0870 Algebra of Logic 



Complex numbers, systems, reducibility. Schef- 



fers, G. Mth. A. 41 (1893) 601-. 

 , , reduction to typical forms. Schef- 



fers, G. Mth. A. 39 (1891) 293-. 

 , , theory. Hausdorff, F. Leip. Mth. 



Ps. B. 52 (1900) 43-. 

 Elliptic and hyperbolic numbers. Levi-Civita, 



T. Ven. I. At. (1892-93) 1765-. 

 Nonions analogous to quaternions, quantities 



forming a group. Sylvester, J. J. C. E. 97 



(1883) 1336- ; 98 (1884) 273-, 471-. 

 , system. Peirce, C. S. (xn) J. H. Un. 



Cir. [2] (1883) 86-. 

 , ( , represented by 9 matrices). Sylvester, 



J. J. (xn) J. H. Un. Cir. [1] (1882) 241- ; 



[2] (1883) 46, 86. 

 Non-quaternion number-systems containing no 



skew units. Starkweather, G. P. Am. J. 



Mth. 21 (1899) 369-. 

 Octonions. McAulay, A. B. S. P. 59 (1896) 



169-. 



Pluquaternions, and homoid products. Kirk- 

 man, T. P. Ph. Mg. 33 (1848) 447-, 494-. 

 Seven fundamental keys, system. Fontene, G. 



Par: S. Mth. Bll. 27 (1899) 171-. 

 Symbolical and double numbers. Philippoff, M, 



Z. Mth. Ps. 37 (1892) 298-. 

 Systems of numbers, calculation. Scheffers, G. 



Leip. Mth. Ps. B. 41 (1889) 400-. 



one-vectors in space of n dimensions. 

 Young, W. H. L. Mth. S. P. 29 (1898) 

 478-. 



Trinomial complex numbers. Schwering, K. 

 Acta Mth. 10 (1887) 57-. 



Triquaternions. Combebiac, . Par. S. Mth. 

 Bll. 27 (1899) 180-. 



Types of algebraical magnitudes arising by 

 composition of two other types. Hensel, K. 

 Crelle J. Mth. 105 (1889) 329-. 



Units of an w-fold space, applications. Chap- 

 man. C. H. Am. J. Mth. 10 (1888) 225-. 



0870 Algebra of Logic. 



Abacus, logical. Jevons, W. S. Manch. Lt. 



Ph. S. P. 5 (1866) 161-. 

 Algebra of binary relatives. Schroeder, E. 



Mth. A. 46 (1895) 144-.' 

 logic. Peirce, C. S. Am. J. Mth. 3 



(1880) 15-. 

 , a contribution to the philosophy of 



notation. Peirce, C. S. Am. J Mth 7 



(1885) 180-. 



, formulae. Peano, (?. Ev. Mt. 1 

 (1891) 24-, 182-. 



, principles. Macfarlane, A. B. A. 



Ep. (1879) 262-. 

 , . Peano, G. Ev. Mt. 1 (1891) 



, remark. Korselt, A. Mth. A. 44 



(1894} 156-. 

 relations, principles. Schroder, F [1900] 



N. Y. Am. Mth. S. Bll. 7 (1901) 176-. 

 Boole's analysis of logic. Harley, E. B. A. 



Ep. 36 (1866) (Sect.) 3-. 



laws of thought. Young, G. P. Cn J 10 

 (1865) 161-. 



0870 Algebra of Logic 



Boole's laws of thought. Ellis, E. L. B. A. 



Ep. 40 (1870) (Sect.) 12-. 

 . Harley, E. B. A. Ep. 40 (1870) 



(Sect.) 14-. 

 Calculus of equivalent statements . Mac Coll,H. 



[1896-97] L. Mth. S. P. 28 (1897) 156-, 



555- ; 29 (1898) 98-. 

 and integration limits. McColl, H. 



L. Mth. S. P. 9 (1877-78) 9-, 177- ; 10 



(1878-79) 16-; 11 (1879-80) 113-. 

 logic. Boole, G. Camb. and Dubl. Mth. 



J. 3 (1848) 183-. 

 . Cayley, A. QJ. Mth. 11 (1871) 



282-. 

 , Boole's, improvement. Peirce, C. S. 



[1867] Am. Ac. P. 7 (1868) 250-. 

 , cycle of operations of. Schroder, E. 



Mth. A. 12 (1877) 481-. 

 , functional theorems. Nagy, A. Ev. 



Mt. 2 (1892) 177-. 

 Deductive logic, principles. Vailati, G. Ev. 



Mt. 1 (1891) 127-. 

 Dependence, property of, as a relation. Vailati, 



G. Ev. Mt. 2 (1892) 161-. 

 Dialectics, rational. Gergonne, J. D. Gergonne 



A. Mth. 7 (1816-17) 189-. 

 Elimination problem in identical calculus. 



Schroder, E. D. Nf. Tbl. (1885) 353-. 

 Expressions for hypothetical and disjunctive 



propositions. Graves, C. Ir. Ac. P. 4 



(1850) 147-. 

 Formal properties of algebraic operations. 



Burali-Forti, C. Ev. Mth. 6 (1896-99) 141-. 

 Implicational and equational logic. McColl, H. 



[1880] Ph. Mg. 11 (1881) 40-. 

 Inverse or inductive logical problem. Jevons, 



W. S. [1871] Manch. Lt. Ph. S. P. 11 



(1872) 65-. 

 Jevons-Clifford problem. Nagy, A. Mh. Mth. 



Ps. 5 (1894) 331-. 

 Law of roots in logic. Poretsky, P. Ev. Mth. 



6 (1896-99) 5-. 

 Logic, algebraic analogues. Ellis, A. J. E. 



S. P. 21 (1873) 497-. 

 , application to mathematics. Debrun, B. 



Niort. Mm. de l'Athene"e 1 (1808) 1-. 

 , . Matzka, W. Grunert Arch. 6 



(1845) 353-. 

 , formal. Ellis, A. J. E. S. P. 20 (1872) 



307-. 



of mathematics. Peirce, C. S. [1867] Am. 

 Ac. P. 7 (1868) 402-. 



number. Peirce, C. S. Am. J. Mth. 4 



(1881) 85-. 

 relatives, notation. Peirce, C. S. [1870] 



Am. Ac. Mm. 9 (pt. 2) (1873) 317-. 

 , symbolic. MacColl, H. [1900] N. Y. Am. 



Mth. S. Bll. 7 (1901) 158, 166-. 

 , treatment. Murphy, J. J. Manch. Lt. 



Ph. S. Mm. & P. 4 (1891) 201-. 

 Logical calculus. Poreckij, P. S. Kazan S. 



Nt. (Ps.-Mth.) P. 7 (1889) 260-. 

 . Nagy, A. G. Mt. 28 (1890) 1-. 



equalities, laws. Poreckij, P. S. Kazan 

 S. Ps.-Mth. Bll. 8 (1899) 33-, 129-, 183- ; 

 10 (1901) 50-, 132-, 191- ; 11 (1901) 17-. 



equations. Johnson, W. E. [1900] N. Y. 

 Am. Mth. S. Bll. 7 (1901) 158, 177-. 



64 



