We study descriptive set theory in the space ω1 ω 1 by letting trees with no uncountable branches play a similar role as countable ordinals in traditional descriptive set theory. By using such trees, we get, for example, a covering property for the class of Π 1 1 -sets of ω1 ω 1 . We call a family U of trees universal for a class V of trees if $\mathscr{U} \subseteq \mathscr{V}$ and every tree in V can be order-preservingly mapped (...) into a tree in U. It is well known that the class of countable trees with no infinite branches has a universal family of size ℵ 1 . We shall study the smallest cardinality of a universal family for the class of trees of cardinality ≤ℵ 1 with no uncountable branches. We prove that this cardinality can be 1 (under ¬CH) and any regular cardinal κ which satisfies ℵ 2 ≤ κ ≤ 2 ℵ 1 (under CH). This bears immediately on the covering property of the Π 1 1 -subsets of the space ω1 ω 1 . We also study the possible cardinalities of definable subsets of ω1 ω 1 . We show that the statement that every definable subset of ω1 ω 1 has cardinality $ or cardinality 2 ω1 is equiconsistent with ZFC (if n ≥ 3) and with ZFC plus an inaccessible (if n = 2). Finally, we define an analogue of the notion of a Borel set for the space ω1 ω 1 and prove a Souslin-Kleene type theorem for this notion. (shrink)

We study descriptive set theory in the space $^{\omega_1}\omega_1$ by letting trees with no uncountable branches play a similar role as countable ordinals in traditional descriptive set theory. By using such trees, we get, for example, a covering property for the class of $\Pi^1_1$-sets of $^{\omega_1}\omega_1$. We call a family $\mathscr{U}$ of trees universal for a class $\mathscr{V}$ of trees if $\mathscr{U} \subseteq \mathscr{V}$ and every tree in $\mathscr{V}$ can be order-preservingly mapped into a tree in $\mathscr{U}$. It is well (...) known that the class of countable trees with no infinite branches has a universal family of size $\aleph_1$. We shall study the smallest cardinality of a universal family for the class of trees of cardinality $\leq\aleph_1$ with no uncountable branches. We prove that this cardinality can be 1 (under $\neg$CH) and any regular cardinal $\kappa$ which satisfies $\aleph_2 \leq \kappa \leq 2^{\aleph_1}$ (under CH). This bears immediately on the covering property of the $\Pi^1_1$-subsets of the space $^{\omega_1}\omega_1$. We also study the possible cardinalities of definable subsets of $^{\omega_1}\omega_1$. We show that the statement that every definable subset of $^{\omega_1}\omega_1$ has cardinality $<\omega_n$ or cardinality $2^{\omega_1}$ is equiconsistent with ZFC (if $n \geq 3$) and with ZFC plus an inaccessible (if $n = 2$). Finally, we define an analogue of the notion of a Borel set for the space $^{\omega_1}\omega_1$ and prove a Souslin-Kleene type theorem for this notion. (shrink)

Tato sta ("K pojmu "pirozenho zkona" - byt lidsky jsoucho - v Lockov filosofii") je dodatkem k m studii "K pojmu "pirozenho zkona" (byt lidsky jsoucho) v Hobbesov filosofii". Uruji v n ble momenty totonosti pojmu "pirozenho zkona" (byt lidsky jsoucho) v Lockov filosofii a pojmu "pirozenho zkona" (byt lidsky jsoucho) ve filosofii Hobbesov, tj. bytn zdroj, (obsanou) bytnost a (bytostnou) formu "pirozenho zkona" (byt lidsky jsoucho) a bytn zdroj, (obsanou) bytnost a (bytostnou) formu (stto-prvn) spoleenskho zkona (byt lidsky jsoucho). (...) A uruji v n t ble momenty rozdlnosti pojmu "pirozenho zkona" (byt lidsky jsoucho) v Lockov filosofii a pojmu "pirozenho zkona" (byt lidsky jsoucho) ve filosofii Hobbesov, tj. platnost (zvaznost) "pirozenho zkona" (byt lidsky jsoucho), platnost (zvaznost) (stto-prvn) spoleenskho zkona (byt lidsky jsoucho) a vztah "pirozenho zkona" (byt lidsky jsoucho) a (stto-prvn) spoleenskho zkona (byt lidsky jsoucho). Tato sta ("K pojmu "pirozenho zkona" - byt lidsky jsoucho - v Lockov filosofii"), jsouc dodatkem k m studii "K pojmu "pirozenho zkona" (byt lidsky jsoucho) v Hobbesov filosofii", ukazuje, e pojem "pirozenho zkona" (byt lidsky jsoucho) v Lockov filosofii je antropologicko-ontologicko-nomologicky ir a hlub ne pojem "pirozenho zkona" (byt lidsky jsoucho) ve filosofii Hobbesov; a ukazuje t, e pojem "pirozenho zkona" (byt lidsky jsoucho) v Lockov filosofii, a antropologicko-ontologicko-nomologicky ir a hlub ne pojem "pirozenho zkona" (byt lidsky jsoucho) v Hobbesov filosofii, nen pojmem mravnho zkona (byt lidsky jsoucho) a nepedbh ani nepedjm ani Kantv pojem mravnho zkona (byt lidsky jsoucho). (shrink)

Contributed research papers chiefly on various aspects of Indic philosophy, Vedic literature, etc.

Contributed research papers chiefly on various aspects of Indic philosophy, Vedic literature, etc.

'This book is a masterpiece of theoretical thought. It anticipates the actual achievements of much of what we now call sociolinguistics.

The article analyzes the creativity of one of the most famous Russian neokantians Boris V. Yakovenko. Despite the fact that the work of Yakovenko becomes the subject of analysis of an increasing number of researchers both in Russia and abroad, it has not yet taken place in a systematic analysis. The article attempts to consider the philosophical creativity of the Russian philosopher systematically, revealing both the main directions of European thought that had the greatest influence on the position of Yakovenko (...) and the main areas of philosophy to which the efforts of the national thinker were directed. These, according to the author, include the history of philosophy and the system of so-called transcendental pluralism. It is pointed out that the history of philosophy for Yakovenko is a single holistic process and therefore is the history of the development of philosophical ideas, and not the history of life and work of individual philosophers. According to Yakovenko, the general philosophical scheme of historical development looks like this: from Greek cosmism to German epistemology and the beginning ontological turn in modern philosophy. There is also the belief of B.V. Yakovenko that there is no national philosophy. In his opinion, philosophy, as well as science in General, can only be international. His second main thesis concerning the development of philosophy is that philosophy should be independent from other branches of human knowledge and knowledge. She must not be a servant of theology or science. The article also presents various stages of the Russian philosopher's development of his version of the concept of pluralistic philosophy. According to Yakovenko, only pluralistic philosophy is able to know the essence as the main object of philosophy. (shrink)

The association of Berdiaev's name with the phenomenon of perestroika seems strange at first glance and even illogical. But perestroika, which is proceeding—or, more precisely, is trying to proceed—under the sign of an intellectual renaissance, has naturally aroused interest in the names of Russian philosophers who have undeservedly been forgotten. One of these is N.A. Berdiaev . He was a Russian patriot and was profoundly concerned with Russia's fate. Living in a critical period, Berdiaev reflected a great deal over the (...) past, present, and future of his Motherland, advanced the idea of its transformation, and even used the term "perestroika" in doing so. His thoughts concerning Russia's political renewal are profound, and some of them are applicable to the present life of our society. (shrink)

В форме увлекательных бесед показаны не только высоты и бездны европейской философии, но и значительные достижения русской философской школы, уходящей своими корнями в православное мировосприятие. Для всех, кто хочет научиться серьезно мыслить.

Книга предназначена для специалистов в области истории философии, студентов и аспирантов-философов, преподавателей философии и всех интересующихся философией и ее историей.

Although research into the biosemiotic mechanisms underlying the purposeful behavior of brainless living systems is extensive, researchers have not adequately described biosemiosis among neurons. As the conscious use of signs is well-covered by the various fields of semiotics, we focus on subconscious sign action. Subconscious semiotic habits, both functional and dysfunctional, may be created and reinforced in the brain not necessarily in a logical manner and not necessarily through repeated reinforcement. We review literature that suggests hypnosis may be effective in (...) changing subconscious dysfunctional habits, and we offer a biosemiotic framework for understanding these results. If it has been difficult to evaluate any psychological approach, including hypnosis, this may be because contemporary neuroscience lacks a theory of the sign. We argue that understanding the fluid nature of representation in biological organisms is prerequisite to understanding the nature of the subconscious and may lead to more effective of treatments for dysfunctional habits developed through personal experience or culture. (shrink)

The current status of explanation worked out by Physics for the Periodic Law is considered from philosophical and methodological points of view. The principle gnosiological role of approximations and models in providing interpretation for complicated systems is emphasized. The achievements, deficiencies and perspectives of the existing quantum mechanical interpretation of the Periodic Table are discussed. The mainstream ab initio theory is based on analysis of selfconsistent one-electron effective potential. Alternative approaches employing symmetry considerations and applying group theory usually require some (...) empirical information. The approximate dynamic symmetry of one-electron potential casts light on the secondary periodicity phenomenon. The periodicity patterns found in various multiparticle systems (atoms in special situations, atomic nuclei, clusters, particles in the traps, etc) comprise a field for comparative study of the Periodic Laws found in nature. (shrink)

Festschrift in honor of V.N. Jha, b. 1946, Indologist; comprises contributed papers on various aspects of Vedic literature and philosophy.