We characterize Δ20-categoricity in Boolean algebras and linear orderings under some extra effectiveness conditions. We begin with a study of the relativized notion in these structures.

This article concerns the prescriptive function of decision analysis. Consider an agent who must choose an action yielding welfare that varies with an unknown state of nature. It is often asserted that such an agent should adhere to consistency axioms which imply that behavior can be represented as maximization of expected utility. However, our agent is not concerned the consistency of his behavior across hypothetical choice sets. He only wants to make a reasonable choice from the choice set that he (...) actually faces. Hence, I reason that prescriptions for decision making should respect actuality. That is, they should promote welfare maximization in the choice problem the agent actually faces. Any choice respecting weak and stochastic dominance is rational from the actualist perspective. (shrink)

In many classes of structures, each computable structure has computable dimension 1 or $\omega$. Nevertheless, Goncharov showed that for each $n < \omega$, there exists a computable structure with computable dimension $n$. In this paper we show that, under one natural definition of relativized computable dimension, no computable structure has finite relativized computable dimension greater than 1.

This article extends the brief description of cognition previously offered in the adaptational theory of consciousness (ATC). Here I suggest how unconscious and conscious minds interact to achieve mutual cognitive development. Interactions occur in an extended moment of subjective time consisting of perceptual, associational, and affective scenes. During the extended moment, the conscious self becomes time-agile, shuttling between the past, present, and future in order to assemble ideas within global awareness that produce pleasure. The products of its cognitive journeys are (...) saved as synaptic modifications by the unconscious mind's mnemonic functions. As this occurs, instincts and the conscious self's implementation of cultural values are brought into better alignment. (shrink)

" -- Dr. Daniel Gardner, Cornell University Medical College Charles Stevens, a prominent neurobiologist who originally trained as a biophysicist (with George Uhlenbeck and Mark Kac), wrote this book almost by accident.

This book examines the strengths and weaknesses of four salient epistemological orientations in the field – positivism, relativism, interpretivism, and intersubjectivism – to identify the characteristics of a theoretically-informed epistemology for social science.

Econometric analysis of discrete choice has made considerable use of random utility models to interpret observed choice behavior. Much empirical research concerns choice problems in which persons act with partial knowledge of the utilities of the feasible actions. Economists use random expected utility models to analyze such choice problems. A common practice is to specify fully the expectations that persons hold, in which case choice analysis reduces to inference on preferences alone. However, the expectations assumptions made in empirical research rarely (...) have much foundation. To enable more credible research, this paper considers inference when one specifies a set of expectations that decision makers may plausibly hold. I first pose the idea in abstraction and then specialize to binary response with linear utilities, where the analysis is particularly straightforward. I initially assume that decision makers possess unique subjective probability distributions on the states of nature and make choices that maximize expected utility. I later consider the possibility that persons place only partial probabilistic structure on the states of nature and make undominated choices. (shrink)

In a survey of information theory and some of its implications, Warren Weaver has proposed a distinction between engineering noise and semantic noise. Ordinary Spanish usage reflects this distinction quite neatly. If A speaks to B and B responds with no entiendo, it means ‘I have not heard your words, because of interfering sound or lack of attention; please transmit the same message again’; if he responds with no comprendo, it means ‘I heard you all right, but what I heard (...) doesn't make sense; please paraphrase or explain.’ Channel noise, thus, is the responsible factor when that which leaves a transmitter is not that which reaches the receiver; semantic noise is a discrepancy between the codes used by transmitter and receiver. (shrink)

Natural law theories affirm that it belongs to the nature of law to be apt to promote the common good or do something similar. I defend a weak version of this thesis according to which part of what constitutes something as a nondefective central case of a posited law is that it is apt to promote the common good. Just as the rules of Pictionary require the drawing player to design her drawing to reveal the word in play, the rules (...) of a central case of a legal system require lawmakers to design laws to promote the common good. Therefore, just as a Pictionary drawing that is inapt to reveal the word in play is defective, a central case of a posited law that is inapt to promote the common good is defective. (shrink)

In The Gift of Jesus, beloved pastor and teacher Dr. Charles Stanley takes a deeply personal and inspiring look at how God gave us Himself through the birth of Christ. When He sent Jesus, He closed the separation between us, showing Himself to be intimately involved in every detail that concerns us. This book will usher you into Jesus' presence, reveal His compassionate heart, and help you treasure the best parts of the Advent season. --Amazon.com.

DNA is an important agent not only in chemistry and biology but also in technology and modern culture. A number of books approach the double helix from different angles. These perspectives include (1) the science of DNA and genetics; (2) genetic engineering; (3) the ethics of manipulating genetic material; and (4) DNA in culture and religion. Various views of DNAprovide insights into human nature beyond its molecular composition.

Dr. Stanley introduces you to the essential beliefs for trusting God. Even when you cannot understand why God would allow certain situations to occur, these beliefs form the basis for trusting Him. It is what you believe that makes it possible to ask the right questions in the face of a tragedy or great needs in your life.

Although his work and life have been well documented, John Dewey's role in the postwar peace movement has been generally overlooked. In America's Peace-Minded Educator, the authors take a close look at John Dewey's many undertakings on behalf of world peace.