A structure which generalizes formulas by including substitution terms is used to represent proofs in classical logic. These structures, called expansion trees, can be most easily understood as describing a tautologous substitution instance of a theorem. They also provide a computationally useful representation of classical proofs as first-class values. As values they are compact and can easily be manipulated and transformed. For example, we present an explicit transformations between expansion tree proofs and cut-free sequential proofs. A theorem prover which represents (...) proofs using expansion trees can use this transformation to present its proofs in more human-readable form. Also a very simple computation on expansion trees can transform them into Craig-style linear reasoning and into interpolants when they exist. We have chosen a sublogic of the Simple Theory of Types for our classical logic because it elegantly represents substitutions at all finite types through the use of the typed -calculus. Since all the proof-theoretic results we shall study depend heavily on properties of substitutions, using this logic has allowed us to strengthen and extend prior results: we are able to prove a strengthen form of the firstorder interpolation theorem as well as provide a correct description of Skolem functions and the Herbrand Universe. The latter are not straightforward generalization of their first-order definitions. (shrink)

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В книге говорится о творце, генерирующем творческие акты – непредсказуемые решения and (озарения and ), феномены, которыми обладает только человек-личность. Общественные институты, как и само общество в целом, не могут исключительно своими социальными усилиями генерировать творческий акт. Таким образом, без этого личностного, практически абсолютно автономного, творческого решения общество не может ни обойтись, ни чем-либо его заменить. Используя творческие акты, эти феномены, имманентные только человеку, общество консолидируется и развивается, и, таким образом, человек-творец становится двигателем истории человечества. В этом смысле категория личность (...) имеет не меньшую значимость, чем категория производительные силы или категория общество. Рассматривается концепция природы творчества по Вифляеву, с полным философским обоснованием. (shrink)

Appearing in the “Cairo Declaration on Human Rights in Islam” as an undefined referent for the limits on freedom of expression in Islam, Shariah is still to be chased as an indefinable referent which restricts freedom of the expression in the Islamic Republic of Iran. Iran’s Press Law as well as Constitution unveil Shariah’s referent to be a person: the Jurist-Ruler around whom a cult of personality is legalized in terms of “Imamate” and around whom all the limits on freedom (...) of expression revolve. Interpretation of Shariah is not a solution but part of the problem in Iran. Such problem can be dealt in terms of three modes of self-expression which were invented by the Iranian Reformists to avoid self-censorship. The notion of master-signifier can be the key to unraveling the problem of self-referentiality in freedom of expression and its Reformist solution in Iran’s legal system. (shrink)