It is no longer true for realizability of types ( infinite sets of formulas ) with free variables, as you have attempted here.
12.
According to the multiple realizability account of functionalism, even non-human systems such as robots and computers can be ascribed as having cognition.
13.
His most noted original contributions to that field came in several key papers published in the late 1960s that set out the hypothesis of multiple realizability.
14.
In recent years, however, multiple realizability has been used as a weapon to attack the very theory that it was originally designed to defend.
15.
Despite its initial plausibility, the identity theory faces a strong challenge in the form of the thesis of multiple realizability, first formulated by Hilary Putnam.
16.
The dominant theory ( " received view " in the words of non-reductive physicalism and one of its central pillars is the hypothesis of multiple realizability.
17.
Putnam concluded that type-identity theorists had been making an " ambitious " and " highly implausible " conjecture which could be disproven with one example of multiple realizability.
18.
Questions of this kind give rise to a following problem : determine the degree of realizability of the conclusions of mathematical statements in the case of approximate validity of conditions.
19.
Kleene's method introduced the technique of realizability, which is now one of the main methods in the study of constructive theories ( Kohlenbach 2008; Troelstra 1973 ).
20.
Any psychology which is narrowed down sufficiently to handle this level of multiple realizability will almost certainly not be general enough to capture the generalizations needed to explain only human psychology.
