However, it can be logically deduced that the query has no solution.
The meaning of "implies" is that "of ordinary inference and proof" (1912, 531) according to which a proposition implies another proposition if the second can be logically deduced from the first.
All mathematical systems (for example, Euclidean geometry) are combinations of sets of axioms and of theorems that can be logically deduced from the axioms.
The various models describing the growth of these dissolution patterns are briefly reviewed, and their limits of validity are logically deduced from the diagram.
Conversely, the presence and quantity of these factors can be logically deduced from the occurrence of a species with specific environmental requirements.
Thus, set theory has become the standard foundation for mathematics, as every mathematical object can be viewed as a set, and every theorem of mathematics can be logically deduced in the Predicate Calculus from the axioms of set theory.
Russell did not rest content with adopting the the Peano axioms as the basis for the theory of the natural numbers and then showing how the properties of the numbers could be logically deduced from those axioms.
So, if the process has yielded a true belief, say, 90% of the time, the probability that the next belief will be true is 90%; this is so even if the belief in question is necessarily true and has been logically deduced from a set of beliefs, each of which is necessarily true).
Two basic categories can be distinguished: (a) models of theory reduction maintain that one theory can be logically deduced from another theory (Section 3.1); and, (b) models of explanatory reduction focus on whether higher level features can be explained by representations of lower level features (Section 3.2).
But if the decision is negative, or in other words, if the conclusions have been falsified, then their falsification also falsifies the theory from which they were logically deduced" (quoted from ref. [ 109]).
It is logically impossible for heterosexual men to have more partners on average than heterosexual women.
