Logic--New Logic and Old Logic by Kanzi TagutiReview by: Takeo SugiharaThe Journal of Symbolic Logic, Vol. 19, No. 3 (Sep., 1954), p. 235Published by: Association for Symbolic LogicStable URL: http://www.jstor.org/stable/2268655 .

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REVIEWS 235

KAZIMIERZ AJDUKIEWICZ. Zarys logiki. Ksiaika pomocnicza dla nau- czyciela. (An outline of logic. Manual for teachers.) Pafistwowe Zaklady Wydaw- nictw Szkolnych, Warsaw 1953, 188 pp.

This is a very elementary textbook. The first part, on verbal formulation of thought, contains an exposition with exemplary clarity of some semantical problems such as those of denotation, connotation, meaning, definitions, and points out some common fallacies of everyday talk. The second part, on substantiation of theorems, presents the elements of propositional and classical logic. The closing chapter outlines the division of inferences into deductive and reductive according to whether the direction of inference agrees or not with the direction of logical consequence. This division, originated by Lukasiewicz (in his booklet 0 nauce (On science), 2nd edn. 1936), is already traditional in the Polish literature; the classification is neither exclusive nor exhaustive. The main value of the book is in numerous well presented examples, chiefly from physics.

Erratum: page 105, line 13, for (SaP) read (SeP). H. HiZ

ROBERT BLANCHE'. Logique I900-1950. Revue philosophique de la France et de l'IEtranger, vol. 143 (1953), pp. 570-598.

An excellent historical article, expository and descriptive in character, about the development of mathematical logic in the first half of the twentieth century.

ALONZO CHURCH

MAKOTO IT6. Kagaku ronrigaku no tenb6 (A survey of scientific logic). Kiso- kagaku, vol. 3 no. 3 (1949), pp. 294-299.

An expository survey of the development of symbolic logic from Leibniz to many- valued logic. TAKEO SUGIHARA

MAKOTO IT6. Y6sd ronrigaku no kenkyvi (A study of modal logic). Ibid., vol. 3 no. 7 (1949), pp. 434-440.

This paper is the first part of the author's study of modal logic from the lattice- theoretic point of view. In this first part the author describes the formulas concerning combinations of modal operators, and the relations of independence and equivalence among these formulas. The second part, intended to deal with the completeness and the decision problem of the system, has not yet appeared. TAKEO SUGIHARA

D. HILBERT and W. ACKERMANN. Kigo ronrigaku no kiso. Japanese translation of XV 59(1) by Makoto Ito. Osaka Ky6iku Tosyo Kabusiki Kaisya, Tokyo and Osaka 1954, 10 + 207 pp.

This translation is faithful to the original book except for some modifications of symbols, and the insertion of the last paragraph of Chapter II ? 3 from the second German edition (III 83). A few translator's notes, an index of proper names, and a bibliography are added. TAKEO SUGIHARA

KANZI TAGUTI. Ronrigaku - Hurui ronrigaku to atarasii ronrigaku (Logic - New logic and old logic). Ris6sya, Tokyo 1954, 203 pp.

This is an elementary textbook of logic, of which the second half is devoted to symbolic logic, entirely following Reichenbach (XIV 50). TAKEO SUGIHARA

KATSUMI NAKAMURA. Kagakuteki ninsiki - Wien Gakudan no kenkai (Scientific knowledge - the view of the Vienna Circle). Kagaku ronrigaku, Nissin-Syoin, Tokyo 1944, pp. 1-27. (Reprinted from Kagaku sit,,6 (Tokyo), no. 9 (1942).)

In this brief introduction to the philosophy of the Wiener Kreis the author outlines the logical analysis of empirical knowledge, the unity of science, and the exclusion of metaphysics. TAKEO SUGIHARA

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