The principles of science : $b a treatise on logic and scientific methodJevons, William Stanley
Philosophy
The principles of science : $b a treatise on logic and scientific method
Jevons, William Stanley
Logic; Science -- Methodology
+-------------------------------------------------------+
| |
+---+---+--+--+--+--+--+--+---+---+--+--+---+---+---+---+
| A | A | | | | | | |*a*|*a*| | |*a*|*a*|*a*|*a*|
+---+---+--+--+--+--+--+--+---+---+--+--+---+---+---+---+
| |
+---+---+--+--+--+--+--+--+---+---+--+--+---+---+---+---+
| B | B | | | | | | | B | B | | |*b*|*b*|*b*|*b*|
+---+---+--+--+--+--+--+--+---+---+--+--+---+---+---+---+
| |
+---+---+--+--+--+--+--+--+---+---+--+--+---+---+---+---+
| C | C | | | | | | | C | C | | | C | C |*c*|*c*|
+---+---+--+--+--+--+--+--+---+---+--+--+---+---+---+---+
| |
+---+---+--+--+--+--+--+--+---+---+--+--+---+---+---+---+
| D |*d*| | | | | | | D |*d*| | | D |*d*| D |*d*|
+---+---+--+--+--+--+--+--+---+---+--+--+---+---+---+---+
| |
+-------------------------------------------------------+
The operator will readily collect the various conclusions in the manner
described in previous pages, as, for instance that A is always C, that
not-C is not-B and not-A; and not-B is not-A but either C or not-C. The
results are thus to be read off exactly as in the case of the Logical
Slate, or the Logical Abacus.
Disjunctive propositions are to be treated in an exactly similar
manner. Thus, to work the premises
A = AB ꖌ AC
B ꖌ C = BD ꖌ CD,
it is only necessary to press in succession the keys
A (left), copula, A (right), B, ꖌ, A, C, full stop.
B (left), ꖌ, C, copula, B (right), D, ꖌ, C, D, full stop.
The combinations then remaining will be as follows
ABCD *a*BCD *abc*D
AB*c*D *a*B*c*D *abcd.*
A*c*CD *ab*CD
On pressing the left-hand key A, all the possible combinations which do
not contain A will disappear, and the description of A may be gathered
from what remain, namely that it is always D. The full-stop key
restores all combinations consistent with the premises and any other
selection may be made, as say not-D, which will be found to be always
not-A, not-B, and not-C.
Public-domain text, read in full here on John Shaqi.
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