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456 results for "analytic number theory" — page 8 of 23
ZH_2_16 — Islamic Astronomical Tables (Zīj): Precision Observation and Computational Tradition from Baghdad to Samarkand
The zīj (Arabic: زيج, plural zījāt) is the Islamic astronomical handbook tradition — comprehensive sets of numerical tables and computational instructions enabling astronomers to calculate the positions of the Sun, Moon,
ZH_1_03 — Babylonian MUL.APIN and Mathematical Astronomy
Babylonian astronomy represents the first mathematical science in human history — the first tradition to develop quantitative, predictive models of celestial phenomena based on systematic observation and arithmetic calcu
C_4_14 — Cherokee Cosmology and the Great Buzzard
Cherokee (Tsalagi) cosmology structures the universe as a three-tiered system: Galunlati (the Upper World of order, purity, and spiritual beings), Elohi (the Middle World of everyday human existence), and the Under World
C_5_01 — Cognitive Anthropology of Serpent Archetypes
This document examines the evolutionary and cognitive science explanations for why serpent beings appear in virtually every human culture. Snake Detection Theory (Isbell, 2009) proposes that primates evolved superior vis
C_3_02 — Language Origins and the Tower of Babel
How did language begin? This is "the hardest problem in science" (Christiansen & Kirby 2003). The Linguistic Society of Paris banned all papers on language origins in 1866 because the topic produced more speculation than
C_3_04 — Seven-Level Cosmology / Seven Gates
The number seven appears as a cosmic organizing principle across virtually every ancient tradition on Earth. Sumerian texts describe seven gates in the underworld through which Inanna descends, stripping away one divine
Z_5_13 — Molecular Clocks: Timing Evolution at the Sequence Level
Molecular clocks — the observation that DNA and protein sequences accumulate substitutions (mutations that become fixed in a lineage) at approximately regular rates over long periods of evolutionary time, enabling the es
Z_1_07 — Genetic Recombination and Crossing Over
Genetic recombination — the physical exchange of DNA segments between homologous chromosomes during meiosis — is a fundamental biological process that generates genetic diversity, ensures proper chromosome segregation, a
Z_1_05 — Genomic Imprinting and Parent-of-Origin Effects
Genomic imprinting is an epigenetic phenomenon in which a gene's expression depends on whether it was inherited from the mother or the father — violating the standard Mendelian assumption that both parental copies functi
Z_1_10 — Chromosome Evolution and Karyotype
Karyotype — the number, size, and morphology of chromosomes in a cell — varies enormously across species, from n=1 in the ant Myrmecia pilosula to n=630 in the fern Ophioglossum reticulatum. Humans have 2n=46 (23 pairs),
K_3_02 — Embodied Cognition
Embodied cognition is a broad research program challenging the classical cognitive science view that the mind is essentially a computer processing abstract symbols in the brain. Instead, embodied cognition holds that thi
K_3_01 — Machine Consciousness — Can AI Be Aware?
The question of machine consciousness — whether artificial systems can be genuinely aware rather than merely simulating awareness — stands at the intersection of philosophy of mind, neuroscience, and computer science. Jo
K_3_11 — Animal Consciousness and Sentience
The question of whether non-human animals possess conscious experience — subjective awareness, felt pain, emotions, and self-recognition — has moved from philosophical speculation to a major neuroscientific research prog
K_3_07 — Evolution of Consciousness
The question of when, how, and why consciousness evolved is one of the deepest unsolved problems at the intersection of biology, neuroscience, and philosophy. Two major recent proposals have attempted to identify the evo
K_1_04 — Brain as Filter vs Generator
Two opposing models have dominated the consciousness debate for over a century:
K_1_10 — Panpsychism — Comprehensive Survey
Panpsychism — the view that consciousness or experiential properties are fundamental and ubiquitous features of the physical world — has experienced a dramatic revival in analytic philosophy since the early 2000s, driven
K_1_08 — Higher-Order Theories of Consciousness
Higher-order (HO) theories of consciousness propose that a mental state becomes conscious not by virtue of its intrinsic properties but because it is the target of a higher-order mental representation — a thought, percep
K_1_12 — Orchestrated Objective Reduction: Penrose-Hameroff Theory Deep Dive
Orchestrated Objective Reduction (Orch-OR) is a theory of consciousness proposed by mathematical physicist Sir Roger Penrose (b. 1931, Nobel Prize in Physics 2020) and anesthesiologist Stuart Hameroff (b. 1947), first ar
K_4_13 — Mirror Neurons and Social Cognition
Mirror neurons are a class of neurons, first discovered in the early 1990s in the premotor cortex (area F5) of macaque monkeys by Giacomo Rizzolatti, Vittorio Gallese, and colleagues at the University of Parma, that fire
K_2_07 — Electromagnetic Theories of Consciousness
Electromagnetic (EM) field theories of consciousness propose that conscious experience arises from or is identical to the brain's endogenous electromagnetic field — the complex, time-varying EM field generated by the syn
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