What is <Emphasis Type="Italic">the</Emphasis> Logic of Inference?

The topic of this paper is the question whether there is a logic which could be justly called the logic of inference. It may seem that at least since Prawitz, Dummett and others demonstrated the proof-theoretical prominency of intuitionistic logic, the forthcoming answer is that it is this logic that is the obvious choice for the accolade. Though there is little doubt that this choice is correct (provided that inference is construed as inherently single-conclusion and complying with the Gentzenian structural rules), I do not think that the usual justification of it is satisfactory. Therefore, I will first try to clarify what exactly is meant by the question, and then sketch a conceptual framework in which it can be reasonably handled. I will introduce the concept of ‘inferentially native’ logical operators (those which explicate inferential properties) and I will show that the axiomatization of these operators leads to the axiomatic system of intuitionistic logic. Finally, I will discuss what modifications of this answer enter the picture when more general notions of inference are considered. Presented by Hannes Leitgeb     

Frege’s <Emphasis Type="Italic">Begriffsschrift</Emphasis> as a <Emphasis Type="Italic">lingua characteristica</Emphasis>

In this paper I suggest an answer to the question of what Frege means when he says that his logical system, the Begriffsschrift, is like the language Leibniz sketched, a lingua characteristica, and not merely a logical calculus. According to the nineteenth century studies, Leibniz’s lingua characteristica was supposed to be a language with which the truths of science and the constitution of its concepts could be accurately expressed. I argue that this is exactly what the Begriffsschrift is: it is a language, since, unlike calculi, its sentential expressions express truths, and it is a characteristic language, since the meaning of its complex expressions depend only on the meanings of their constituents and on the way they are put together. In fact it is in itself already a science composed in accordance with the Classical Model of Science. What makes the Begriffsschrift so special is that Frege is able to accomplish these goals with using only grammatical or syncategorematic terms and so has a medium with which he can try to show analyticity of the theorems of arithmetic.     

<Emphasis Type="Italic">Uh</Emphasis> and <Emphasis Type="Italic">Um</Emphasis> Revisited: Are They Interjections for Signaling Delay?

Clark and Fox Tree (2002) have presented empirical evidence, based primarily on the London–Lund corpus (LL; Svartvik & Quirk, 1980), that the fillers uh and um are conventional English words that signal a speaker’s intention to initiate a minor and a major delay, respectively. We present here empirical analyses of uh and um and of silent pauses (delays) immediately following them in six media interviews of Hillary Clinton. Our evidence indicates that uh and um cannot serve as signals of upcoming delay, let alone signal it differentially: In most cases, both uh and um were not followed by a silent pause, that is, there was no delay at all; the silent pauses that did occur after um were too short to be counted as major delays; finally, the distributions of durations of silent pauses after uh and um were almost entirely overlapping and could therefore not have served as reliable predictors for a listener. The discrepancies between Clark and Fox Tree’s findings and ours are largely a consequence of the fact that their LL analyses reflect the perceptions of professional coders, whereas our data were analyzed by means of acoustic measurements with the PRAAT software (www.praat.org). A comparison of our findings with those of O’Connell, Kowal, and Ageneau (2005) did not corroborate the hypothesis of Clark and Fox Tree that uh and um are interjections: Fillers occurred typically in initial, interjections in medial positions; fillers did not constitute an integral turn by themselves, whereas interjections did; fillers never initiated cited speech, whereas interjections did; and fillers did not signal emotion, whereas interjections did. Clark and Fox Tree’s analyses were embedded within a theory of ideal delivery that we find inappropriate for the explication of these phenomena.     

The Role of <Emphasis Type="Italic">Umwelt</Emphasis> in Husserl’s <Emphasis Type="Italic">Aufbau</Emphasis> and <Emphasis Type="Italic">Abbau</Emphasis> of the <Emphasis Type="Italic">Natur/Geist</Emphasis> Distinction

In this essay I argue that Husserl’s development of the nineteenth century Natur/Geist distinction is grounded in the intentional correlate between the pre-theoretical natural attitude and environing world (Umwelt). By reconsidering the Natur/Geist distinction through its historical context in the nineteenth century debate between Wilhelm Dilthey and the Neo-Kantians from the Baden or Southwest school, it is possible to understand more clearly Husserl’s appropriations and novel contributions. One of Husserl’s contributions lies in his rigorous thematization and clarification of the constitutive features proper to the natural and human sciences as they arise from the pre-theoretical experience of an environing world. This ordinary lived experience between the lived body and environing world is presupposed by and forms a unity with both Natur and Geist, thereby acting as the unified ground that is inclusive of naturalized Geist and a geistig nature. This unbuilding (Abbau) of the Natur/Geist distinction is necessary, according to Husserl, for the radical clarification of the respective methodologies of the natural and human sciences.     

Do humans use episodic memory to solve a <Emphasis Type="Italic">What</Emphasis>-<Emphasis Type="Italic">Where</Emphasis>-<Emphasis Type="Italic">When</Emphasis> memory task?

What-Where-When (WWW) memory tasks have been used to study episodic(-like) memory in non-human animals. In this study, we investigate whether humans use episodic memory to solve such a WWW memory task. Participants are assigned to one of two treatments, in which they hide different coin types (what) in different locations (where) on two separate occasions (when). In the Active treatment, which mimics the animal situation as closely as possible, participants are instructed to memorize the WWW information; in the Passive treatment, participants are unaware of the fact that memory will be tested. In both groups, the majority of participants report using a mental time travel strategy to solve the task, and performance on a different episodic memory test significantly predicts performance on the WWW memory task. This suggests that the WWW memory task is a good test of episodic memory in humans. Participants remember locations and coins from the first hiding session better than they do those of the second hiding session, suggesting their memories may be reinforced during the second hiding session. We also investigated how well episodic memory performance predicted performance on the three aspects of the WWW memory task separately. In the Passive treatment, episodic memory performance predicts performance on all three aspects of the WWW memory task equally. However, in the Active treatment it only predicts performance on the what component. This could imply that during active encoding a different memory system is used for where and when information than during passive encoding. Encoding of what information seems to rely on episodic memory processing in both conditions.     

That in the <Emphasis Type="Italic">Martyā</Emphasis> Which is <Emphasis Type="Italic">Amṛta</Emphasis>: a Dialog with Ramchandra Gandhi

This philosophical meditation, which deals with death as question, presence, and even teacher, begins with Ramchandra Gandhi’s (RCG’s) penetrating essay ‘On Meriting Death.’ What does it mean ‘to merit’ death? To provide an answer, I travel through RCG’s corpus, in dialog with contemporary theorists such as Sri Aurobindo, Daya Krishna, and Mukund Lath. RCG implies that the question about ‘meriting’ death, and life, is not and cannot be ‘personal’ or ‘isolated’. For X to die, is for his close and distant samāj a matter of losing him and living without him. Hence meriting death, as also life, is a joint venture which involves deep understanding regarding non-isolation as the heart of the human situation. RCG’s creative thinking, or svarāj in ideas, reaches its peak when he dares to offer an answer of his own to the piercing question kim ā?caryam, ‘what is amazing?’ raised in the Yak?a-pra?na episode of the Mahābhārata. For RCG, the heart of the matter is not the ‘ungraspability’ of one’s unavoidable death, or the perennial search for ‘permanence’ in vain, but our failure to perceive ‘that in the martyā which is am?ta,’ i.e., a sense of solidarity in the face of death, connecting ‘I and Thou,’ which he derives from the icchā m?tyu of his grandfather, the famous Mahatma.     

The Flexibility of <Emphasis Type="Italic">Gua</Emphasis> and <Emphasis Type="Italic">Yao</Emphasis>—Based on an interpretation of <Emphasis Type="Italic">Yizhuan</Emphasis>

In Yizhuan’s interpretation of The Book of Changes, the book’s fundamental concepts, xiang 象 (images) and ci 辞 (words), play different roles. Concepts, including yin and yang, firmness and gentleness, sancai 三才 (three fundamentals), and the wuxing 五行 (five active elements), are used to interpret The Book of Changes through the interpretation of images, while the core Confucian values, such as benevolence and righteousness, are used to interpret The Book of Changes because of their connection with words of gua and yao. In order to expand the meaning of the words of gua and yao, Yizhuan sometimes connects words with images; in other occasions, however, it simply takes these words as independent guides. The Confucian scholars who wrote Yizhuan, therefore, not only revered the classic, but also used it to send their own message. Out of reverence, they “shu 述 (recited)”; in using it, they “zuo 作 (created)”. The combination of recitation and creation made the words of gua and yao very flexible in the process of interpretation, while the interpretation changed the meaning of the classic to a great extent.     

Wilt Chamberlain <Emphasis Type="Italic">Redux</Emphasis>?

According to Eric Mack, the Wilt Chamberlain Argument makes two distinct points against all patterned and end-state theories of justice. First, the pattern theorist cannot explain how innocuous actions can give rise to an injustice. Second, the enforcement of a pattern theory requires constant redistribution of holdings, and that prevents people from forming legitimate expectations about their future holdings. This paper responds to both of these points. Mack’s first point denies or disregards the relevance of harmful consequences to the justice or injustice of a distribution. The second point is based on a requirement that is either too demanding to be plausible, or too permissive to undermine pattern theories. The failure of Mack’s arguments illustrates the difficulty of resolving substantive political debates with a priori arguments alone. When faced with objections, the only possible defense of the Wilt Chamberlain argument resorts to empirical claims, which stand in need of empirical evidence.     

What <Emphasis Type="Italic">is</Emphasis> wrong with intelligent design?

While a great deal of abuse has been directed at intelligent design theory (ID), its starting point is a fact about biological organisms that cries out for explanation, namely “specified complexity” (SC). Advocates of ID deploy three kind of argument from specified complexity to the existence of a designer: an eliminative argument, an inductive argument, and an inference to the best explanation. Only the first of these merits the abuse directed at it; the other two arguments are worthy of respect. If they fail, it is only because we have a better explanation of SC, namely Darwin’s theory of evolution by natural selection.     

Advertising <Emphasis Type="Italic">Fantasy</Emphasis>: Consuming Passion -‘Consumed’ <Emphasis Type="Italic">Desire</Emphasis>

Advertisements (n = 400) published in Bengali periodicals in four different time periods, 1947–48, 1971–72, 1991–92 & 2008–09 drawn following a multistage sampling were analyzed to see the pattern of change in concepts associated with products. They included four categories of products/ services : Jewellery, cosmetics, garments and banking. The analysis of advertisements indicated that diverse values are associated with products that have social and cultural connotations. Through such value addition, as if consumption of these commodities provides the consumer with an opportunity to construct, maintain and communicate identity and social meanings. However, the consumer emerged not as a passive victim, but an active agent in the construction of meaning.     

Don’t Ever Do That! Long-term Duties in <Emphasis Type="Italic">PD</Emphasis><Subscript><Emphasis Type="Italic">e</Emphasis></Subscript><Emphasis Type="Italic">L</Emphasis>

This paper studies long-term norms concerning actions. In Meyer’s Propositional Deontic Logic (PD _e L), only immediate duties can be expressed, however, often one has duties of longer durations such as: “Never do that”, or “Do this someday”. In this paper, we will investigate how to amend PD _e L so that such long-term duties can be expressed. This leads to the interesting and suprising consequence that the long-term prohibition and obligation are not interdefinable in our semantics, while there is a duality between these two notions. As a consequence, we have provided a new analysis of the long-term obligation by introducing a new atomic proposition I (indebtedness) to represent the condition that an agent has some unfulfilled obligation. Presented by Jacek Malinowski     

Interval estimation of gamma for an<Emphasis Type="Italic">R</Emphasis>×<Emphasis Type="Italic">S</Emphasis> table

When the underlying responses are on an ordinal scale, gamma is one of the most frequently used indices to measure the strength of association between two ordered variables. However, except for a brief mention on the use of the traditional interval estimator based on Wald's statistic, discussion of interval estimation of the gamma is limited. Because it is well known that an interval estimator using Wald's statistic is generally not likely to perform well especially when the sample size is small, the goal of this paper is to find ways to improve the finite-sample performance of this estimator. This paper develops five asymptotic interval estimators of the gamma by employing various methods that are commonly used to improve the normal approximation of the maximum likelihood estimator (MLE). Using Monte Carlo simulation, this paper notes that the coverage probability of the interval estimator using Wald's statistic can be much less than the desired confidence level, especially when the underlying gamma is large. Further, except for the extreme case, in which the underlying gamma is large and the sample size is small, the interval estimator using a logarithmic transformation together with a monotonic function proposed here not only performs well with respect to the coverage probability, but is also more efficient than all the other estimators considered here. Finally, this paper notes that applying an ad hoc adjustment procedure—whenever any observed frequency equals 0, we add 0.5 to all cells in calculation of the cell proportions—can substantially improve the traditional interval estimator. This paper includes two examples to illustrate the practical use of interval estimators considered here.The authors wish to thank the Associate Editor and the two referees for many valuable comments and suggestions to improve the contents and clarity of this paper. The authors also want to thank Dr. C. D. Lin for his graphic assistance.     

<Emphasis Type="Italic">Above</Emphasis>, <Emphasis Type="Italic">on</Emphasis>, or <Emphasis Type="Italic">shang</Emphasis> (上)? Language and spatial representations among English–Mandarin bilinguals

This study investigated if exposure to spatial language could affect spatial cognition in English-Mandarin bilinguals by focusing on contact/noncontact distinctions, an area that has been a source of contention in the language-and-thought literature. Sixty-three participants were first primed with sentences containing spatial terms (e.g., above, on) before performing a spatial decision task. Approximately half of the participants (n = 33) were primed in English; for the remaining participants (n = 30), primes comprising Mandarin spatial terms―which mark spatial distinctions differently than in English (e.g., shang in Mandarin signifies both above and on in English)―were employed instead. Our findings revealed that participants’ performance was influenced by spatial primes in the English experiment, thereby proffering evidence for thinking-for-speaking effects. However, these findings were not mirrored for the Mandarin experiment, confirming that the contact/noncontact specificity of spatial terms may have been instrumental in engendering the thinking-for-speaking effects observed in English.     

New life for Carnap’s <Emphasis Type="Italic">Aufbau</Emphasis>?

This is a personal, incomplete, and very informal take on the role of logic in general philosophy of science, which is aimed at a broader audience. We defend and advertise the application of logical methods in philosophy of science, starting with the beginnings in the Vienna Circle and ending with some more recent logical developments.