Danny A. J. Gomez-Ramirez

We approach the notion of general (global) human intelligence as a prominently multifaceted concept which can be tested in at least seventy specific scenarios. We say that an agent has Artificial Global Intelligence (AGLI), if it is able to perform in an intelligent manner for at least the collection of tasks defining the former scenarios. In particular, based on Gartner's multiple intelligences theory, we describe the design of a concrete test for AGLI made in such a way that an ‘average’ young human being should, per diffinitionem, pass it. We compare our holistic test with several highly representative human and artificial intelligence tests for deducing that our AGLI test is the one with the broader scope of the whole range of intelligence. However, we claim as a plausible hypothesis and based on the wide thematic spectrum of the test that the most outstanding inventions of AI currently available are far from getting a high score on it. Finally, we open a discussion about the fact that, although there are artificial agents being able to simulate intelligent behaviour at a perfect level for several local tasks, this seems not to be the case for AGLI. This would imply, in particular, a kind of practical implausibility of the notion of intelligence explosion coming from philosophy of AI.

We argue for the possibility of validating the presence of consciousness in another person from a perspective that blends both, a third-person approach of coming close to, observing, and understanding the other; and a first-person assessment of how the experience of the other feels like. For this, we will need to explain how the line between the third-person and first-person approaches is blurred in some methodological approaches. We rest our position largely on the back of some seminal conclusions of the meditations of Ren\'e Descartes and other theories concerning consciousness like Chalmers' naturalistic dualism and, to some secondary extent on Integrated Information Theory (IIT). Additionally, we describe fundamental contextual principles already developed in the literature and the arts (like Stanivlaski's Acting System), and then we use them for setting a suitable methodology that we feel can be used to validate the presence of others' conscious experiences in one's consciousness (at suitable periods of spacetime). Finally, we give general methodological guidelines for the construction of the concrete experiment and we explore very briefly the potential implications of this kind of research in other academic and non-academic settings.

We present a multidisciplinary, universal a pragmatic theory of causation based explicitly on five methodological causal seminal dimensions. The first one is called formal-mathematical-idealist theory and emerges as a meta-conceptual fusion of several existing causal theories. The second one is essentially based on a global, scientific and technical perspective. In fact, this can be considered as a meta-dimension encompassing a huge number of academic disciplines. The third dimension arises once more as combination of former approaches having the mind and its laws as the central paradigm. The fourth one is structurally related with our subjective phenomenological world and its objective impact on the external universe. And, finally, the fifth dimension is closely related with the first one, but more oriented toward the global implicit purpose of the universe and what this implies causally on the events in nature. We give several concrete examples elucidating the explanatory range of our theory.

We describe (essential features and an axiomatization of) a new metamathematical (cognitive) ability, i.e., functional conceptual substratum, used implicitly in the generation of several mathematical proofs and definitions, and playing a fundamental role in Artificial Mathematical Intelligence (or Cognitive-computational metamathematics). Furthermore, we present an initial (first-order) formalization of this mechanism together with its characterizing relation with classic notions like primitive positive definability and Diophantiveness. Additionally, we analyze the semantic variability of functional conceptual substratum when small syntactic modifications are done. Finally, we describe cognitively natural inference rules for (mathematical) definitions inspired by functional conceptual substratum and we show that they are sound and complete w.r.t.\ standard calculi.

The boundless nature of the natural numbers imposes paradoxically a high formal bound to the use of standard artificial computer programs for solving conceptually challenged problems in number theory. In the context of the new cognitive foundations for mathematics' and physics' program immersed in the setting of artificial mathematical intelligence, we proposed a refined numerical system, called the physical numbers, preserving most of the essential intuitions of the natural numbers. Even more, this new numerical structure additionally possesses the property of being a bounded object allowing us to work with quite similar axioms like the classic Peano axioms, but in a finite environment and with an enriched physical dimension. Finally, we present several enlightening examples and we conclude that the physical numbers provide a natural formal setting for approaching classic problems in number theory from a more hybrid perspective, i.e. with a potential participation in the generation of solutions, not only of working mathematicians but also of more sophisticated artificial interactive (mathematical) intelligent agents (within the context of cognitive-computational metamathematics or artificial mathematical intelligence) and more controlled by physically-inspired principles. Finally, this paper addresses a highly new, bottom-up and paradigm-shifting approach to the foundations of physics: One should refine and improve the conceptual formal setting of the language that we use for understanding physical phenomena (e.g. the mathematical grounding concepts and theories) for being able to understand better more subtle and complex physical phenomena.