Principles of the Algebra of Logic With Examples
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In our eReader you can find the full English version of the book. Read Principles of the Algebra of Logic With Examples Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Principles of the Algebra of Logic With Examples
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X=y+w, x>y, and xy=y, express the same truth. To express the truth considered by means of an equation, either three symbols must be used, or else a term of the second order introduced.
250. Inference from two disjunctive equations having a common character.
First; when the character occurs oppositely in the two equations.
x=y+z. (i) x'=i-y+z'. (2) Add; x+x'=i+z+z', that is, x i x' +z+z'.
Second; when the character occurs similarly in the two equations.
x=y+z. (i) x'=y+z f . (2) Subtract ; x x' ...= z z', that is, x=x'+z z r .
1 10 On certain forms of the Observation. When z and z' are each indefinite, the former conclusion amounts to Only 7's which are x are not x'.
The latter conclusion under the same conditions amounts to Some 7's which are x are x. For x>z, by equation (i).
251. If x=x(y+z), then x=x{y(i z)+z(i y)}- } and conversely.
that is, x{i+y-\-z 2y2z -\-2yz} =*>, that is, x{i-y(i-z)-z(i-y)}=o, that is, x=x{y(i z)+z(i y)}.
As this proof can be reversed, the converse proposition must be true.
What to read after Principles of the Algebra of Logic With Examples?
You can find similar books in the "Read Also" column, or choose other free books by Alexander Macfarlan to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
X=y+w, x>y, and xy=y, express the same truth. To express the truth considered by means of an equation, either three symbols must be used, or else a term of the second order introduced.
250. Inference from two disjunctive equations having a common character.
First; when the character occurs oppositely in the two equations.
x=y+z. (i) x'=i-y+z'. (2) Add; x+x'=i+z+z', that is, x i x' +z+z'.
Second; when the character occurs similarly in the two equations.
x=y+z. (i) x'=y+z f . (2) Subtract ; x x' ...= z z', that is, x=x'+z z r .
1 10 On certain forms of the Observation. When z and z' are each indefinite, the former conclusion amounts to Only 7's which are x are not x'.
The latter conclusion under the same conditions amounts to Some 7's which are x are x. For x>z, by equation (i).
251. If x=x(y+z), then x=x{y(i z)+z(i y)}- } and conversely.
that is, x{i+y-\-z 2y2z -\-2yz} =*>, that is, x{i-y(i-z)-z(i-y)}=o, that is, x=x{y(i z)+z(i y)}.
As this proof can be reversed, the converse proposition must be true.
What to read after Principles of the Algebra of Logic With Examples?
You can find similar books in the "Read Also" column, or choose other free books by Alexander Macfarlan to read onlineMoreLess
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