First, a blueprint of the network is constructed genetically (through the use of a genetic algorithm) with the underlying intent of capturing the structural (logical) essence of the data and encapsulating it into the network.
In ch. 10, section 102, Russell also gives a form of Cantor's theorem, which captures the logical essence of diagonalization (this version is by now folklore): no binary relation can parameterize all unary predicates over a given domain U (i.e., no binary relation R exists such that for all unary predicates P over U, there is an object a in U for which one has: for all x in U, R a, x) ↔ P x)).
This vast book, the last one he published before he died in May, unveils his distinctive vision of evolutionary biology as it should be, as it is, and as it has been.Gould's strategy is to identify a Darwinian essence, the logical core of Darwin's own doctrine, and chart its history.
In line with his discussion of the Idea, the concept of historical origin should not be reduced to the causality and actuality of the empirically factual, nor should it be regarded as a purely logical and timeless essence.
Moreover, we can see a metaphysical aspect to this logical conception of substance: the complete individual concept of a substance is the notion or essence of the substance as it known by the divine understanding.
When this fuzzy two-state bit is plugged into a logical operation, the computer in essence computes both outcomes simultaneously.
Here we still have an argument whose essence is the logical transition from a random sample to the population from which the sample is taken.
Given that God is immutable, and hence that the divine power is not affected by the passage of time, and divine ideas, within Wyclif's system, are as necessary as the divine essence itself, the logical consequence is that, despite Wyclif's claims of the contrary, the whole history of the world is determined from eternity.
For what does an ontological argument do but peer into the inner logic of such an exemplar essence and try to capture the logical consequence that it must exist?
The logical forms of judgment are in essence the forms of combination of concepts in judgments.
Naturally the logical structures and processes implicit in essence-thinking are more developed than those of being-thinking.
