~

#### Filter the Bibliography List

Abgekürzte Beweise im Logikkalkül
[Abbreviated proofs in the logical calculus].
Ph.D. thesis,
Georg-August-Universität Göttingen (Göttingen),
1934.
Advised by P. Bernays and H. Weyl.
An abstract was published (in English) in *Bull. Am. Math. Soc.* **40**:1 (1934).
phdthesis

A logical analysis of mathematical structure,” Monist 45 : 1 (January 1935), pp. 118–130. JFM 61.0050.01 Zbl 0011.00102 article

: “
Review: Katudi Ono, ‘Logische untersuchungen über die
grundlagen der mathematik’ *Journal of the Faculty of
Science, Imperial University of Tokyo, I*, **3**:7 (1938)
329–389,”
The Journal of Symbolic Logic
4 : 2
(1939),
pp. 89–90.
article

Review: Alfred Tarski, ‘Der aussagenkalkul und die topologie’,
*Fundamenta Mathematicae* **31** (1938), 103–134,”
The Journal of Symbolic Logic
4
(1939),
pp. 26–27.
article

Symbolic logic,” Am. Math. Mon. 46 : 5 (1939), pp. 289–296. Zbl 0021.09703 article

: “
Review of M. H. Stone, ‘Applications of the theory of Boolean
rings to general topology’ *Trans. Amer. Math. Soc.*
**41**:3 (1937), 375–481,”
Journal of Symbolic Logic
4
(1939),
pp. 88–89.
article

Review: J.-L. Destouches, ‘Essai sur la forme générale des théories physiques’, Institutul de Arte Grafice ‘Ardealul’, Cluj, Romania, 1938,” The Journal of Symbolic Logic 5 : 1 (1940), pp. 23. article

: “
Review: F. Gonseth, ‘Philosophie mathématique,’
Actualités Scientifiques et Industrielles **837**,
Hermann, Paris, 1939,”
The Journal of Symbolic Logic
5 : 2
(1940),
pp. 77–78.
article

A survey of modern algebra.
Macmillan (New York),
1941.
The fiftieth anniversary of this book was commemorated in an article in *Math. Intell.* **14**:1 (1992).
MR
0005093
Zbl
0061.04802
book

Natural isomorphisms in group theory,”
Proc. Natl. Acad. Sci. U.S.A.
28 : 12
(December 1942),
pp. 537–543.
See also article in *Gaz. Mat.* **29**:109–112 (1968).
MR
0007421
Zbl
0061.09203
article

Review: F. Gonseth, ‘Les entretiens de Zurich sur les fondements et la méthode des sciences mathématiques, 6–9 décembre 1938’ S. A. Leemann frères & Cie., Zurich, 1941,” The Journal of Symbolic Logic 7 : 1 (1942), pp. 35–37. article

: “General theory of natural equivalences,” Trans. Am. Math. Soc. 58 : 2 (September 1945), pp. 231–294. MR 0013131 Zbl 0061.09204 article

: “Book review: The development of mathematics,” Am. Math. Mon 53 : 7 (August–September 1946), pp. 389–390. Book by E. T. Bell (2nd ed., McGraw-Hill, 1945). MR 1526489 article

: “Groups, categories and duality,” Proc. Natl. Acad. Sci. U.S.A. 34 : 6 (June 1948), pp. 263–267. MR 0025464 Zbl 0031.24702 article

: “Of course and courses,” Am. Math. Mon. 61 : 3 (March 1954), pp. 151–157. MR 1528667 article

: “Algebra. Macmillan (New York), 1967. MR 0214415 Zbl 0153.32401 book

:Topology and logic as a source of algebra,” Bull. Am. Math. Soc. 82 : 1 (January 1976), pp. 1–40. Retiring Presidential address. MR 0414648 Zbl 0324.55001 article

: “Origins of the cohomology of groups,” Enseign. Math. (2) 24 : 1–2 (1978), pp. 1–29. MR 497280 Zbl 0379.18012 article

: “Selected papers. Edited by I. Kaplansky. Springer (New York), 1979. With contributions by Alfred Putnam, Roger Lyndon, Kaplansky, Samuel Eilenberg and Max Kelly. MR 544841 Zbl 0459.01024 book

:Mathematics,” pp. 104–110 in “Science” Centennial, published as Science 209 : 4452. Issue edited by P. H. Abelson and R. Kulstad. July 1980. MR 576525 Zbl 1225.00002 incollection

: “History of abstract algebra: Origin, rise, and decline of a movement,” pp. 3–35 in American mathematical heritage: Algebra and applied mathematics (El Paso, TX, November 1975 and Arlington, TX, October 1976). Edited by J. D. Tarwater, J. T. White, C. Hall, and M. E. Moore. Mathematics Series 13. Texas Tech Press (Lubbock, TX), 1981. MR 641700 incollection

: “Mathematical models: A sketch for the philosophy of mathematics,” Am. Math. Mon. 88 : 7 (August–September 1981), pp. 462–472. MR 628015 Zbl 0468.00019 article

: “Mathematics, form and function. Springer (New York), 1986. MR 816347 Zbl 0675.00001 book

:Concepts and categories in perspective,”
pp. 323–365
in
A century of mathematics in America,
part I.
Edited by P. Duren, R. A. Askey, and U. C. Merzbach.
History of Mathematics 1.
American Mathematical Society (Providence, RI),
1988.
An addendum to this article was published in *History of Mathematics, part III* (1989).
MR
1003181
Zbl
0665.01002
incollection

Group extensions for 45 years,” Math. Intell. 10 : 2 (1988), pp. 29–35. MR 932159 Zbl 0657.01011 article

: “Addendum: ‘Concepts and categories in perspective’,”
pp. 439–441
in
A century of mathematics in America,
part III.
Edited by P. Duren, R. A. Askey, H. M. Edwards, and U. C. Merzbach.
History of Mathematics 3.
American Mathematical Society (Providence, RI),
1989.
Addendum to an article in *History of Mathematics, part I* (1988).
MR
1025356
incollection

A conversation with Saunders Mac Lane,” College Math. J. 20 : 1 (1989), pp. 2–25. MR 979840 Zbl 0995.01520 article

: “Sheaves in geometry and logic: A first introduction to topos theory. Universitext. Springer (New York), 1992. A corrected reprint was published in 1994. Zbl 0822.18001 book

:A matter of temperament,” The New York Review of Books 42 : 15 (Oct. 5 1995), pp. 56. Letter, with reply by Freeman J. Dyson. article

: “Mathematics at Göttingen under the Nazis,” Notices Am. Math. Soc. 42 : 10 (1995), pp. 1134–1138. MR 1350011 Zbl 1042.01536 article

: “Stephen Cole Kleene: A reminiscence,” Ann. Pure Appl. Logic 81 : 1–3 (1996), pp. 3–7. MR 1407050 Zbl 0855.01030 article

: “Structure in mathematics,” pp. 174–183 in Mathematical structuralism, published as Philos. Math. (3) 4 : 2. Issue edited by S. Shapiro. 1996. MR 1397752 Zbl 0905.18001 incollection

: “Van der Waerden’s ‘Modern algebra’,” Notices Am. Math. Soc. 44 : 3 (1997), pp. 321–322. MR 1435205 Zbl 1036.01007 article

: “Garrett Birkhoff and the ‘Survey of modern algebra’,” Notices Am. Math. Soc. 44 : 11 (1997), pp. 1438–1439. MR 1488571 Zbl 0908.01019 article

: “Despite physicists, proof is essential in mathematics,” pp. 147–154 in Proof and progress in mathematics (Boston, MA, 12 February 1996), published as Synthese 111 : 2. Issue edited by A. Kanamori. 1997. MR 1465267 Zbl 1052.00512 incollection

: “Mina Spiegel Rees (1902–1997),” Notices Am. Math. Soc. 45 : 7 (1998), pp. 866–873. MR 1633722 Zbl 0973.01070 article

: “Categories for the working mathematician, 2nd edition. Graduate Texts in Mathematics 5. Springer (New York), 1998. Republication of 1971 original. MR 1712872 Zbl 0906.18001 book

:Saunders Mac Lane: A mathematical autobiography. A K Peters (Wellesley, MA), 2005. With a preface by David Eisenbud. MR 2141000 Zbl 1089.01010 book

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