Many lymphokine genes have now been cloned from activated T cells and their products have been expressed in mammalian cells. Use of these recombinant lymphokines has provided the opportunity to evaluate both the spectrum of their biological activities and the mechanisms of their action in promoting proliferation and differentiation of hemopoietic and lymphoid cells. Characterization of the structure of lymphokine genes will provide information about their regulated expression in T‐cell activation.

In Arai (An ordinal analysis of a single stable ordinal, submitted) it is shown that an ordinal \(\sup _{N is an upper bound for the proof-theoretic ordinal of a set theory \(\mathsf {KP}\ell ^{r}+(M\prec _{\Sigma _{1}}V)\). In this paper we show that a second order arithmetic \(\Sigma ^{1-}_{2}{\mathrm {-CA}}+\Pi ^{1}_{1}{\mathrm {-CA}}_{0}\) proves the wellfoundedness up to \(\psi _{\varOmega _{1}}(\varepsilon _{\varOmega _{{\mathbb {S}}+N+1}})\) for each _N_. It is easy to interpret \(\Sigma ^{1-}_{2}{\mathrm {-CA}}+\Pi ^{1}_{1}{\mathrm {-CA}}_{0}\) in \(\mathsf {KP}\ell ^{r}+(M\prec _{\Sigma (...) _{1}}V)\). (shrink)

We gather the following miscellaneous results in proof theory from the attic.1. 1. A provably well-founded elementary ordering admits an elementary order preserving map.2. 2. A simple proof of an elementary bound for cut elimination in propositional calculus and its applications to separation problem in relativized bounded arithmetic below S21.3. 3. Equivalents for Bar Induction, e.g., reflection schema for ω logic.4. 4. Direct computations in an equational calculus PRE and a decidability problem for provable inequations in PRE.5. 5. Intuitionistic fixed (...) point theories which are conservative extensions of HA.6. 6. Proof theoretic strengths of classical fixed points theories.7. 7. An equivalence between transfinite induction rule and iterated reflection schema over IΣn.8. 8. Derivation lengths of finite rewrite rules reducing under lexicographic path orders and multiply recursive functions.Each section can be read separately in principle. (shrink)

Weiermann [18] introduces a new method to generate fast growing functions in order to get an elegant and perspicuous proof of a bounding theorem for provably total recursive functions in a formal theory, e.g., in PA. His fast growing function θαn is described as follows. For each ordinal α and natural number n let T α n denote a finitely branching, primitive recursive tree of ordinals, i.e., an ordinal as a label is attached to each node in the tree so (...) that the labelling is compatible with the tree ordering. Then the tree T α n is well founded and hence finite by Konig's lemma. Define θαn=the depth of the tree T α n =the length of the longest branch in T α n . We introduce new fast and slow growing functions in this mode of definitions and show that each of these majorizes provably total recursive functions in PA. (shrink)

For α < ε0, Nα denotes the number of occurrences of ω in the Cantor normal form of α with the base ω. For a binary number-theoretic function f let B denote the length n of the longest descending chain of ordinals <ε0 such that for all i < n, Nαi ≤ f . Simpson [2] called ε0 as slowly well ordered when B is totally defined for f = K · . Let |n| denote the binary length of the (...) natural number n, and |n|k the k-times iterate of the logarithmic function |n|. For a unary function h let L denote the function B ) with h0 = K + |i| · |i|h. In this note we show, inspired from Weiermann [4], that, under a reasonable condition on h, the functionL is primitive recursive in the inverse h–1 and vice versa. (shrink)

Classical work on Hindu cosmology by Huccaṇṇa, 16th century Kannada author.

동아시아 사상의 슈퍼스타 인仁에 대한 최초의 통사通史! 공자 이전부터 탄쓰통까지, 삼국시대부터 최한기까지 중국 및 한국 인仁사상 11단계로 정리 사람다운 삶을 이끌어가는 핵심 윤리로 인仁의 상생의 힘 발굴 한번뿐인 인생, 사람다움을 선택한 이들의 치열한 삶도 조명.

Hicri I ve II. asırlarda meydana gelen bir takım olaylar, Müslümanların düşünce dünyalarına da bazı tartışmaları beraberinde getirmiştir. Tartışmalı ortamın gerektirdiği sahih bir inanç sisteminin ortaya konulması, akâid türü metinlerin yazılmasına sebep olmuştur. Mâtürîdî ekolünde, Ebû Hanife (ö. 150/767)’nin Fıkhu’l-ekber’i ile başlatılan bu tür metinler içerisinde Hakîm es-Semerkandî (ö. 324/953)’nin es-Sevâdü’l-a‘zam’ı da önemli bir yer tutmaktadır. Bu metnin ayırt edici özelliği ise akâid eseri olmasına rağmen içerisinde birçok fıkhî meseleler barındırmasıdır. Genelde akâid metinlerinde özelde de es-Sevâdü’l-a‘zam isimli eserde fıkhî meselelerin (...) yer almasının muhtemel sebeplerini incelemeye yönelik olan bu çalışmada; Akâid ve fıkıh arasındaki sağlam ilişki, müellifin hanefi-matürîdî geleneğine bağlılığı, muhalif fırkaların görüşlerine tepkisel bir söylem ve dönemin güncel sorunlarına cevap bulma gayesi üzerinde durulacaktır. (shrink)

Mongolian traditional teaching of reasoning.

Theories on World origin and Human Nature.

The aim of this paper is to give a characterisation of religion and the Religious Spirit, basing itself on the Platonic assumption that there are Forms, salient jewels of simplicity and affinity, to be dug out from the soil of vague experience and cut clear from the confusedly shifting patterns of usage, which will give us conceptual mastery over the changeable detail in a given sector. It will further be Platonic in that it will not seek to discount the deep (...) gulfs between the species into which religion qua genus divides itself, i.e. its theistic, polytheistic and atheistic subvarieties, taking it to be of the essence of a true genus to extend itself over mutually exclusive species, only being what it is by including in its sense the alternatives which are thus mutually exclusive. And my treatment will be Platonic, thirdly, in that it will endeavour to delimit the Religious Spirit by, on the one hand, setting it over against what it excludes, all purely this-world talk and life which is quite irreligious, and by, on the other hand, opposing it to forms of talk and life which fall short of it in various ways or which deviate from it variously, thereby likewise contributing to our understanding of what it is. The practice of Plato, which could study the deviations from his ideal city in order to confirm his notion of its structure and excellence, and which also paired every ideal pattern with its opposite— piety with impiety, justice with self-interested tyranny, etc.—is plainly one to be followed: Plato, as we know from a citation from his contemporary Hermodorus in one of the Aristotelian commentators, always set beside the ‘in itself’ of the pure Form the deviant and the wholly negative which were nonetheless part of its sense. Religion will therefore stand before us as a target that it is possible to fall short of or miss altogether as well as to hit squarely, and we shall try by a series of glancing darts to end by hitting it squarely. (shrink)

This book reveals and discusses the foundations of law and justice. Fifteen leading lawyers and philosophers of law, representing thirteen nations and fifteen different philosophical schools examine the value and purpose of law, and the nature and requirements of law and justice. Some of the world's most learned and provocative legal scholars address the ultimate questions of legal and social philosophy from all angles and the broadest possible perspective, with special reference to the work of Mortimer Newlin Stead Sellers, and (...) the republican, liberal, and analytical schools of legal thought. The conclusions reached here are not fully unanimous, congruent or conclusive, but they represent the pinnacle of legal scholarship as it exists today and furnish the necessary basis for any future study of law, justice, or the ultimate requirements of just, effective and legitimate law and society. (shrink)