 | American Academy of Arts and Sciences - 1875 - 566 페이지
...XV. ON THE USES AND TRANSFORMATIONS OP LINEAR ALGEBRA. BY BENJAMIN PEIBCE. Presented, May i 1 . 1875. SOME definite interpretation of a linear algebra would,...comprehensive argument. The familiar proposition that all A is / '. and all /,' is C, and therefore all A is C, is contracted in its domain by the substitution of... | |
 | 1881 - 420 페이지
...algebra would, at first sight, appear indispensable to its successful application. But on the contrary, it is a singular fact, and one quite consonant with...The familiar proposition that all A is B, and all В is C, and therefore all A is C, is contracted in its domain by the substitution of significant words... | |
 | Benjamin Peirce - 1882 - 154 페이지
...algebra would, at first sight, appear indispensable to its successful application. But on the contrary, it is a singular fact, and one quite consonant with...The familiar proposition that all A is B, and all В is C, and therefore all A is C, is contracted in its domain by the substitution of significant words... | |
 | American Academy of Arts and Sciences - 1875 - 548 페이지
...first sight, appear indispensable to its successful application. Whereas it is a singular fact, aud one quite consonant with the principles of sound logic,...significant words for the symbolic letters. The A, B, and C, are subject to no limitation for the purposes and validity of the proposition ; they may represent... | |
 | American Academy of Arts and Sciences - 1875 - 552 페이지
...XV. ON THE USES AND TRANSFORMATIONS OF LINEAR ALGEBRA, J!v BENJAMIN PEIBCE. Presented, May 11, 1875. SOME definite interpretation of a linear algebra would,...comprehensive argument. The familiar proposition that all A is JB, and all />' is C, and therefore nil A is C, is contracted in its domain by the substitution of... | |
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But on the contrary, it is a singular fact, and one quite consonant with the principles of sound logic, that its first and general use is mostly to be expected from its want of significance. The interpretation is a trammel to the use. Symbols are essential... 