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" Second, that the formal processes of solution or demonstration be conducted throughout in obedience to all the laws determined as above, without regard to the question of the interpretability of the particular results obtained... "
Mysticism in Modern Mathematics - Σελίδα 78
των Hastings Berkeley - 1910 - 264 σελίδες
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Proceedings of the American Association for the Advancement of Science, Τόμος 48

American Association for the Advancement of Science - 1899 - 648 σελίδες
...of the "Laws of Thought." ' ' The conditions of valid reasoning by the aid of symbols, are : First, that a fixed interpretation be assigned to the symbols...symbols be correctly determined from that interpretation ; Second, that the formal processes of solution or demonstration be conducted throughout in obedience...

An Investigation of the Laws of Thought: On which are Founded the ...

George Boole - 1854 - 442 σελίδες
...their claim to acceptance. 4. The conditions of valid reasoning, by the aid of symbols, are — 1st, That a fixed interpretation be assigned to the symbols...determined as above, without regard to the question of the interpretwbility of the particular results obtained. 3rd, That the final result be interpretable in...

The Educational Journal of Virginia, Τόμος 10

Charles Henry Winston, Thomas Randolph Price, Richard McAllister Smith, D. Lee Powell, John Meredith Strother, H. H. Harris, John Patrick McGuire, Rodes Massie, William Fayette Fox, Harry Fishburne Estill (F.), Richard Ratcliffe Farr, John Lee Buchanan, George R. Pace - 1879 - 584 σελίδες
...That a fixed interpretation be assigned to the symbols, and that the laws of the combinations of the symbols be correctly determined from that interpretation. 2nd. That the formal processes of solution and demonstration, be conducted throughout in obedience to the laws of combination, without any sustained...

Proceedings of the American Association for the Advancement of Science, Τόμος 48

American Association for the Advancement of Science - 1899 - 650 σελίδες
...of the " Laws of Thought." ' ' The conditions of valid reasoning by the aid of symbols, are : First, that a fixed interpretation be assigned to the symbols...symbols be correctly determined from that interpretation ; Second, that the formal processes of solution or demonstration be conducted throughout in obedience...

The Fundamental Principles of Algebra: Address

Alexander Macfarlane - 1899 - 46 σελίδες
...of the "Laws of Thought." ' ' The conditions of valid reasoning by the aid of symbols, are : First, that a fixed interpretation be assigned to the symbols...symbols be correctly determined from that interpretation ; Second, that the formal processes of solution or demonstration be conducted throughout in obedience...

Proceedings, Τόμος 48

American Association for the Advancement of Science - 1899 - 646 σελίδες
...68 of the " Laws of Thought." "The conditions of valid reasoning by the aid of symbols, are : First, that a fixed interpretation be assigned to the symbols...symbols be correctly determined from that interpretation ; Second, that the formal processes of solution or demonstration be conducted throughout in obedience...

Lectures on Ten British Physicists of the Nineteenth Century

Alexander Macfarlane - 1916 - 162 σελίδες
...68 of the Laws of Thought. " The conditions of valid reasoning by the aid of symbols, are : First, that a fixed interpretation be assigned to the symbols...be correctly determined from that interpretation; Second, that the formal processes of solution or demonstration be conducted throughout in obedience...

A Survey of Symbolic Logic, Τόμος 5

Clarence Irving Lewis - 1918 - 436 σελίδες
...to the laws of the algebra. Or, as Boole more explicitly puts it, valid reasoning requires: " " 1st, That a fixed interpretation be assigned to the symbols...the data; and that the laws of the combination of these symbols be correctly determined from that interpretation. " 2nd, That the formal processes of...

Mathematics and Music: A Diderot Mathematical Forum

Gerard Assayag, Hans G. Feichtinger - 2002 - 310 σελίδες
...I shall first state. . . . § 4 The conditions of valid reasoning, by the aid of symbols, are: 1st, That a fixed interpretation be assigned to the symbols...determined from that interpretation. 2nd, That the forms processes of solution or demonstration be conducted throughout in obedience to all the laws determined...
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An Investigation of the Laws of Thought

George Boole - 2007 - 441 σελίδες
...their claim to acceptance. 4, The conditions of valid reasoning, by the aid of symbols, are — 1st, That a fixed interpretation be assigned to the symbols...laws of the combination of those symbols be correctly deterniined from that interpretation. 2nd, That the formal processes of solution or demonstration be...
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