# deduction

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## deduction

[de-duk´shun]
reasoning in which the conclusion follows necessarily from the premises; reasoning from the general to the particular.

## de·duc·tion

(dē-dŭk'shŭn),
The logical derivation of a conclusion from certain premises. The conclusion will be true if the premises are true and the deductive argument is valid. Compare: induction (9).

## de·duc·tion

(dĕ-dŭk'shŭn)
The logical derivation of a conclusion based on certain premises. The conclusion will be true if the premises are true and the deductive argument is valid.
Compare: induction (9)
References in periodicals archive ?
We then deduce that t [??] [EV.sub.t] satisfies an o.d.e.
remarking via the hypotheses that 10[x.sub.n,1] = n + 71, clearly 10[x.sub.n,1] < n + 71, now using the previous inequality and (3), then it becomes trivial to deduce that statement Z([x.sub.n,1], [gamma](n), [gamma]'(n)) is false, otherwise, Z([x.sub.n,1], [gamma](n), [gamma]'(n)) is true, and using (3), then we clearly deduce that 10[x.sub.n,1] > n + 71.
Now using inequality (1.2.0) and the fact that [m.sub.n] < n - y, then it becomes immediate to deduce that [m.sub.n] < n - y < 2n - 2y - 2 (since n>y + 4096 (by (1.2.0)) and since y is an integer [greater than or equal to] 0 such that [m.sub.n] < n - y (by the hypothesis)); consequently
In the Spanish chest episode, he must deduce who committed the murder and how the body got into the chest.
From Prince's Big-page book of two-page color photo spreads, we, as aliens, would deduce (and probably not incorrectly) that a large deep portion of the human experience is spent engaged in reproduction and day-dreams of reproduction, in murder and dreams of murder - with a goodly amount of remainder time devoted to seeking extreme stimulation of one sort or another.
Although dark matter halos can't be directly seen, astronomers can deduce the presence of this material by the extent to which its mass bends the light of background galaxies.
How does one deduce the shape and size of the object giving rise to the observed image?
By using cosmological models to estimate the density of the background photons from the X-ray data, researchers can deduce the composition and energies of the charged particles in the high-speed jet.
From that motion, the astronomers could deduce only that the star--designated as S025300.5+165258--was either a fast-moving distant star or a sluggish nearby star.
Because of that split, scientists deduce that the cancer cells--although outwardly similar--must vary from patient to patient.
By subjecting the synthetic rocks to high temperature and pressure, the team was able to deduce how much water Mars rocks would have contained at the time when they were molten and just beginning to solidify.
From the wobble, astronomers can deduce a minimum mass for each planet, although its true mass could be larger.

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