Tractatus Logico-Philosophicus (English): Difference between revisions

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Contradiction is the external limit of the propositions, tautology their substanceless centre.
Contradiction is the external limit of the propositions, tautology their substanceless centre.


{{ParTLP|5.15}} If ''T<sub>r</sub>'' is the number of the truth-grounds of the proposition "''r''", ''T<sub>r</sub>'' the number of those truth-grounds of the proposition "''s''" which are at the same time truth-grounds of "''r''", then we call the ratio {{nowrap|''T<sub>rs</sub> : T<sub>r</sub>''}} the measure of the ''probability'' which the proposition "''r''" gives to the proposition "''s''".
{{ParTLP|5.15}} If ''T<sub>r</sub>'' is the number of the truth-grounds of the proposition "''r''", ''T<sub>r</sub>'' the number of those truth-grounds of the proposition "''s''" which are at the same time truth-grounds of "''r''", then we call the ratio {{nowrap|''T''<sub>''rs''</sub> : ''T''<sub>''r''</sub>}} the measure of the ''probability'' which the proposition "''r''" gives to the proposition "''s''".


{{ParTLP|5.151}} Suppose in a schema like that above in No. [[#5.101|5.101]] ''T<sub>r</sub>'' is the number of the "T"'s in the proposition ''r'', ''T<sub>rs</sub>'' the number of those "T"'s in the proposition ''s'', which stand in the same columns as "T"'s of the proposition ''r''; then the proposition ''r'' gives to the proposition ''s'' the probability {{nowrap|''T<sub>rs</sub> : T<sub>r</sub>''}}.
{{ParTLP|5.151}} Suppose in a schema like that above in No. [[#5.101|5.101]] ''T<sub>r</sub>'' is the number of the "T"'s in the proposition ''r'', ''T<sub>rs</sub>'' the number of those "T"'s in the proposition ''s'', which stand in the same columns as "T"'s of the proposition ''r''; then the proposition ''r'' gives to the proposition ''s'' the probability {{nowrap|''T''<sub>''rs''</sub> : ''T''<sub>''r''</sub>}}.


{{ParTLP|5.1511}} There is no special object peculiar to probability propositions.
{{ParTLP|5.1511}} There is no special object peculiar to probability propositions.