The logic of the sciences and the humanities
This is a collection of 24 essays, more than half of which have been published before in different journals. The applications of logic and scientific theory in different natural and social sciences and the humanities are analyzed. There is a main theme which runs through all chapters: one has to distinguish between the natural history stage of a science and the stage of deductively formulated theory. The first uses concepts by intuition, the second concepts by postulation. “Epistemic correlations” serve to connect these two kinds of concepts. In the treatment of the social sciences great emphasis is placed on the distinction between problems of fact and problems of value, and the question of whether normative problems can be solved by scientific methods is discussed. Following are some of the topics considered: physical science and biological organization, the functions of poetry, body and mind, quantum mechanics, economic science, causality in field physics in its bearing upon biological causation, the criterion of the good state, world peace, educational method for world understanding, the scientific method for determining the normative social theory of the ends of human action, religious knowledge. (PsycINFO Database Record (c) 2016 APA, all rights reserved). 
The Digital Future is Now: A Call to Action for the Humanities
The digital humanities are at a critical moment in the transition from a specialty area to a full-fledged community with a common set of methods, sources of evidence, and infrastructure – all of which are necessary for achieving academic recognition. As budgets are slashed and marginal programs are eliminated in the current economic crisis, only the most articulate and productive will survive. Digital collections are proliferating, but most remain difficult to use, and digital scholarship remains a backwater in most humanities departments with respect to hiring, promotion, and teaching practices. Only the scholars themselves are in a position to move the field forward. Experiences of the sciences in their initiatives for cyberinfrastructure and eScience offer valuable lessons. Information- and data-intensive, distributed, collaborative, and multi-disciplinary research is now the norm in the sciences, while remaining experimental in the humanities. Discussed here are six factors for comparison, selected for their implications for the future of digital scholarship in the humanities: publication practices, data, research methods, collaboration, incentives, and learning. Drawing upon lessons gleaned from these comparisons, humanities scholars are “called to action” with five questions to address as a community: What are data? What are the infrastructure requirements? Where are the social studies of digital humanities? What is the humanities laboratory of the 21st century? What is the value proposition for digital humanities in an era of declining budgets.
What Science Offers the Humanities: Integrating Body and Culture
What Science Offers the Humanities examines some of the deep problems facing the study of culture. It focuses on the excesses of postmodernism, but also acknowledges serious problems with postmodernism’s harshest critics. In short, Edward Slingerland argues that in order for the humanities to progress, its scholars need to take seriously contributions from the natural sciences – and particular research on human cognition – which demonstrate that any separation of the mind and the body is entirely untenable. The author provides suggestions for how humanists might begin to utilize these scientific discoveries without conceding that science has the last word on morality, religion, art, and literature. Calling into question such deeply entrenched dogmas as the ‘blank slate’ theory of nature, strong social constructivism, and the ideal of disembodied reason, What Science Offers the Humanities replaces the human-sciences divide with a more integrated approach to the study of culture.
A Note on Edgeworth Expansion
The Edgeworth expansion plays important role in approximating the distribution function, specially the tail probabilities of a complicated statistic. For example, sometimes, the test statistic, in hand, is too complicated and deriving its quantiles is too hard. However, these quantiles are necessary for decision making in hypothesis testing. This problem is seen frequently in change point analysis. Thus, in these fields, the Edgeworth expansion is valuable mean. The traditional Edgeworth expansion is derived using the approximation of characteristic function by Taylor expansion. In the current note, an alternative method is proposed to derive this expansion. This paper is concerned with application of Euler-Lagrange equation in Edgeworth expansion. The method is proposed and error analysis shows that the method is accurate. The application of bootstrap method is observed. Finally, a conclusion section is proposed.
Short Note on Kyle’s Equilibrium Class
The asymmetric information plays critical role in all economics. In the presence of asymmetric information in a given market, market prices of assets are different with those prices under the no arbitrage assumption. It has fundamental effects on the market equilibrium.  considered three types of traders: noise trader, informed trader and market maker in a given market in the presence of asymmetric information property. He derived the equilibrium prices of assets. In this short note, Kyle’s results are extended. It is seen that a class of equilibrium prices exists, referred as the Kyle’s equilibrium class. To this end, first, it is proved that there is a simple linear relation between the variance of equilibrium price and the variance of traded asset size. Then, this simple relation is replaced with a general linear relation. By maximizing the profit function of informed trader, in this case, the Kyle’s equilibrium class is derived. Simulation results are also given. Finally, a conclusion section is given. 
 Northrop, F.S.C., 1947. The Logic of the Sciences and the Humanities.
 Borgman, C.L., 2010. The digital future is now: A call to action for the humanities. Digital humanities quarterly, 3(4).
 Slingerland, E., 2008. What science offers the humanities: Integrating body and culture.
 Habibi, R., 2016. A Note on Edgeworth Expansion. Asian Research Journal of Mathematics, pp.1-4.
 Habibi, R., 2017. Short Note on Kyle’s Equilibrium Class. Asian Research Journal of Mathematics, pp.1-5.