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[Dataman]

For the first time, you spelled "reductio" correctly! Good job!

Sorry, j-, I just can't take you too seriously when, up till now when you did a web search, you have been misspelling the topic of contention.

Your use of reductio (q.v.) was entirely fallacious (q.v.) in its use.

Do another search: logical fallacies. You'll find reductio as you used it listed.

[jlogajan]

Your use of reductio (q.v.) was entirely fallacious (q.v.) in its use.

From source above: "[Reductio] takes three principal forms according as that untenable consequence is:

-- a self-contradiction (ad absurdum)
-- a falsehood (ad falsum or even ad impossibile)
-- an implausibility or anomaly (ad ridiculum or ad incommodum)

The first of these is reductio ad absurdum in its strictest construction and the other two cases involve a rather wider and looser sense of the term. Some conditionals that instantiate this latter sort of situation are:

– If that's so, then I'm a monkey's uncle.
– If that is true, then pigs can fly.
– If he did that, then I'm the Shah of Persia.

What we have here are consequences that are absurd in the sense of being obviously false and indeed even a bit ridiculous. Despite its departure from what is strictly speaking so construed – conditionals with self-contradictory – time to time conclusions – this sort of thing is also characterized as an attenuated mode of reductio. But while all three cases fall into the range of the term as it is commonly used, logicians and mathematicians generally have the first and strongest of them in view."