THE FORM OF REDUCTIO AD ABSURDUM

Scherer, Donald

doi:10.1093/mind/lxxx.318.247

Cited by 4 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…1 1 I have been influenced throughout much of this discussion by the dispute concerning traditional methods of construing the logical form of reductio inferences, as in Copi's popular textbook, Symbolic Logic, 2 nd ed. (1955), begun by Scherer (1971) and Lambros (1973.…”

Section: A Useful Methodsmentioning

confidence: 99%

Mathematical Proof and Discovery Reductio ad Absurdum

Jacquette¹

2008

View full text Add to dashboard Cite

The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discovery are examined, illustrated with elementary and progressively sophisticated examples, and explained. Against Arthur Schopenhauer’s objections, reductio reasoning is defended as a method of uncovering new mathematical truths, and not merely of confirming independently grasped mathematical intuitions. The application of reductio argument is contrasted with purely mechanical brute algorithmic inferences as an art requiring skill and intelligent intervention in the choice of hypotheses and attribution of contradictions deduced to a particular assumption in a contradiction’s derivation base within a reductio proof structure.

show abstract

Section: A Useful Methodsmentioning

confidence: 99%

Mathematical Proof and Discovery Reductio ad Absurdum

Jacquette¹

2008

View full text Add to dashboard Cite

show abstract

“…Na łamach poważnych czasopism niekiedy się ją jednak spotyka. Porównaj[Scherer 1971] oraz[Lee 1973] oraz dyskusję na ten temat. 3 Na marginesie warto zauważyć, że w tym słowniku wiele haseł z zakresu logiki opracował właśnie Alonzo Church.…”

unclassified

Uwagi o argumencie „ad absurdum”

Kleszcz¹

2016

Argumentacja, Myślenie, Działanie

View full text Add to dashboard Cite

“Reductio ad absurdum” (Latin term) means to reduce something (proposition, thesis, modes of argumentation, definition, instruction, etc.) to absurdity. It is one of the most common arguments used not only in mathematics and logic but in every discipline that employs argumentation (sciences, humanities, law, philosophy, everyday discourse, etc.). In this paper I discuss some methodological problems and difficulties in application of argumentum ad absurdum in areas of science, law and in everyday discourse.

show abstract

“…24 Copi's Reductio ad absurdum 25 corresponds to the indirect proof of Prasahgdnumdna. 24 Copi's Reductio ad absurdum 25 corresponds to the indirect proof of Prasahgdnumdna.…”

mentioning

confidence: 99%

The modality of N?g?rjuna's dialectics

Ghose

1987

J Indian Philos

View full text Add to dashboard Cite

THE FORM OF REDUCTIO AD ABSURDUM

Cited by 4 publications

References 0 publications

Mathematical Proof and Discovery <i>Reductio ad Absurdum</i>

Mathematical Proof and Discovery <i>Reductio ad Absurdum</i>

Uwagi o argumencie „ad absurdum”

The modality of N?g?rjuna's dialectics

Contact Info

Product

Resources

About