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70Our conscious experiences are qualitative and unitary. The qualitative universals given in particular experiences, i.e. qualia, combine into the seamless unity of our conscious experience. The problematics of quality and cohesion are not unique to consciousness studies. In mathematics, the study of qualities (e.g., shape) resulting from quantitative variations in cohesive spaces led to the axiomatization of cohesion and quality. Using the mathematical definition of quality, herein we model quali…Read more
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59Functorial Semantics for the Advancement of the Science of CognitionMind and Matter 15 (2). 2017.Our manuscript addresses the foundational question of cognitive science: how do we know? Specifically, examination of the mathematics of acquiring mathematical knowledge revealed that knowing-within-mathematics is reflective of knowing-in-general. Based on the correspondence between ordinary cognition (involving physical stimuli, neural sensations, mental concepts, and conscious percepts) and mathematical knowing (involving objective particulars, measured properties, abstract theories, and con…Read more
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141Category Theory and the Ontology of ŚūnyatāIn Peter Gobets & Robert Lawrence Kuhn (eds.), The Origin and Significance of Zero: An Interdisciplinary Perspective, Brill. pp. 450-478. 2024.Notions such as śūnyatā, catuṣkoṭi, and Indra's net, which figure prominently in Buddhist philosophy, are difficult to readily accommodate within our ordinary thinking about everyday objects. Famous Buddhist scholar Nāgārjuna considered two levels of reality: one called conventional reality, and the other ultimate reality. Within this framework, śūnyatā refers to the claim that at the ultimate level objects are devoid of essence or "intrinsic properties", but are interdependent by virtue of thei…Read more
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188That the state-of-affairs of cognitive science is not good is brought into figural salience in "What happened to cognitive science?" (Núñez et al., 2019). We extend their objective description of 'what's wrong' to a prescription of 'how to correct'. Cognitive science, in its quest to elucidate 'how we know', embraces a long list of subjects, while ignoring Mathematics (Fig. 1a, Núñez et al., 2019). Mathematics is known for making the unknown to be known (cf. solving for unknowns). This acknowled…Read more
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307Mind, according to cognitive neuroscience, is a set of brain functions. But, unlike sets, our minds are cohesive. Moreover, unlike the structureless elements of sets, the contents of our minds are structured. Mutual relations between the mental contents endow the mind its structure. Here we characterize the structural essence and the logical form of the mind by focusing on thinking. Examination of the relations between concepts, propositions, and syllogisms involved in thinking revealed the refl…Read more
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220Truth through NonviolenceGITAM Journal of Gandhian Studies 5 (1): 143-150. 2016.What is reality? How do we know? Answers to these fundamental questions of ontology and epistemology, based on Mahatma Gandhi's "experiments with truth", are: reality is nonviolent (in the sense of not-inconsistent), and nonviolence (in the sense of respecting-meaning) is the only means of knowing (Gandhi, 1940). Be that as it may, science is what we think of when we think of reality and knowing. How does Gandhi's nonviolence, discovered in his spiritual quest for Truth, relate to the scientific…Read more
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186Neuroscientific discourse on consciousness often resorts to "collection of elements", notwithstanding the Gestalt demonstrations against representing conscious experience as a collection of sensory elements. Here I show that defining conscious experience as an object of the category of conscious experiences, instead of as cohesion-less set of structure-less elements, provides the conceptual repertoire—basic shapes, figures, and incidence relations—needed to reason about the essence of conscious …Read more
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167The irrational exuberance associated with contemporary artificial intelligence (AI) reminds me of Charles Dickens: "it was the age of foolishness, it was the epoch of belief" (cf. Nature Editorial, 2016; to get a feel for the vanity fair that is AI, see Mitchell and Krakauer, 2023; Stilgoe, 2023). It is particularly distressing—feels like yet another rerun of Seinfeld, which is all about nothing (pun intended); we have seen it in the 60s and again in the 90s. AI might have had an inauspicious …Read more
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225There is a lesson from the woods--Bollywood, Kollywood, Mollywood, and Tollywood--of make-believe, which speaks to the core concern of science: the practice of science. Puspha, an Indian movie that brought the movie industry to its senses, with its global popularity has this to say: Be thyself; keep it real. Situated in a remote region aeons apart from the vast concrete and intimate plastic world we are familiar with, the happenings in the distant and alien universe of discourse--a hamlet adja…Read more
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383The 'Science of Knowing: Mathematics' textbook is the first book to put forward and substantiate the thesis that the mathematical understanding of mathematics, as exemplified in F. William Lawvere's Functorial Semantics, constitutes the science of knowing i.e. cognitive science. This is a textbook, i.e. teaching material.
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201We call for a change-of-attitude towards reviews of scientific literature. We begin with an acknowledgement of reviews as pathways for the advancement of our scientific understanding of reality. The significance of the scientific struggle propelling the putting together of pieces of knowledge into parts of a cohesive body of understanding is recognized, and yet undervalued, especially in empirical sciences. Here we propose a nudge, which is prefacing the insights gained in reviewing the liter…Read more
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196Beginning with an examination of the deep history of making things and thinking about making things made-up in our minds, I argue that the resultant declarative understanding of the procedural knowledge of abstracting theories and building models—the essence(s) of the practice of science—embodied in Conceptual Mathematics is worth learning beginning with high school, along with grammar and calculus. One of the many profound scientific insights introduced—in a manner accessible to total beginner…Read more
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179Beginning with an examination of the recent Nature News centered on Harvard-Lancet-Mehra et al. COVID-19 research scandal, I put forth suggestions--for further debate--to safeguard the integrity of science in a time of crisis. In particular, I identify a subtle form of lying published as Nature news. Subsequently, drawing on Scarry's book "Thinking in an Emergency", I argue that slow reasoning and quick action (called for by crises) are not mutually incompatible; thinking can be transformed in…Read more
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251Objective Logic of ConsciousnessIn 14th Nalanda Dialogue, . forthcoming.We define consciousness as the category of all conscious experiences. This immediately raises the question: What is the essence in which every conscious experience in the category of conscious experiences partakes? We consider various abstract essences of conscious experiences as theories of consciousness. They are: (i) conscious experience is an action of memory on sensation, (ii) conscious experience is experiencing a particular as an exemplar of a general, (iii) conscious experience is an int…Read more
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161What is cognition? Equivalently, what is cognition good for? Or, what is it that would not be but for human cognition? But for human cognition, there would not be science. Based on this kinship between individual cognition and collective science, here we put forward Isbell conjugacy---the adjointness between objective geometry and subjective algebra---as a scientific method for developing cognitive science. We begin with the correspondence between categorical perception and category theory. Next…Read more
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419Kahneman's 'Asian disease' has nothing to do with Asians or their diseases; it is disrespectful of the basic principles of psychology. The attendant research--fooling people--is not science. Here I show how to build a science of the mind.
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227Gandhi's Satya: Truth entails peaceIn Anshuman Behera & Shailesh Nayak (eds.), Gandhi in the Twenty First Century, . pp. 189-198. 2022.What is Gandhi’s Satya? How does truth entail peace? Satya or truth, for Gandhi, is experiential. The experiential truth of Gandhi does not exclude epistemological, metaphysical, or moral facets of truth, but is an unequivocal acknowledgement of the subjective basis of the pursuit of objectivity. In admitting my truth, your truth, our truth, their truth, etc., Gandhi brought into clear focus the reality of I and we—the subjects (or viewpoints) of subjective experiences (views). The totality of t…Read more
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203Math literacy is miniscule compared to the near universal language literacy of mother tongues. Our search for the root cause of this undesirable human condition led us to: Grammar (or the abstract essence) of a language. Language learning begins with grammar, unless the language happens to be mathematics, which is unique in not even considering including the grammar (abstract general/theory) of mathematics in the mathematical pedagogy. Here we make a case for introducing the abstract essence …Read more
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276Hard, Harder, and the Hardest Problem: The Society of Cognitive SelvesTattva - Journal of Philosophy 12 (1): 75-92. 2020.The hard problem of consciousness is explicating how moving matter becomes thinking matter. Harder yet is the problem of spelling out the mutual determinations of individual experiences and the experiencing self. Determining how the collective social consciousness influences and is influenced by the individual selves constituting the society is the hardest problem. Drawing parallels between individual cognition and the collective knowing of mathematical science, here we present a conceptualizati…Read more