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It is interesting and important to notice that the gradual changes made from Euler Circles through to Shin's systems share one common theme: to increase both the expressive and logical power of the system so that it is sound, complete, and logically equivalent to monadic predicate logic.
While there is no loss of logical power in eliminating many-placed functors, the move is unnatural, and Leśniewski would not have countenanced defining many-placed functors as many-link ones in disguise, as we find in Church for instance.
Like a psychic power, not a logical power.
In view the logical power and broad acceptance of the Conflict Model, few alternative hypotheses for the advantages of imprinted gene expression have been proposed, and the few that have were quickly dismissed as evolutionarily unstable or logically flawed.
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(There are other things one might mean by the question of whether from the perspective of a given logic, a connective with such-and-such logical powers exists most evidently, whether or not such a connective is already definable in the logic.
Mark Haddon's The Curious Incident of the Dog in the Night-time is narrated by Christopher, a 15-year-old British boy with Asperger's syndrome whose strange logical powers contrast beautifully with his lack of emotional insight.
The logico-mathematical fact behind this is the difference in logical powers between "All" and "Almost all".
(The precise dual would be a consequence relation on a language with a single connective, roughly speaking giving that connective all the logical powers possessed by either disjunction or conjunction, and by a result of Wolfgang Rautenberg cited below, according to this consequence relation any formula follows from any other.
But I can't be a Christian so severely lacking in logical powers that I don't notice the difference between homosexuality and all the other kinds of sins anyone's always doing.
Symmetry of logical reasoning power on the part of the two players ensures that the fugitive can surprise the pursuer only if it is possible for him to surprise himself.
Sam Cooke had it right, change did come, and Obama's simple, logical mantra powered a nation to correct its course, examine its mistakes, and elect its first African-American president who will take office the day after Martin Luther King, Jr. Day.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com