Ratiocination

But it will be apparent from the refutation of the ſecond Falſification, wherewith you charge the Author of the Letters, that theſe miſchievous conſequences are rightly drawn from the wicked principle layd down by Vaſquez [Gabriel Vásquez] in the ſame place, and accordingly, that that Jeſuit hath not done violence to the rules of ratiocination, but to thoſe of the Goſpel.

He'd run in Debt by Diſputation, / And pay with Ratiocination. / All this by Syllogiſm, true / In Mood and Figure, he wou'd do.

Reasoning, in the extended sense in which I use the term, and in which it is synonymous with Inference, is popularly said to be of two kinds: reasoning from particulars to generals, and reasoning from generals to particulars; the former being called Induction, the latter Ratiocination or Syllogism. […] The meaning intended by these expressions is, that Induction is inferring a proposition from propositions less general than itself, and Ratiocination is inferring a proposition from propositions equally or more general.

It is hard to follow the kinks of woman suffrage ratiocination.

As the requirements of mass democracy forced the gentleman intellectual from the political scene, the new style political leaders felt the need to flatter the electorate by stressing the superiority of inborn, natural, intuitive and folkish wisdom and to devaluate the ratiocinations of the cultivated.

Finally Tao comes to possess the meaning of “rational speech” or “word,” and in this sense it closely resembles the Greek Logos, for in addition to its philosophical significance the term Tao touches a religious chord in the souls of the Chinese just as did the word Logos among the Platonists and the Greek Christians. […] The Tao of man, jan tao [footnote: 人道], is the process of ratiocination, and as such it is fallible; but there is an Eternal Reason, ch‘ang tao [footnote: 常道], also called t‘ien tao [footnote: 天道], “Heaven’s Reason,” i.e., the world-order which shapes all things, and the burden of Lao-tze’s message is to let this Heaven’s Reason or Eternal Reason prevail.

Where the Qur’an has not been explicit, the Hadith has often supplied guidance, providing an intermediate source of knowledge between the text of the Holy Book itself and the ratiocinations of the religious lawyers, the fuqaha’, who had recourse, when all else failed, to such principles as analogical reasoning and personal judgement.