10 ENGLISH BOOKS RELATING TO «APAGOGICAL»
Discover the use of
apagogical in the following bibliographical selection. Books relating to
apagogical and brief extracts from same to provide context of its use in English literature.
1
The Theory of Science: Die Wissenschaftslehre oder Versuch ...
Moreover, if the opinions voiced in § 221 about the inner connection between
truths is not in error, it follows that the propositions upon which a given
proposition rests in an apagogical proof can never be its objective ground in its
pure form.
Bernard Bolzano, Rolf George,
1972
2
An introduction to the study of philosophy: With an outline ...
An apagogical demonstration is based upon the Law of the Excluded Third (§ 11)
, in connection with the principles of opposition. Vid. §§ 27 and 51. Hence it most
commonly takes the form of a dilemma. § 148. USE OF APAGOGICAL PROOF.
Emanuel Vogel Gerhart,
1858
3
On the Mathematical Method and Correspondence with Exner
Apagogical proofs A method of proof that is occasionally used in other sciences,
and particularly often in the mathematical disciplines, is the following: instead of
the proposition to be proved we contemplate its contradictory opposite (§ 8), and
...
4
Transcendental Arguments: Problems and Prospects
1 According to Kant, philosophical proofs must never be apagogical, but must
rather be ostensive: The direct or ostensive proof is, in all kinds of cognition, that
which is combined with the conviction of truth and simultaneously with insight into
...
5
Lectures on Metaphysics and Logic by William Hamilton: ...
Inf85p00t that the Internal, Probations are, as we said, first of isotrilfji all, divided
into Direct or Ostensivc, and into Indirect :sii'iift or Apagogical. A proof is Direct or
Ostensivc, when am" it evinces the truth of a thesis through positive princi— ples,
...
In the second place, " in respect of their Form, and 2. in respect that the Internal,
Probations are, as we said, first of foTM,— all, divided into Direct or Ostensive,
and into Indirect an? in-' or Apagogical. A proof is Direct or Ostensive, when <
hrect' ...
William Hamilton, Henry Longueville Mansel, John Veitch,
1860
7
The logic of Sir William Hamilton, bart
Indirect or Apagogical. A proof is .Direct or Ostensive, when it evinces the truth of
a thesis through positive principles, that is, immediately ; it ia Indirect or
Apagogical, when it evinces the truth of a thesis (hrough the falsehood of its
opposite, that ...
Sir William Hamilton, Henry Noble Day,
1863
8
Philosophical Writings of Peirce
But this coincides with the formula of Induction. . . . Thus we see that Induction
and Hypothesis are nothing but the apagogical inversions of statistical
deductions. Accordingly, when r is taken as I, so that p is "less than r," or when r is
taken as 0, ...
Charles S. Peirce, Justus Buchler,
2012
9
Critique of Pure Reason
The third Rule peculiar to pure reason, when in respect of transcendental proofs
it is subjected to a Discipline, is, that its Proof must be never apagogical but
always ostensive. The direct or ostensive proof is in all kinds of cognition, that,
which, ...
10
Writings of Charles S. Peirce: 1879-1884
In these special cases, there is no very essential difference between the mode of
reasoning in the direct and in the apagogical form. But, in general, while the
probability of the two forms is precisely the same, — in this sense, that for any
fixed ...
Charles Sanders Peirce, Max Harold Fisch, Christian J. W. Kloesel,
1989