This paper presents Automath encodings (which are also valid in LF/λP) of various kinds of foundations of mathematics. Then it compares these encodings according to their size, to find out which foundation is the simplest.
The systems analyzed in this way are two kinds of set theory (ZFC and NF), two systems based on Church's higher order logic (Isabelle/Pure and HOL), three kinds of type theory (the calculus of constructions, Luo's extended calculus of constructions, and Martin-Löf's predicative type theory) and one foundation based on category theory.
The conclusions of this paper are that the simplest system is type theory (the calculus of constructions), but that type theories that know about serious mathematics are not simple at all. In that case the set theories are the simplest. If one looks at the number of concepts needed to explain such a system, then higher order logic is the simplest, with twenty-five concepts. On the other side of the scale, category theory is relatively complex, as is Martin-Löf's type theory.
(The full Automath sources of the contexts described in this paper are one the web at http://www.cs.ru.nl/~freek/zfc-etc/.) 相似文献
Mereological nihilism is the philosophical position that there are no items that have parts. If there are no items with parts
then the only items that exist are partless fundamental particles, such as the true atoms (also called philosophical atoms)
theorized to exist by some ancient philosophers, some contemporary physicists, and some contemporary philosophers. With several
novel arguments I show that mereological nihilism is the correct theory of reality. I will also discuss strong similarities
that mereological nihilism has with empirical results in quantum physics. And I will discuss how mereological nihilism vindicates
a few other theories, such as a very specific theory of philosophical atomism, which I will call quantum abstract atomism.
I will show that mereological nihilism also is an interpretation of quantum mechanics that avoids the problems of other interpretations,
such as the widely known, metaphysically generated, quantum paradoxes of quantum physics, which ironically are typically accepted
as facts about reality. I will also show why it is very surprising that mereological nihilism is not a widely held theory,
and not the premier theory in philosophy. 相似文献
This paper reports an attempt to develop a foundation of a theory of employee well-being (EWB) by borrowing concepts and findings
from research in personality-social psychology. The proposed conceptual framework has four central principles: The principle
of goal selection based on valence, the principle of goal selection based on expectancy, the goal implementation principle,
and the goal attainment principle. These principles have corollaries expanding the logic of the proposed theoretical relationships.
Specifically, the principle of goal selection based on valence has nine corollaries: Approach versus avoidance goals, goal meaningfulness, high- versus low-level goals, goals related to cultural norms, goals related to deprived needs, goals related to basic versus growth needs, intrinsic versus extrinsic goals, goals producing flow, and autonomy in goal setting. The principle of goal selection based on expectancy
has five corollaries: Goal-motive congruence, goal-cultural value congruence, goal-resources congruence, goal conflict, and
adapting goals to changes in circumstances. The principle of goal implementation has two corollaries: Goal concreteness and
goal commitment. Finally, the goal attainment principle has three corollaries: Recognition of goal attainment, intensity versus frequency of positive feedback, and progress reports. 相似文献
The contention that basic behavioral intentions are forecasted by emotional expressions has received surprisingly little empirical
support. We introduce a behavioral task that gauges the speed with which movement of angry and fearful faces (toward or away
from an expressor's gaze) are accurately detected. In two studies we found that perceivers were faster to correctly detect
approaching anger faces (i.e., faces that moved in the direction of their own gaze). The opposite, however, was not true for
fear expressions. These findings offer evidence that, at least for anger displays, the basic behavioral intent to approach
is strongly transmitted and at very low-levels of processing, even priming congruent behavioral responses in observers. The
null results for fear faces may indicate that these signal a “freezing” response or behavioral inhibition rather than flight
per se. The results of this work are discussed in relation to contemporary theories of emotion. 相似文献
Within liberal democratic theory, ‘democratic accountability’ denotes an aggregative method for linking political decisions to citizens’ preferences through representative institutions. Could such a notion be transferred to the global context of human rights? Various obstacles seem to block such a transfer: there are no ‘world citizens’ as such; many people in need of human rights are not citizens of constitutional democratic states; and the aggregative methods that are supposed to sustain the link are often used in favour of nation-state strategic action rather than human rights. So what could accountability mean in relation to human rights? This article argues that discourse theory offers resources for approaching these problems and for rethinking a normative notion of accountability in relation to human rights. It is suggested that accountability should link political decisions to universal agreements through global rights institutions and that the link should be sustained by deliberative rather than aggregative procedures. 相似文献
Four studies apply self-determination theory (SDT; Ryan & Deci, 2000) in investigating motivation for computer game play,
and the effects of game play on well-being. Studies 1–3 examine individuals playing 1, 2 and 4 games, respectively and show
that perceived in-game autonomy and competence are associated with game enjoyment, preferences, and changes in well-being
pre- to post-play. Competence and autonomy perceptions are also related to the intuitive nature of game controls, and the
sense of presence or immersion in participants’ game play experiences. Study 4 surveys an on-line community with experience
in multi-player games. Results show that SDT’s theorized needs for autonomy, competence, and relatedness independently predict
enjoyment and future game play. The SDT model is also compared with Yee’s (2005) motivation taxonomy of game play motivations.
Results are discussed in terms of the relatively unexplored landscape of human motivation within virtual worlds. 相似文献
We establish a connection between the geometric methods developed in the combinatorial theory of small cancellation and the
propositional resolution calculus. We define a precise correspondence between resolution proofs in logic and diagrams in small cancellation theory, and as a consequence, we derive that a resolution proof is a 2-dimensional process. The isoperimetric
function defined on diagrams corresponds to the length of resolution proofs. 相似文献
An adequate evaluation of argumentation requires identification of the object to which the argumentation pertains: the point of view. What are the distinguishing features of this object? In the pragma-dialectical argumentation theory, the object of argumentation is referred to by means of the notion ‘standpoint’. In other theories concerned with argumentation, reasoning, convincing or persuading, notions are used such as ‘thesis’, ‘conclusion’, ‘opinion’ and ‘attitude’. This paper is a survey of the characterisations of the object of argumentation given in the various theories. It discusses the pragma-dialectical argumentation theory, socio-psychological research on persuasion, cognitive research on reasoning, argumentative discourse analysis, two variants of informal logic, advocacy and debate, and the theory of communicative action. Next, it explores some relations between the notions used in these theories. Finally, it outlines some starting points for further research into the problems of identification. 相似文献