The Logic of Chance, 3rd edition: An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science and to StatisticsVenn, John
Philosophy
The Logic of Chance, 3rd edition: An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science and to Statistics
Venn, John
Chance; Logic, Symbolic and mathematical; Probabilities; Science -- Methodology
Perhaps it was a development of some such view as this that Leibnitz
looked forward to. "J'ai dit plus d'une fois qu'il faudrait une
nouvelle espèce de Logique, qui traiteroit des degrés de
Probabilité, puisqu'Aristote dans ses Topiques n'a rien moins fait
que cela" (_Nouveaux essais_, Lib. IV. ch. XVI). It is possible,
indeed, that he had in his mind more what we now understand by the
mathematical theory of Probability, but in the infancy of a science
it is of course hard to say whether any particular subject is
definitely contemplated or not. Leibnitz (as Todhunter has shown in
his history) took the greatest interest in such chance problems as
had yet been discussed.
20. By _loci_ were understood certain general classes of
premises. They stood, in fact, to the major premise in somewhat the
same relation that the Category or Predicament did to the
term. Crackanthorpe says of them, "sed duci a _loco probabiliter
arguendi_, hoc vere proprium est Argumentationis probabilis; et in
hoc a Demonstratione differt, quia Demonstrator utitur solummodo
quatuor Locis eisque necessariis.... Præter hos autem, ex quibus
quoque probabiliter arguere licet, sunt multo plures Loci arguendi
probabiliter; ut a Genere, a Specie, ab Adjuncto, ab Oppositis, et
similia" (_Logica_, Lib. V., ch. II.).
21. Stephen's _General View of the Criminal Law of England_, p. 241.
22. _Rationale of Judicial Evidence_; Bk. I. ch. VI.
23. Though this is claimed by some Kantian logicians;--Nie darf an
einem angeblichen Verbrecher die gesetzliche Strafe vollzogen
werden, bevor er nicht selbst das Verbrechen eingestanden. Denn wenn
auch alle Zeugnisse und die übrigen Anzeigen wider ihn wären, so
bleibt doch das Gegentheil immer möglich" (Krug, _Denklehre_, §131).
24. As Mr C. J. Monro puts it: "Suppose that a man is suspected of
murdering his daughter. Evidence which would not convict him before
an ordinary jury might make a grand jury find a true bill; evidence
which would not do this might make a coroner's jury bring in a
verdict against him; evidence which would not do this would very
often prevent a Chancery judge from appointing the man guardian to a
ward of the court; evidence which would not affect the judge's mind
might make a father think twice on his death-bed before he appointed
the man guardian to _his_ daughter."
Public-domain text, read in full here on John Shaqi.
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