Words like " blackbird " and " beefeater " are a different kettle of fish; they retain their units but their ultimate meaning is not fully deducible from these units . ( . . .)
22.
By this Monod does not mean to imply that the biosphere is not explicable from initial conditions / first principles but that it is not deducible ( at best predictions could be no more than statistical probabilities of existence ).
23.
*" The prisoner will be hanged next week and the date ( of the hanging ) will not be deducible the night before from the assumption that the hanging will occur during the week " ( A ).
24.
But since the meaning of " surprising " has been restricted to " not deducible from the assumption that the hanging will occur during the week " instead of " not deducible from statement ( A ) ", the argument is blocked.
25.
But since the meaning of " surprising " has been restricted to " not deducible from the assumption that the hanging will occur during the week " instead of " not deducible from statement ( A ) ", the argument is blocked.
26.
The converse can be proven as well : if a formula always has the value 1, then it is deducible from the laws of intuitionistic logic, so the " intuitionistically valid " formulas are exactly those that always have a value of 1.
27.
This is a conclusion not only deducible from the natural law binding us to love and to assist one another, but also explicitly contained in positive precept : " If thy brother shall offend against thee, go, and rebuke him between thee and him alone.
28.
He was impatient with slackers, black or white, and members of the young generation : " They want the horn to play itself, " he said on one tape made in Portland, Ore ., in the early 1950s, the setting deducible from other references.
29.
This means that if a formula is deducible from the laws of intuitionistic logic, being derived from its axioms by way of the rule of modus ponens, then it will always have the value 1 in all Heyting algebras under any assignment of values to the formula's variables.
30.
Lenz also announced at that time his important law that, in all cases of electromagnetic induction the induced currents have such a direction that their reaction tends to stop the motion that produces them, a law that was perhaps deducible from Faraday's explanation of Arago's rotations.
