The variety of residuated lattices includes a vast proportion of the classes of algebras that are relevant for algebraic logic, e.g., \-groups, Heyting algebras, MV-algebras, or De Morgan monoids. Among the outliers, one counts orthomodular lattices and other varieties of quantum algebras. We suggest a common framework—pointed left-residuated \-groupoids—where residuated structures and quantum structures can all be accommodated. We investigate the lattice of subvarieties of pointed left-residuated \-groupoids, their ideals, and develop a theory of left nuclei. Finally, we extend some (...) parts of the theory of join-completions of residuated \-groupoids to the left-residuated case, giving a new proof of MacLaren’s theorem for orthomodular lattices. (shrink)

Tool use research has suffered from a lack of consistent theoretical frameworks. There is a plethora of tool use definitions and the most widespread ones are so inclusive that the behaviors that fall under them arguably do not have much in common. The situation is aggravated by the prevalence of anecdotes, which have played an undue role in the literature. In order to provide a more rigorous foundation for research and to advance our understanding of the interrelation between tool use (...) and cognition, we suggest the adoption of Fragaszy and Mangalam's (2018) tooling framework, which is characterized by the creation of a body-plus-object system that manages a mechanical interface between tool and surface. Tooling is limited to a narrower suite of behaviors than tool use, which might facilitate its neurocognitive investigation. Indeed, evidence in the literature indicates that tooling has distinct neurocognitive underpinnings not shared by other activities typically classified as tool use, at least in primates. In order to understand the extent of tooling incidences in previous research, we systematically surveyed the comprehensive tool use catalog by Shumaker et al. (2011). We identified 201 tool use submodes, of which only 81 could be classified as tooling, and the majority of the tool use examples across species were poorly supported by evidence. Furthermore, tooling appears to be phylogenetically less widespread than tool use, with the greatest variability found in the primate order. However, in order to confirm these findings and to understand the evolution and neurocognitive mechanisms of tooling, more systematic research will be required in the future, particularly with currently underrepresented taxa. (shrink)

Talvez “redescobrimento” seja uma caracterização adequada para designar o _status_ do movimento neokantiano atualmente. Se, por um lado, o neokantismo tem recebido uma maior atenção em diversos lugares da Europa, América do norte, Ásia, e em alguns países da América Latina, por outro, na ainda jovem cultura filosófica brasileira, o estudo desse importante e decisivo movimento é algo atípico dentro de nossas instituições de ensino, para dizer o mínimo. De fato, a quantidade de trabalhos acadêmicos, artigos e livros sobre as (...) filosofias de autores como Cassirer, Windelband, Cohen, Lask, Natorp, Rickert e tantos outros que fizeram parte desse plural movimento filosófico está muito aquém do que eles realmente merecem. Sem dúvidas, esse “acerto de contas” com tais personagens seria uma tarefa muito mais árdua se não tivéssemos à nossa disposição os _Estudos_ _Neokantianos_, do Professor Mario Ariel González Porta. (shrink)

Sir Isaac Newton, writing in Latin, defined his celebrated laws of motion verbally. When the laws of motion are read as relating to his arithmetic and his calculus, division by zero is undefined so his physics fails at mathematical singularities. The situation is unchanged in modern real arithmetic and real calculus: division by zero is undefined so both Newtonian Physics and its modern developments fail at mathematical singularities. However, when Newton’s text is read as relating to transreal arithmetic and transreal (...) calculus, division by zero is defined and we show that the resulting Transreal Newtonian Physics does operate at mathematical singularities. We hold out the hope that the whole of modern physics may be similarly extended. We use the new physics to predict a convection current at the singularity in a black hole and suggest experiments in astronomy and high energy physics that might confirm or rebut our predictions. Thus our exegesis of Newton’s text extends mathematical physics and may, in future, extend experimental physics. (shrink)

Recently, Bohr’s complementarity principle was assessed in setups involving delayed choices. These works argued in favor of a reformulation of the aforementioned principle so as to account for situations in which a quantum system would simultaneously behave as wave and particle. Here we defend a framework that, supported by well-known experimental results and consistent with the decoherence paradigm, allows us to interpret complementarity in terms of correlations between the system and an informer. Our proposal offers formal definition and operational interpretation (...) for the dual behavior in terms of both nonlocal resources and the couple work-information. Most importantly, our results provide a generalized information-based trade-off for the wave–particle duality and a causal interpretation for delayed-choice experiments. (shrink)

The twentieth century saw two fundamental revolutions in physics—relativity and quantum. Daily use of these theories can numb the sense of wonder at their immense empirical success. Does their instrumental effectiveness stand on the rock of secure concepts or the sand of unresolved fundamentals? Does measuring a quantum system probe, or even create, reality, or merely change belief? Must relativity and quantum theory just co-exist or might we find a new theory which unifies the two? To bring such questions into (...) sharper focus, we convened a conference on 'Quantum Physics and the Nature of Reality'. Some issues remain as controversial as ever, but some are being nudged by theory’s secret weapon of experiment. (shrink)

At the risk of proving myself such a caviller, I want to ask a question which I have seldom heard raised, and which I have never seen discussed in anything that I have read about Berkeley. If I am right, it poses a problem for his immaterialism, not only different, but coming from a different direction, from those objections that are commonly levelled against him. If I am wrong, it will show how right Berkeley was to stress the difficulty of (...) using for one purpose our language which has become fashioned for another. At least, I hope that I shall not fail to be the ‘fair and ingenuous reader’for whom he asked. (shrink)

An assessment is made of Rudolf Otto's criticisms of Friedrich Schleiermacher's claim that religious feeling is to be interpreted as essentially involving a feeling of absolute dependence. Otto's criticisms are divided into two kinds. The first suggest that a feeling a dependence, even an absolute one, is the wrong sort of feeling to locate at the heart of religious consciousness. It is argued that this criticism is based on misinterpretations of Schleiermacher's view, which is in fact much closer to Otto's (...) than the latter appreciated. The second kind of criticism suggests that the feeling of absolute dependence cannot play the foundational role assigned to it by Schleiermacher, since it is itself a secondary response. It is argued not only that Otto provides no justification for this criticism, but that Otto's own position is incoherent unless Schleiermacher's view is accepted. (shrink)

The Problem of Perception offers two arguments against direct realism--one concerning illusion, and one concerning hallucination--that no current theory of ...

One of Hume's most well-known works and a masterpiece of philosophy, A Treatise of Human Nature is indubitably worth taking the time to read.

An attempt is made to pinpoint the way in which perception is related to belief. Although, for familiar reasons, it is not true to say that we necessarily believe in the existence of the objects we perceive, nor that they actually have their ostensible characteristics, it is argued that the relation between perception and belief is more than merely contingentThere are two main issues to address. the first is that ‘collateral’ beliefs may impede perceptual belief. It is argued that this (...) still assigns an essential role to belief in perception, though the belief may be of an attenuated form. the second is Fred Dretske's claim that even attenuated belief may be entirely absent from perception. It is argued that (a) ‘non‐epistemic’perception can be understood only by employing the concept of ‘epistemic’perception; (b) that the former can occur only partially—i.e., within perceptions that are otherwise epistemic; and (c) that by switching attention from the perception of objects to the Phenomenological tradition's concern with the perception of world, we can see that perception must be entirely permeated with ‘doxastic’force. (shrink)

A. D. M. Walker; III*—Gratefulness and Gratitude, Proceedings of the Aristotelian Society, Volume 81, Issue 1, 1 June 1981, Pages 39–56, https://doi.org/10.1093.