scholarly journals Domain-general logical inference by 2.5-year-old toddlers

2021 ◽  
Author(s):  
Nicoló Cesana-Arlotti

What are the developmental foundations of logical thought? Here we find that 2.5-year-old toddlers (N=36) can reason using a Disjunctive Inference (i.e., A OR B, NOT A, THEREFORE B) across three contexts, which argues that domain-general logical reasoning may be in place from as early as the third year of life.

2020 ◽  
Vol 26 (10) ◽  
pp. 1343-1363
Author(s):  
Jisha Maniamma ◽  
Hiroaki Wagatsuma

Bongard Problems (BPs) are a set of 100 visual puzzles introduced by M. M. Bongard in the mid-1960s. BPs have been established as benchmark puzzles for understanding the human context-based learning abilities to solve ill- posed problems. The puzzle requires the logical explanation as the answer to distinct two classes of figures from redundant options, which can be obtained by a thinking process to alternatively change the target frame (hierarchical level of analogy) of thinking from a wide range concept networks as D. R. Hofstadter suggested. Some minor research results to solve a limited set of BPs have reported based a single architecture accompanied with probabilistic approaches; however the central problem on BP's difficulties is the requirement of flexible changes of the target frame, therefore non-hierarchical cluster analyses does not provide the essential solution and hierarchical probabilistic models needs to include unnecessary levels for learning from the beginning to prevent a prompt decision making. We hypothesized that logical reasoning process with limited numbers of meta-data descriptions realizes the sophisticated and prompt decision-making and the performance is validated by using BPs. In this study, a semantic web-based hierarchical model to solve BPs was proposed as the minimum and transparent system to mimic human-logical inference process in solving of BPs by using the Description Logic (DL) with assertions on concepts (TBox) and individuals (ABox). Our results demonstrated that the proposed model not only provided individual solutions as a BP solver, but also proved the correctness of Hofstadter's idea as the flexible frame with concept networks for BPs in our actual implementation, which no one has ever achieved. This fact will open the new horizon for theories for designing of logical reasoning systems especially for critical judgments and serious decision-making as expert humans do in a transparent and descriptive way of why they judged in that manner.


2015 ◽  
Vol 27 (4) ◽  
pp. 692-704 ◽  
Author(s):  
Jérôme Prado ◽  
Nicola Spotorno ◽  
Eric Koun ◽  
Emily Hewitt ◽  
Jean-Baptiste Van der Henst ◽  
...  

Logical connectives (e.g., or, if, and not) are central to everyday conversation, and the inferences they generate are made with little effort in pragmatically sound situations. In contrast, the neural substrates of logical inference-making have been studied exclusively in abstract tasks where pragmatic concerns are minimal. Here, we used fMRI in an innovative design that employed narratives to investigate the interaction between logical reasoning and pragmatic processing in natural discourse. Each narrative contained three premises followed by a statement. In Fully-deductive stories, the statement confirmed a conclusion that followed from two steps of disjunction–elimination (e.g., Xavier considers Thursday, Friday, or Saturday for inviting his girlfriend out; he removes Thursday before he rejects Saturday and declares “I will invite her out for Friday”). In Implicated-premise stories, an otherwise identical narrative included three premises that twice removed a single option from consideration (i.e., Xavier rejects Thursday for two different reasons). The conclusion therefore necessarily prompts an implication (i.e., Xavier must have removed Saturday from consideration as well). We report two main findings. First, conclusions of Implicated-premise stories are associated with more activity than conclusions of Fully-deductive stories in a bilateral frontoparietal system, suggesting that these regions play a role in inferring an implicated premise. Second, brain connectivity between these regions increases with pragmatic abilities when reading conclusions in Implicated-premise stories. These findings suggest that pragmatic processing interacts with logical inference-making when understanding arguments in narrative discourse.


2019 ◽  
pp. 85-106
Author(s):  
Mark Rowlands

There are no good reasons for denying that animals are rational, and many good reasons for thinking that they are. Many animals have displayed impressive capacities for causal reasoning. And some animals have displayed the ability to engage in logical reasoning operations such as modus tollendo ponens. The common reasons that have been used to deny logical reasoning capacities to animals rest on a series of clear confusions concerning the nature of logical inference and what it is to engage in such inference. It is likely that many animals execute logical inferences in the way humans would if they had not developed external formal structures to scaffold the reasoning processes.


Author(s):  
Irina Protopopova

The article provides a commentary on the “Sophist” 255c8–d7, where a question arises, whether it is necessary to introduce the eidos “Other” after the justification of Movement, Rest, Being, and Same as separate genera. In the discussion of the Other, two more eide resurface, τὰ αὐτὰ καθ' αὑτά and τὰ δὲ πρὸς ἄλλα, whose logical necessity in the course of the discussion stays in doubt. The question is raised, why was it necessary to introduce these types of being when discussing the genus of the “Other”? A brief summary of modern approaches to the passage is given; thereupon the ontological meaning of these eide is examined on the example of several Plato’s dialogues (“Phaedo”, “Symposium”, “Republic”, “Philebus”). Consulting the “Timaeus” allows us to show how these eide, in the form of two main genera (“paradigm” and “imprint”), relate to the division of existence into “self” and “reflection” in the “Sophist” (266a8–c4), and the third genus, “chora”, to the “nature of the Other” in the “Sophist”. The closeness of the descriptions of “chora” in the “Timaeus” with being figuring as Other in the analyzed passage from the “Sophist”, is reinforced by the description of being as Other in the “Parmenides”. It is concluded that the unexpected inclusion in the discussion of the five great genera of the two main eide of being indicates the ontological status of the “noetic whole” described through the interaction of the five great genera. In the final part of the paper, it is shown that the World Soul in the “Timaeus” is a “three-dimensional” cosmological image of the “noetic quintet” of the “Sophist”, which can probably explain the unnecessary, at first glance, inclusion of two ontological eide, τὰ αὐτὰ καθ' αὑτά and τὰ δὲ πρὸς ἄλλα, in the logical reasoning about the need for a genus of the “Other”.


1967 ◽  
Vol 31 ◽  
pp. 177-179
Author(s):  
W. W. Shane

In the course of several 21-cm observing programmes being carried out by the Leiden Observatory with the 25-meter telescope at Dwingeloo, a fairly complete, though inhomogeneous, survey of the regionl11= 0° to 66° at low galactic latitudes is becoming available. The essential data on this survey are presented in Table 1. Oort (1967) has given a preliminary report on the first and third investigations. The third is discussed briefly by Kerr in his introductory lecture on the galactic centre region (Paper 42). Burton (1966) has published provisional results of the fifth investigation, and I have discussed the sixth in Paper 19. All of the observations listed in the table have been completed, but we plan to extend investigation 3 to a much finer grid of positions.


1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.


1988 ◽  
Vol 102 ◽  
pp. 79-81
Author(s):  
A. Goldberg ◽  
S.D. Bloom

AbstractClosed expressions for the first, second, and (in some cases) the third moment of atomic transition arrays now exist. Recently a method has been developed for getting to very high moments (up to the 12th and beyond) in cases where a “collective” state-vector (i.e. a state-vector containing the entire electric dipole strength) can be created from each eigenstate in the parent configuration. Both of these approaches give exact results. Herein we describe astatistical(or Monte Carlo) approach which requires onlyonerepresentative state-vector |RV> for the entire parent manifold to get estimates of transition moments of high order. The representation is achieved through the random amplitudes associated with each basis vector making up |RV>. This also gives rise to the dispersion characterizing the method, which has been applied to a system (in the M shell) with≈250,000 lines where we have calculated up to the 5th moment. It turns out that the dispersion in the moments decreases with the size of the manifold, making its application to very big systems statistically advantageous. A discussion of the method and these dispersion characteristics will be presented.


Author(s):  
Zhifeng Shao

A small electron probe has many applications in many fields and in the case of the STEM, the probe size essentially determines the ultimate resolution. However, there are many difficulties in obtaining a very small probe.Spherical aberration is one of them and all existing probe forming systems have non-zero spherical aberration. The ultimate probe radius is given byδ = 0.43Csl/4ƛ3/4where ƛ is the electron wave length and it is apparent that δ decreases only slowly with decreasing Cs. Scherzer pointed out that the third order aberration coefficient always has the same sign regardless of the field distribution, provided only that the fields have cylindrical symmetry, are independent of time and no space charge is present. To overcome this problem, he proposed a corrector consisting of octupoles and quadrupoles.


Author(s):  
Oktay Arda ◽  
Ulkü Noyan ◽  
Selgçk Yilmaz ◽  
Mustafa Taşyürekli ◽  
İsmail Seçkin ◽  
...  

Turkish dermatologist, H. Beheet described the disease as recurrent triad of iritis, oral aphthous lesions and genital ulceration. Auto immune disease is the recent focus on the unknown etiology which is still being discussed. Among the other immunosupressive drugs, CyA included in it's treatment newly. One of the important side effects of this drug is gingival hyperplasia which has a direct relation with the presence of teeth and periodontal tissue. We are interested in the ultrastructure of immunocompetent target cells that were affected by CyA in BD.Three groups arranged in each having 5 patients with BD. Control group was the first and didn’t have CyA treatment. Patients who had CyA, but didn’t show gingival hyperplasia assembled the second group. The ones displaying gingival hyperplasia following CyA therapy formed the third group. GMC of control group and their granules are shown in FIG. 1,2,3. GMC of the second group presented initiation of supplementary cellular activity and possible maturing functional changes with the signs of increased number of mitochondria and accumulation of numerous dense cored granules next to few normal ones, FIG. 4,5,6.


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