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The syllogism of transposed quantity runs as follows.
The conclusion (of the syllogism of transposed quantity) is that for all x there exists a y such that Ryx.
If by Rxy in the syllogism of transposed quantity we take f(x) = y, where the function is defined on and has values in the set S, then the second premise of the syllogism of transposed quantity says that f is a one-one function.
His criterion of the difference between finite and infinite collections was that the so-called "syllogism of transposed quantity," which had been introduced by Augustus de Morgan, constituted a deductively valid argument only when applied to finite sets; as applied to infinite sets it was invalid.
The conclusion says that every member of S is the image under f of some member of S. Thus the syllogism of transposed quantity says that no one-one function can map the set S to a proper subset of itself.
Similar(55)
The relative position of transposed glomeruli was conserved across individuals (Supporting information S1).
Insertion of transposed elements into introns can lead to their activation as alternatively spliced cassette exons, an event called exonization.
In summary, exonization of regions of transposed elements is thought to be an important contributor to mammalian evolution and speciation.
Here we show that exonization of transposed elements is biased towards the beginning of the coding sequence in both human and mouse genes.
Sequences of transposed elements comprise at least 45% of the human and 37% of the mouse genomes (Lander et al., 2001; Waterston et al., 2002).
We found that exonization of transposed elements is biased towards the beginning of the coding sequence in both human and mouse genes.
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